Advanced search
Publication Cover
International Journal of General Systems Volume 12, 1986 - Issue 3
Submit an article Journal homepage
128
Views
310
CrossRef citations to date
0
Altmetric
Original Articles

A SET-THEORETIC VIEW OF BELIEF FUNCTIONS Logical operations and approximations by fuzzy sets†

DIDIER DUBOIS Langages et Systèmes Informatiques, Université Paul Sabatier, Toulouse, France
&
HENRI PRADE Langages et Systèmes Informatiques, Université Paul Sabatier, Toulouse, France
Pages 193-226 | Received 26 Sep 1985, Accepted 08 Nov 1985, Published online: 06 Apr 2007

Citations (310)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (17)

Mei Cai, Jingmei Xiao, Qian Luo, Yu Gao, Xinglian Jian & Ya Wang. (2024) Evidential FMEA method for human reliability assessment. Quality Engineering 36:1, pages 21-35.
Read now
Xingli Wu & Huchang Liao. (2022) An adaptive evidence combination method for decision analysis under uncertainty. Journal of the Operational Research Society 73:11, pages 2465-2479.
Read now
Deqiang Han, Yi Yang & Chongzhao Han. (2017) Evidence updating based on novel Jeffrey-like conditioning rules. International Journal of General Systems 46:6, pages 587-615.
Read now
A Taroun & J-B Yang. (2013) A DST-based approach for construction project risk analysis. Journal of the Operational Research Society 64:8, pages 1221-1230.
Read now
MOURAD OUSSALAH. (2000) ON THE PROBABILITY/POSSIBILITY TRANSFORMATIONS:A COMPARATIVE ANALYSIS. International Journal of General Systems 29:5, pages 671-718.
Read now
DAVID HARMANEC. (1997) A NOTE ON UNCERTAINTY, DEMPSTER RULE OF COMBINATION, AND CONFLICT. International Journal of General Systems 26:1-2, pages 63-72.
Read now
LUIS MATEUS ROCHA. (1997) RELATIVE UNCERTAINTY AND EVIDENCE SETS: A CONSTRUCTIVIST FRAMEWORK. International Journal of General Systems 26:1-2, pages 35-61.
Read now
Y.Y. YAO, S.K.M. WONG & L.S. WANG. (1995) A NON-NUMERIC APPROACH TO UNCERTAIN REASONING. International Journal of General Systems 23:4, pages 343-359.
Read now
YUTAKA MAEDA & HIDETOMO ICHIHASHI. (1993) AN UNCERTAINTY MEASURE WITH MONOTONICITY UNDER THE RANDOM SET INCLUSION. International Journal of General Systems 21:4, pages 379-392.
Read now
GEORGEJ. KLIR†BEHZAD PARVIZ. (1992) PROBABILITY-POSSIBILITY TRANSFORMATIONS: A COMPARISON. International Journal of General Systems 21:3, pages 291-310.
Read now
RUDOLF KRUSE & ERHARD SCHWECKE. (1990) SPECIALIZATION—A NEW CONCEPT FOR UNCERTAINTY HANDLING WITH BELIEF FUNCTIONS. International Journal of General Systems 18:1, pages 49-60.
Read now
GEORGEJ. KLIR. (1990) A PRINCIPLE OF UNCERTAINTY AND INFORMATION INVARIANCE*. International Journal of General Systems 17:2-3, pages 249-275.
Read now
JOHNR. SIMS & WANG ZHENYUAN. (1990) FUZZY MEASURES AND FUZZY INTEGRALS: AN OVERVIEW. International Journal of General Systems 17:2-3, pages 157-189.
Read now
E. M. OBLOW. (1988) FOUNDATIONS OF O-THEORY: MEASUREMENTS AND RELATION TO FUZZY SET THEORY. International Journal of General Systems 14:4, pages 357-378.
Read now
BERNARDP. ZEIGLER. (1988) SOME PROPERTIES OF MODIFIED DEMPSTER-SHAFER OPERATORS IN RULE BASED INFERENCE SYSTEMS. International Journal of General Systems 14:4, pages 345-356.
Read now
E. M. OBLOW. (1987) A PROBABILISTIC-PROPOSITIONAL FRAMEWORK FOR THE O-THEORY INTERSECTION RULE. International Journal of General Systems 13:3, pages 187-201.
Read now
E. M. OBLOW. (1987) O-THEORY—A HYBRID UNCERTAINTY THEORY. International Journal of General Systems 13:2, pages 95-106.
Read now

Articles from other publishers (293)

Harish Garg, Bulendra Limboo & Palash Dutta. (2024) Multi-criteria group decision-making process using convex combination of q-rung orthopair basic probability assignment with application to medical diagnosis. Engineering Applications of Artificial Intelligence 133, pages 108421.
Crossref
Qianli Zhou, Ye Cui, Witold Pedrycz & Yong Deng. (2024) Conjunctive and disjunctive combination rules in random permutation set theory: A layer-2 belief structure perspective. Information Fusion 102, pages 102083.
Crossref
Hao Luo, Qianli Zhou, Zhen Li & Yong Deng. (2024) Variational Quantum Linear Solver-based Combination Rules in Dempster–Shafer Theory. Information Fusion 102, pages 102070.
