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Original Articles

POSSIBILITY THEORY III: POSSIBILISTIC INDEPENDENCE

Pages 353-371 | Received 29 Jan 1996, Published online: 30 Mar 2007

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Jose Enrique Pons, Nicolás Marín, Olga Pons, Christophe Billiet & Guy de Tré. (2012) A Relational Model for the Possibilistic Valid-time Approach. International Journal of Computational Intelligence Systems 5:6, pages 1068-1088.
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CLIFF JOSLYN. (1997) MEASUREMENT OF POSSIBILISTIC HISTOGRAMS FROM INTERVAL DATA. International Journal of General Systems 26:1-2, pages 9-33.
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Yu. P. Pyt’ev, A. I. Chulichkov, O. V. Falomkina & D. A. Balakin. (2024) Data Analysis and Interpretation: Methods of Computer-Aided Measuring Transducer Theory, Morphological Analysis, Possibility Theory, and Subjective Mathematical Modeling. Pattern Recognition and Image Analysis 33:4, pages 1515-1563.
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Giulianella Coletti, Davide Petturiti & Barbara Vantaggi. (2023) Consequences of the minimum specificity principle on conditioning and on independence in possibility theory. International Journal of Approximate Reasoning 160, pages 108972.
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Junjie Huang, Yi Fan & Fuyuan Xiao. (2023) On some bridges to complex evidence theory. Engineering Applications of Artificial Intelligence 117, pages 105605.
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Dominik Hose & Michael Hanss. (2021) A universal approach to imprecise probabilities in possibility theory. International Journal of Approximate Reasoning 133, pages 133-158.
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Dominik Hose & Michael Hanss. (2020) On data-based estimation of possibility distributions. Fuzzy Sets and Systems 399, pages 77-94.
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Dominik Hose & Michael Hanss. (2019) Possibilistic calculus as a conservative counterpart to probabilistic calculus. Mechanical Systems and Signal Processing 133, pages 106290.
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A.V. Zubyuk. (2019) A new approach to specificity in possibility theory: Decision-making point of view. Fuzzy Sets and Systems 364, pages 76-95.
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L. Truffet. (2018) Shannon Entropy Reinterpreted. Reports on Mathematical Physics 81:3, pages 303-319.
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Robin De Mol, Antoon Bronselaer & Guy De Tré. (2017) Evaluating flexible criteria on uncertain data. Fuzzy Sets and Systems 328, pages 122-140.
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Yu. P. Pyt’ev. (2017) Mathematical modeling of randomness and fuzziness phenomena in scientific studies. II. Applications. Moscow University Physics Bulletin 72:2, pages 113-127.
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Yu. P. Pyt’ev. (2017) Mathematical modeling of randomness and fuzziness phenomena in scientific studies: I. Mathematical and empirical foundations. Moscow University Physics Bulletin 72:1, pages 1-15.
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Shuming Wang & Yan-Kui Liu. (2015) Modeling renewal processes in fuzzy decision system. Applied Mathematical Modelling 39:5-6, pages 1536-1553.
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K. Scheerlinck, H. Vernieuwe, N.E.C. Verhoest & B. De Baets. (2014) Practical computing with interactive fuzzy variables. Applied Soft Computing 22, pages 518-527.
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Jiřina Vejnarová. (2013) On interpretation of T-product extensions of possibility distributions. Fuzzy Sets and Systems 232, pages 3-17.
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ANTOON BRONSELAER, JOSÉ ENRIQUE PONS, GUY DE TRÉ & OLGA PONS. (2013) POSSIBILISTIC EVALUATION OF SETS. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 21:03, pages 325-346.
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Giulianella Coletti, Davide Petturiti & Barbara Vantaggi. 2013. Symbolic and Quantitative Approaches to Reasoning with Uncertainty. Symbolic and Quantitative Approaches to Reasoning with Uncertainty 133 144 .
NICOLA PEDRONI & ENRICO ZIO. (2012) EMPIRICAL COMPARISON OF METHODS FOR THE HIERARCHICAL PROPAGATION OF HYBRID UNCERTAINTY IN RISK ASSESSMENT, IN PRESENCE OF DEPENDENCES. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 20:04, pages 509-557.
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Selen Cremaschi, Gene E. Kouba & Hariprasad J. Subramani. (2012) Characterization of Confidence in Multiphase Flow Predictions. Energy & Fuels 26:7, pages 4034-4045.
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Karolien Scheerlinck, Hilde Vernieuwe & Bernard De Baets. (2012) Zadeh’s Extension Principle for Continuous Functions of Non-Interactive Variables: A Parallel Optimization Approach. IEEE Transactions on Fuzzy Systems 20:1, pages 96-108.
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Salem Benferhat. (2010) Interventions and belief change in possibilistic graphical models. Artificial Intelligence 174:2, pages 177-189.
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Shuming Wang & Junzo