Crossref
Eduardo Souza de CursiEduardo Souza de Cursi. 2024. Uncertainty Quantification with R. Uncertainty Quantification with R 413 480 .
Eduardo Souza de CursiEduardo Souza de Cursi. 2024. Uncertainty Quantification with R. Uncertainty Quantification with R 321 412 .
Eduardo Souza de CursiEduardo Souza de Cursi. 2024. Uncertainty Quantification with R. Uncertainty Quantification with R 265 320 .
Eduardo Souza de CursiEduardo Souza de Cursi. 2024. Uncertainty Quantification with R. Uncertainty Quantification with R 203 264 .
Eduardo Souza de CursiEduardo Souza de Cursi. 2024. Uncertainty Quantification with R. Uncertainty Quantification with R 133 201 .
Eduardo Souza de CursiEduardo Souza de Cursi. 2024. Uncertainty Quantification with R. Uncertainty Quantification with R 1 131 .
Hélène Fargier & Romain Guillaume. 2024. Symbolic and Quantitative Approaches to Reasoning with Uncertainty. Symbolic and Quantitative Approaches to Reasoning with Uncertainty 27 39 .
Nicholas J. J. Smith. (2023) Acting on belief functions. Theory and Decision 95:4, pages 575-621.
Crossref
Jean Dezert & Albena Tchamova. (2023) Involutory Negator of Basic Belief Assignments. Cybernetics and Information Technologies 23:3, pages 3-22.
Crossref
Yiru Zhang, Sébastien Destercke, Zuowei Zhang, Tassadit Bouadi & Arnaud Martin. (2023) On Computing Evidential Centroid Through Conjunctive Combination: An Impossibility Theorem. IEEE Transactions on Artificial Intelligence 4:3, pages 487-496.
Crossref
Alexander Lepskiy. 2023. Data Analysis and Optimization. Data Analysis and Optimization 179 190 .
Palash Dutta & Bulendra Limboo. (2022) A new association coefficient measure for the conflict management and its application in medical diagnosis. International Journal of Information Technology 14:7, pages 3767-3779.
Crossref
Qianli Zhou & Yong Deng. (2022) NPNT: Non-oscillating Process Negation Transformation of mass functions and a negation-based discounting method in information fusion. Engineering Applications of Artificial Intelligence 116, pages 105381.
Crossref
Andrey G. Bronevich & Alexander E. Lepskiy. (2022) Measures of conflict, basic axioms and their application to the clusterization of a body of evidence. Fuzzy Sets and Systems 446, pages 277-300.
Crossref
Krzysztof Kaczmarek, Ludmila Dymova & Pavel Sevastjanov. (2022) Intuitionistic fuzzy rule-base evidential reasoning with application to the currency trading system on the Forex market. Applied Soft Computing 128, pages 109522.
Crossref
Didier Dubois, Francis Faux, Henri Prade & Agnès Rico. (2022) Qualitative capacities: Basic notions and potential applications. International Journal of Approximate Reasoning 148, pages 253-290.
Crossref
Ludmila Dymova, Krzysztof Kaczmarek & Pavel Sevastjanov. (2022) An extension of rule base evidential reasoning in the interval-valued intuitionistic fuzzy setting applied to the type 2 diabetes diagnostic. Expert Systems with Applications 201, pages 117100.
Crossref
Mohammad Reza Rajati & Jerry M. Mendel. (2022) Uncertain knowledge representation and reasoning with linguistic belief structures. Information Sciences 585, pages 471-497.
Crossref
Thierry Denœux. (2021) Belief functions induced by random fuzzy sets: A general framework for representing uncertain and fuzzy evidence. Fuzzy Sets and Systems 424, pages 63-91.
Crossref
Dominik Hose & Michael Hanss. (2021) A universal approach to imprecise probabilities in possibility theory. International Journal of Approximate Reasoning 133, pages 133-158.
Crossref
Andrey G. Bronevich & Igor N. Rozenberg. (2021) The measurement of relations on belief functions based on the Kantorovich problem and the Wasserstein metric. International Journal of Approximate Reasoning 131, pages 108-135.
Crossref
Thierry Denœux. (2021) Distributed combination of belief functions. Information Fusion 65, pages 179-191.
Crossref
Siti Mutmainah, Samir Hachour, Frédéric Pichon & David Mercier. 2021. Belief Functions: Theory and Applications. Belief Functions: Theory and Applications 247 256 .
Hongfei Wang, Wen Jiang, Xinyang Deng & Jie Geng. 2021. Belief Functions: Theory and Applications. Belief Functions: Theory and Applications 237 246 .
Tekwa Tedjini, Sohaib Afifi, Frédéric Pichon & Eric Lefèvre. 2021. Belief Functions: Theory and Applications. Belief Functions: Theory and Applications 224 233 .
Didier Dubois, Francis Faux & Henri Prade. (2020) Prejudice in uncertain information merging: Pushing the fusion paradigm of evidence theory further. International Journal of Approximate Reasoning 121, pages 1-22.
Crossref
Xinyang Deng & Wen Jiang. (2020) On the negation of a Dempster–Shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, pages 346-352.
Crossref
Mahmoud Reza Delavar & Mansoureh Sadrykia. (2020) Assessment of Enhanced Dempster-Shafer Theory for Uncertainty Modeling in a GIS-Based Seismic Vulnerability Assessment Model, Case Study—Tabriz City. ISPRS International Journal of Geo-Information 9:4, pages 195.
Crossref
Jie Zhao, Rui Xue, Zhenning Dong, Deyu Tang & Wenhong Wei. (2020) Evaluating the reliability of sources of evidence with a two-perspective approach in classification problems based on evidence theory. Information Sciences 507, pages 313-338.
Crossref
Yassir Idmessaoud, Didier Dubois & Jérémie Guiochet. 2020. Scalable Uncertainty Management. Scalable Uncertainty Management 141 155 .
Thierry Denœux, Didier Dubois & Henri Prade. 2020. A Guided Tour of Artificial Intelligence Research. A Guided Tour of Artificial Intelligence Research 119 150 .
Didier Dubois, Patricia Everaere, Sébastien Konieczny & Odile Papini. 2020. A Guided Tour of Artificial Intelligence Research. A Guided Tour of Artificial Intelligence Research 441 485 .
Jingyuan Jia & Bo Wang. (2019) Composition Method of Weak Decision-Making Evidence Based on Focal Element Weight. Composition Method of Weak Decision-Making Evidence Based on Focal Element Weight.
Thierry Denœux, Orakanya Kanjanatarakul & Songsak Sriboonchitta. (2019) A new evidential K-nearest neighbor rule based on contextual discounting with partially supervised learning. International Journal of Approximate Reasoning 113, pages 287-302.
Crossref
Andrey G. Bronevich & Igor N. Rozenberg. (2019) The contradiction between belief functions: Its description, measurement, and correction based on generalized credal sets. International Journal of Approximate Reasoning 112, pages 119-139.
Crossref
Liguo Fei, Yuqiang Feng & Luning Liu. (2019) Evidence combination using OWA‐based soft likelihood functions. International Journal of Intelligent Systems 34:9, pages 2269-2290.
Crossref
Thierry Denœux. (2019) Logistic regression, neural networks and Dempster–Shafer theory: A new perspective. Knowledge-Based Systems 176, pages 54-67.
Crossref
John Klein. (2019) Complementary Lipschitz continuity results for the distribution of intersections or unions of independent random sets in finite discrete spaces. International Journal of Approximate Reasoning 110, pages 164-184.
Crossref
Sébastien Destercke, Frédéric Pichon & John Klein. (2019) From set relations to belief function relations. International Journal of Approximate Reasoning 110, pages 46-63.
Crossref
Frédéric Pichon, Anne-Laure Jousselme & Nadia Ben Abdallah. (2019) Several shades of conflict. Fuzzy Sets and Systems 366, pages 63-84.
Crossref
Thierry Denœux. (2019) Decision-making with belief functions: A review. International Journal of Approximate Reasoning 109, pages 87-110.
Crossref
Fatma Haouas, Basel Solaiman, Zouhour Ben Dhiaf, Atef Hamouda & Khaled Bsaies. (2019) Multi-temporal image change mining based on evidential conflict reasoning. ISPRS Journal of Photogrammetry and Remote Sensing 151, pages 59-75.
Crossref
Lei Li & Zhi Li. (2019) On operations of possibilistic belief structures. Information Sciences 472, pages 94-106.
Crossref
Siti Mutmainah, Samir Hachour, Frédéric Pichon & David Mercier. 2019. Scalable Uncertainty Management. Scalable Uncertainty Management 382 389 .
Joanna Głowacka, Piotr Gajewski, Wojciech Bednarczyk, Michał Ciołek, Krzysztof Parobczak & Jarosław Wojtuń. 2019. Cognitive Radio-Oriented Wireless Networks. Cognitive Radio-Oriented Wireless Networks 100 111 .
Frédéric Pichon, Didier Dubois & Thierry Denœux. 2019. Information Quality in Information Fusion and Decision Making. Information Quality in Information Fusion and Decision Making 31 49 .
Jean Dezert, Albena Tchamova & Deqiang Han. (2018) Correct Proof of Shafer's Belief Conditioning Formulas. Correct Proof of Shafer's Belief Conditioning Formulas.
Xinyang Deng. (2018) Analyzing the monotonicity of belief interval based uncertainty measures in belief function theory. International Journal of Intelligent Systems 33:9, pages 1869-1879.
Crossref
Xiao-Feng Xue, Yun-Wen Feng & Cheng Lu. (2018) A reliability analysis method including confidence level and probability reliability under epistemic and aleatory uncertainty. Advances in Mechanical Engineering 10:5, pages 168781401877846.
Crossref
Nathalie Helal, Frédéric Pichon, Daniel Porumbel, David Mercier & Éric Lefèvre. (2018) The capacitated vehicle routing problem with evidential demands. International Journal of Approximate Reasoning 95, pages 124-151.
Crossref
Frédéric Pichon. (2018) Canonical decomposition of belief functions based on Teugels’ representation of the multivariate Bernoulli distribution. Information Sciences 428, pages 76-104.
Crossref
Tuan Anh Tran, Carine Jauberthie, Françoise Le Gall & Louise Travé-Massuyès. (2018) Evidential box particle filter using belief function theory. International Journal of Approximate Reasoning 93, pages 40-58.
Crossref
Jun Xia, Yuqiang Feng, Luning Liu, Dongjun Liu & Liguo Fei. (2018) An Evidential Reliability Indicator-Based Fusion Rule for Dempster-Shafer Theory and its Applications in Classification. IEEE Access 6, pages 24912-24924.
Crossref
Thierry Denœux & Shoumei Li. (2018) Frequency-calibrated belief functions: Review and new insights. International Journal of Approximate Reasoning 92, pages 232-254.
Crossref
John Klein, Sebastien Destercke & Olivier Colot. (2018) Idempotent conjunctive and disjunctive combination of belief functions by distance minimization. International Journal of Approximate Reasoning 92, pages 32-48.
Crossref
Sébastien Destercke, Frédéric Pichon & John Klein. 2018. Belief Functions: Theory and Applications. Belief Functions: Theory and Applications 65 72 .
Andrey G. Bronevich & Igor N. Rozenberg. 2018. Belief Functions: Theory and Applications. Belief Functions: Theory and Applications 31 38 .
Alexander Lepskiy. 2018. Belief Functions: Theory and Applications. Belief Functions: Theory and Applications 172 180 .
Andrey G. Bronevich & Natalia S. Spiridenkova. 2018. Advances in Fuzzy Logic and Technology 2017. Advances in Fuzzy Logic and Technology 2017 273 285 .
Vincentius Andrew Pratama & Friska Natalia. (2017) A dempster-shafer approach to an expert system design in diagnosis of febrile disease. A dempster-shafer approach to an expert system design in diagnosis of febrile disease.
Lei Li, Xintao Hu & Yongming Li. (2017) Set operations on maxitive belief structures. Set operations on maxitive belief structures.
Mansoureh Sadrykia, Mahmoud Reza Delavar & Mehdi Zare. (2017) A GIS-based decision making model using fuzzy sets and theory of evidence for seismic vulnerability assessment under uncertainty (case study: Tabriz). Journal of Intelligent & Fuzzy Systems 33:3, pages 1969-1981.
Crossref
Xinyang Deng & Wen Jiang. (2017) Exploring the combination rules of D numbers from a perspective of conflict redistribution. Exploring the combination rules of D numbers from a perspective of conflict redistribution.
Xi Chen, Jing Li, Yunfei Zhang, Weiguo Jiang, Liangliang Tao & Wei Shen. (2017) Evidential Fusion Based Technique for Detecting Landslide Barrier Lakes From Cloud-Covered Remote Sensing Images. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing 10:5, pages 1742-1757.
Crossref
Alexander Lepskiy. 2017. Soft Methods for Data Science. Soft Methods for Data Science 311 318 .
Glenn Shafer. (2016) A Mathematical Theory of Evidence turns 40. International Journal of Approximate Reasoning 79, pages 7-25.
Crossref
Van-Doan Nguyen & Van-Nam Huynh. (2016) On Information Fusion in Recommender Systems Based on Dempster-Shafer Theory. On Information Fusion in Recommender Systems Based on Dempster-Shafer Theory.
Didier Dubois, Weiru Liu, Jianbing Ma & Henri Prade. (2016) The basic principles of uncertain information fusion. An organised review of merging rules in different representation frameworks. Information Fusion 32, pages 12-39.
Crossref
Uwe Mönks, Helene Dörksen, Volker Lohweg & Michael Hübner. (2016) Information Fusion of Conflicting Input Data. Sensors 16:11, pages 1798.
Crossref
Xinyang Deng, Deqiang Han, Jean Dezert, Yong Deng & Yu Shyr. (2016) Evidence Combination From an Evolutionary Game Theory Perspective. IEEE Transactions on Cybernetics 46:9, pages 2070-2082.
Crossref
Wen Ju, JiaoLong Liu & SongZhi Jin. (2016) An improved clustering based on edge detection method. An improved clustering based on edge detection method.
Kok Chin Chai, Kai Meng Tay & Chee Peng Lim. (2016) A new method to rank fuzzy numbers using Dempster–Shafer theory with fuzzy targets. Information Sciences 346-347, pages 302-317.
Crossref
Ludmila Dymova, Pavel Sevastjanov & Krzysztof Kaczmarek. (2016) A Forex trading expert system based on a new approach to the rule-base evidential reasoning. Expert Systems with Applications 51, pages 1-13.
Crossref
Amel Ennaceur, Zied Elouedi & Eric Lefevre. (2016) Belief AHP Method — AHP Method with the Belief Function Framework. International Journal of Information Technology & Decision Making 15:03, pages 553-573.
Crossref
Xinyang Deng, Qi Liu, Yong Deng & Sankaran Mahadevan. (2016) An improved method to construct basic probability assignment based on the confusion matrix for classification problem. Information Sciences 340-341, pages 250-261.
Crossref
Fr?d?ric Pichon, David Mercier, ?ric Lef?vre & Fran?ois Delmotte. (2016) Proposition and learning of some belief function contextual correction mechanisms. International Journal of Approximate Reasoning 72, pages 4-42.
Crossref
Orakanya Kanjanatarakul, Thierry Denœux & Songsak Sriboonchitta. (2016) Prediction of future observations using belief functions: A likelihood-based approach. International Journal of Approximate Reasoning 72, pages 71-94.
Crossref
John Klein, Sebastien Destercke & Olivier Colot. (2016) Interpreting evidential distances by connecting them to partial orders: Application to belief function approximation. International Journal of Approximate Reasoning 71, pages 15-33.
Crossref
Georg Tanzmeister & Dirk Wollherr. (2016) Evidential Grid-Based Tracking and Mapping. IEEE Transactions on Intelligent Transportation Systems, pages 1-14.
Crossref
David Burke. 2016. Belief Functions: Theory and Applications. Belief Functions: Theory and Applications 37 45 .
Andrey G. Bronevich & Igor N. Rozenberg. 2016. Belief Functions: Theory and Applications. Belief Functions: Theory and Applications 137 145 .
Tian Jing. (2015) An evidence fusion method using generalized Mahalanobis distance in Dempster-Shafer Theory. An evidence fusion method using generalized Mahalanobis distance in Dempster-Shafer Theory.
Laurence Cholvy. (2015) Towards a logical belief function theory. Journal of Applied Logic 13:4, pages 441-457.
Crossref
Frederic Pichon, Sebastien Destercke & Thomas Burger. (2015) A Consistency-Specificity Trade-Off to Select Source Behavior in Information Fusion. IEEE Transactions on Cybernetics 45:4, pages 598-609.
Crossref
Jonathan Weisberg. (2015) Updating, Undermining, and Independence. The British Journal for the Philosophy of Science 66:1, pages 121-159.
Crossref
Enrique Miranda, Matthias C.M. Troffaes & Sébastien Destercke. (2015) A geometric and game-theoretic study of the conjunction of possibility measures. Information Sciences 298, pages 373-389.
Crossref
Andrew Bronevich, Alexander Lepskiy & Henry Penikas. (2015) The Application of Conflict Measure to Estimating Incoherence of Analyst's Forecasts about the Cost of Shares of Russian Companies. Procedia Computer Science 55, pages 1113-1122.
Crossref
Andrey Bronevich & Igor Rozenberg. (2015) The choice of generalized Dempster–Shafer rules for aggregating belief functions. International Journal of Approximate Reasoning 56, pages 122-136.
Crossref
David Mercier, Frédéric Pichon, Éric Lefèvre & François Delmotte. 2015. Symbolic and Quantitative Approaches to Reasoning with Uncertainty. Symbolic and Quantitative Approaches to Reasoning with Uncertainty 472 481 .
Pavel Sevastjanov, Ludmila Dymova & Krzysztof Kaczmarek. 2015. Artificial Intelligence and Soft Computing. Artificial Intelligence and Soft Computing 271 282 .
Jerry M. Mendel & Mohammad Reza Rajati. 2015. Towards the Future of Fuzzy Logic. Towards the Future of Fuzzy Logic 217 245 .
Orakanya Kanjanatarakul, Nachatchapong Kaewsompong, Songsak Sriboonchitta & Thierry Denœux. 2015. Econometrics of Risk. Econometrics of Risk 171 184 .
Xinyang Deng, Yong Deng & Felix T. S. Chan. (2014) An improved operator of combination with adapted conflict. Annals of Operations Research 223:1, pages 451-459.
Crossref
Imen Ouled Dlala, Dorra Attiaoui, Arnaud Martin & Boutheina Ben Yaghlane. (2014) Trolls Identification within an Uncertain Framework. Trolls Identification within an Uncertain Framework.
Thierry Denœux. (2014) Rejoinder on “Likelihood-based belief function: Justification and some extensions to low-quality data”. International Journal of Approximate Reasoning 55:7, pages 1614-1617.
Crossref
Serafín Moral. (2014) Comments on “Likelihood-based belief function: Justification and some extensions to low-quality data” by Thierry Denœux. International Journal of Approximate Reasoning 55:7, pages 1591-1593.
Crossref
Didier Dubois. (2014) On various ways of tackling incomplete information in statistics. International Journal of Approximate Reasoning 55:7, pages 1570-1574.
Crossref
Thierry Denœux. (2014) Likelihood-based belief function: Justification and some extensions to low-quality data. International Journal of Approximate Reasoning 55:7, pages 1535-1547.
Crossref
Orakanya Kanjanatarakul, Songsak Sriboonchitta & Thierry Denœux. (2014) Forecasting using belief functions: An application to marketing econometrics. International Journal of Approximate Reasoning 55:5, pages 1113-1128.
Crossref
. 2014. Introduction to Imprecise Probabilities. Introduction to Imprecise Probabilities 338 373 .
Galina L. Rogova. (2014) Adaptive real-time threat assessment under uncertainty and conflict. Adaptive real-time threat assessment under uncertainty and conflict.
Jihen Frikha Elleuch, Imen Khanfir Kallel & Dorra Sellami Masmoudi. (2014) A new ground segmentation method for obstacle detection using possibility theory. A new ground segmentation method for obstacle detection using possibility theory.
N. Ben Abdallah, N. Mouhous-Voyneau & T. Denœux. (2014) Combining statistical and expert evidence using belief functions: Application to centennial sea level estimation taking into account climate change. International Journal of Approximate Reasoning 55:1, pages 341-354.
Crossref
Yanyan He & M. Yousuff Hussaini. 2014. Belief Functions: Theory and Applications. Belief Functions: Theory and Applications 39 48 .
Alexander Lepskiy. 2014. Belief Functions: Theory and Applications. Belief Functions: Theory and Applications 29 38 .
Orakanya Kanjanatarakul, Philai Lertpongpiroon, Sombat Singkharat & Songsak Sriboonchitta. 2014. Belief Functions: Theory and Applications. Belief Functions: Theory and Applications 304 312 .
Andrey G. Bronevich & Igor N. Rozenberg. 2014. Belief Functions: Theory and Applications. Belief Functions: Theory and Applications 21 28 .
Frédéric Pichon, David Mercier, François Delmotte & Éric Lefèvre. 2014. Belief Functions: Theory and Applications. Belief Functions: Theory and Applications 11 20 .
François Delmotte, David Mercier & Frédéric Pichon. 2014. Information Processing and Management of Uncertainty in Knowledge-Based Systems. Information Processing and Management of Uncertainty in Knowledge-Based Systems 190 199 .
Didier Dubois, Henri Prade & Agnès Rico. 2014. Information Processing and Management of Uncertainty in Knowledge-Based Systems. Information Processing and Management of Uncertainty in Knowledge-Based Systems 216 225 .
Ludmila Dymova, Pavel Sevastjanov, Kamil Tkacz & Tatyana Cheherava. 2014. Artificial Intelligence and Soft Computing. Artificial Intelligence and Soft Computing 411 422 .
Abdelhak Imoussaten, Jacky Montmain & Gilles Mauris. (2014) A Multicriteria Decision Support System using a Possibility Representation for Managing Inconsistent Assessments of Experts Involved in Emergency Situations. International Journal of Intelligent Systems 29:1, pages 50-83.
Crossref
Eric Lefèvre & Zied Elouedi. (2013) How to preserve the conflict as an alarm in the combination of belief functions?. Decision Support Systems 56, pages 326-333.
Crossref
Xinde Li. (2013) The problem of entropy production in the classic rule of combination in the Dezert-Smarandache theory. The problem of entropy production in the classic rule of combination in the Dezert-Smarandache theory.
Shakhawat Chowdhury. (2012) Fusing probability density function into Dempster?Shafer theory of evidence for the evaluation of water treatment plant. Environmental Monitoring and Assessment 185:5, pages 3917-3929.
Crossref
S. Destercke & T. Burger. (2013) Toward an Axiomatic Definition of Conflict Between Belief Functions. IEEE Transactions on Cybernetics 43:2, pages 585-596.
Crossref
B. Sahu, N. Sahu, S. K. Sahu & P. Sahu. (2013) Identify Uncertainty of Cyber Crime and Cyber Laws. Identify Uncertainty of Cyber Crime and Cyber Laws.
N. Pankratova & N. Nedashkovskaya. (2013) Estimation of Sensitivity of the DS/AHP Method While Solving Foresight Problems with Incomplete Data. Intelligent Control and Automation 04:01, pages 80-86.
Crossref
S. Destercke, P. Buche & B. Charnomordic. (2013) Evaluating Data Reliability: An Evidential Answer with Application to a Web-Enabled Data Warehouse. IEEE Transactions on Knowledge and Data Engineering 25:1, pages 92-105.
Crossref
Didier Dubois, Weiru Liu, Jianbing Ma & Henri Prade. 2013. Modeling Decisions for Artificial Intelligence. Modeling Decisions for Artificial Intelligence 37 48 .
Frédéric Pichon, Sébastien Destercke & Thomas Burger. 2013. Symbolic and Quantitative Approaches to Reasoning with Uncertainty. Symbolic and Quantitative Approaches to Reasoning with Uncertainty 473 484 .
Thierry Denœux. 2013. Uncertainty Analysis in Econometrics with Applications. Uncertainty Analysis in Econometrics with Applications 33 48 .
Masahiro Inuiguchi. 2013. Rough Sets and Intelligent Systems - Professor Zdzisław Pawlak in Memoriam. Rough Sets and Intelligent Systems - Professor Zdzisław Pawlak in Memoriam 309 331 .
Inseok Park & Ramana V. Grandhi. (2012) Quantification of model-form and parametric uncertainty using evidence theory. Structural Safety 39, pages 44-51.
Crossref
Thierry Den?ux & Marie-H?l?ne Masson. (2011) Evidential reasoning in large partially ordered sets. Annals of Operations Research 195:1, pages 135-161.
Crossref
D. S?nchez, M. Delgado, M.A. Vila & J. Chamorro-Mart?nez. (2012) On a non-nested level-based representation of fuzziness. Fuzzy Sets and Systems 192, pages 159-175.
Crossref
David Mercier, ?ric Lef?vre & Fran?ois Delmotte. (2012) Belief functions contextual discounting and canonical decompositions. International Journal of Approximate Reasoning 53:2, pages 146-158.
Crossref
Fr?d?ric Pichon, Didier Dubois & Thierry Den?ux. (2012) Relevance and truthfulness in information correction and fusion. International Journal of Approximate Reasoning 53:2, pages 159-175.
Crossref
Masahiro Inuiguchi. 2012. Rough Sets and Knowledge Technology. Rough Sets and Knowledge Technology 430 439 .
Masahiro Inuiguchi. 2012. Advances on Computational Intelligence. Advances on Computational Intelligence 643 652 .
Frédéric Pichon. 2012. Belief Functions: Theory and Applications. Belief Functions: Theory and Applications 285 292 .
Hung T. Nguyen. 2012. Belief Functions: Theory and Applications. Belief Functions: Theory and Applications 1 19 .
Fahed Abdallah, Ghalia Nassreddine & Thierry Denoeux. (2011) A Multiple-Hypothesis Map-Matching Method Suitable for Weighted and Box-Shaped State Estimation for Localization. IEEE Transactions on Intelligent Transportation Systems 12:4, pages 1495-1510.
Crossref
Nadia Doremami, Ahmad Afshar & Ali Doust Mohammadi. (2011) A New Combination Rule for the Fuzzy Risk Assessment in Gas Pipelines. Advanced Materials Research 403-408, pages 810-816.
Crossref
Thomas Reineking. (2011) Particle filtering in the Dempster–Shafer theory. International Journal of Approximate Reasoning 52:8, pages 1124-1135.
Crossref
Didier Dubois, Weiru Liu, Jianbing Ma & Henri Prade. (2011) A principled discussion of information combination rules in different representation settings. A principled discussion of information combination rules in different representation settings.
S. Destercke & D. Dubois. (2011) Idempotent conjunctive combination of belief functions: Extending the minimum rule of possibility theory. Information Sciences 181:18, pages 3925-3945.
Crossref
JIANBING MA, WEIRU LIU, DIDIER DUBOIS & HENRI PRADE. (2012) BRIDGING JEFFREY'S RULE, AGM REVISION AND DEMPSTER CONDITIONING IN THE THEORY OF EVIDENCE. International Journal on Artificial Intelligence Tools 20:04, pages 691-720.
Crossref
Benjamin Quost, Marie-Hélène Masson & Thierry Denœux. (2011) Classifier fusion in the Dempster–Shafer framework using optimized t-norm based combination rules. International Journal of Approximate Reasoning 52:3, pages 353-374.
Crossref
Marco E.G.V. Cattaneo. (2011) Belief functions combination without the assumption of independence of the information sources. International Journal of Approximate Reasoning 52:3, pages 299-315.
Crossref
Edwin Vijay Kumar & S.K. Chaturvedi. (2011) Prioritization of maintenance tasks on industrial equipment for reliability. International Journal of Quality & Reliability Management 28:1, pages 109-126.
Crossref
Matthieu Chemin, Agnès Rico & Henri Prade. 2012. Eurofuse 2011. Eurofuse 2011 31 42 .
Henri Prade & Agnès Rico. 2011. Symbolic and Quantitative Approaches to Reasoning with Uncertainty. Symbolic and Quantitative Approaches to Reasoning with Uncertainty 713 724 .
Éric Lefèvre, Zied Elouedi & David Mercier. 2011. Symbolic and Quantitative Approaches to Reasoning with Uncertainty. Symbolic and Quantitative Approaches to Reasoning with Uncertainty 314 325 .
Henri Prade & Agnes Rico. (2010) Describing acceptable objects by means of Sugeno integrals. Describing acceptable objects by means of Sugeno integrals.
Ghalia Nassreddine, Fahed Abdallah & Thierry Denoux. (2010) State Estimation Using Interval Analysis and Belief-Function Theory: Application to Dynamic Vehicle Localization. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics) 40:5, pages 1205-1218.
Crossref
Jianbing Ma, Weiru Liu, Didier Dubois & Henri Prade. (2010) Revision Rules in the Theory of Evidence. Revision Rules in the Theory of Evidence.
Frédéric Pichon & Thierry Denœux. (2009) The Unnormalized Dempster’s Rule of Combination: A New Justification from the Least Commitment Principle and Some Extensions. Journal of Automated Reasoning 45:1, pages 61-87.
Crossref
Fabio Cuzzolin. (2010) The geometry of consonant belief functions: Simplicial complexes of necessity measures. Fuzzy Sets and Systems 161:10, pages 1459-1479.
Crossref
Thierry Den?ux, Zoulficar Younes & Fahed Abdallah. (2010) Representing uncertainty on set-valued variables using belief functions. Artificial Intelligence 174:7-8, pages 479-499.
Crossref
Bree R. Mathon, Metin M. Ozbek & George F. Pinder. (2009) Dempster–Shafer Theory Applied to Uncertainty Surrounding Permeability. Mathematical Geosciences 42:3, pages 293-307.
Crossref
Mahdi Khodabandeh & Alireza Mohammad-Shahri. (2010) Experimental study of uncertainty measures with sensor fusion techniques. Experimental study of uncertainty measures with sensor fusion techniques.
John Klein, Christ?le Lecomte & Pierre Mich?. (2010) Hierarchical and conditional combination of belief functions induced by visual tracking. International Journal of Approximate Reasoning 51:4, pages 410-428.
Crossref
Thierry Denœux & Marie-Hélène Masson. 2010. Integrated Uncertainty Management and Applications. Integrated Uncertainty Management and Applications 39 54 .
Hélène Soubaras. 2010. Foundations of Reasoning under Uncertainty. Foundations of Reasoning under Uncertainty 247 264 .
David Mercier, Thierry Denœux & Marie-Hélène Masson. 2010. Foundations of Reasoning under Uncertainty. Foundations of Reasoning under Uncertainty 203 222 .
SEBASTIEN DESTERCKE, DIDIER DUBOIS & ERIC CHOJNACKI. (2011) A CONSONANT APPROXIMATION OF THE PRODUCT OF INDEPENDENT CONSONANT RANDOM SETS. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 17:06, pages 773-792.
Crossref
Abdelaziz Kallel & Sylvie Le Hégarat-Mascle. (2009) Combination of partially non-distinct beliefs: The cautious-adaptive rule. International Journal of Approximate Reasoning 50:7, pages 1000-1021.
Crossref
Thierry Den?ux. (2009) Extending stochastic ordering to belief functions on the real line. Information Sciences 179:9, pages 1362-1376.
Crossref
Jean Dezert, Arnaud Martin & Florentin Smarandache. (2009) Comments on ?A new combination of evidence based on compromise? by K. Yamada. Fuzzy Sets and Systems 160:6, pages 853-855.
Crossref
Sébastien Destercke & Didier Dubois. 2009. Symbolic and Quantitative Approaches to Reasoning with Uncertainty. Symbolic and Quantitative Approaches to Reasoning with Uncertainty 299 310 .
Fabio Cuzzolin. 2009. Symbolic and Quantitative Approaches to Reasoning with Uncertainty. Symbolic and Quantitative Approaches to Reasoning with Uncertainty 275 286 .
Didier Dubois & Henri Prade. 2009. Decision‐making Process. Decision‐making Process 85 156 .
Qing Ye, Xiaoping Wu & Dingjun Zhai. (2008) An improved algorithm for Dempster-Shafer theory of evidence. An improved algorithm for Dempster-Shafer theory of evidence.
Astride Aregui & Thierry Denœux. (2008) Constructing consonant belief functions from sample data using confidence sets of pignistic probabilities. International Journal of Approximate Reasoning 49:3, pages 575-594.
Crossref
Xiaobin Xu & Chenglin Wen. (2008) Analysis of circuit tolerance based on random set theory. Journal of Electronics (China) 25:6, pages 852-859.
Crossref
Huabei Wu, Jizhou Sun & Guangquan Xu. (2008) On the Trust Decision in Virtual Society: Using the Least Point Principle in Dempster-Shafer Theory of Belief Functions. On the Trust Decision in Virtual Society: Using the Least Point Principle in Dempster-Shafer Theory of Belief Functions.
Li-Qiang Han, Hua Wang, Ji-Gang Gao & Shuang Zhang. (2008) Research of vision recognition on auto rack girders based on improved ART2 neural network and D-S evidence theory. Research of vision recognition on auto rack girders based on improved ART2 neural network and D-S evidence theory.
Xiaobin Xu & Chenglin Wen. (2008) A random set method of circuit tolerance analysis. A random set method of circuit tolerance analysis.
Wang hua, Wang Longshan, Wang hua, Gao Jingang & Zhang Shuang. (2008) Research of vision recognition of auto rack girders based on adaptive neural network and D-S evidence theory. Research of vision recognition of auto rack girders based on adaptive neural network and D-S evidence theory.
Hua Wang, Longshan Wang, Jingang Gao & Shuang Zhang. (2008) On-line Vision Recognition of Auto Rack Girders Based on ART2 Neural Network and D-S Evidence Theory. On-line Vision Recognition of Auto Rack Girders Based on ART2 Neural Network and D-S Evidence Theory.
Didier Dubois, Henri Prade & Philippe Smets. (2008) A definition of subjective possibility. International Journal of Approximate Reasoning 48:2, pages 352-364.
Crossref
A. Kallel, S. Le Hegarat-Mascle, L. Hubert-Moy & C. Ottle. (2008) Fusion of Vegetation Indices Using Continuous Belief Functions and Cautious-Adaptive Combination Rule. IEEE Transactions on Geoscience and Remote Sensing 46:5, pages 1499-1513.
Crossref
Frederic Pichon & Thierry Denoeux. (2008) T-norm and uninorm-based combination of belief functions. T-norm and uninorm-based combination of belief functions.
Vasilios Katos & Peter M. Bednar. (2008) A cyber-crime investigation framework. Computer Standards & Interfaces 30:4, pages 223-228.
Crossref
David Mercier, Benjamin Quost & Thierry Den?ux. (2008) Refined modeling of sensor reliability in the belief function framework using contextual discounting. Information Fusion 9:2, pages 246-258.
Crossref
Yann Lemeret, E. Lefevre & Daniel Jolly. (2008) Improvement of an association algorithm for obstacle tracking. Information Fusion 9:2, pages 234-245.
Crossref
Diego A. Alvarez. (2008) Nonspecificity for infinite random sets of indexable type. Fuzzy Sets and Systems 159:3, pages 289-306.
Crossref
Thierry Den?ux. (2008) Conjunctive and disjunctive combination of belief functions induced by nondistinct bodies of evidence. Artificial Intelligence 172:2-3, pages 234-264.
Crossref
Abdenour Bouakache, Radja Khedam, Aichouche Belhadj-Aissa & Grégoire Mercier. 2008. Advanced Concepts for Intelligent Vision Systems. Advanced Concepts for Intelligent Vision Systems 891 902 .

Displaying 200 of 310 citing articles. Use the download link below to view the full list of citing articles.

Download full citations list

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.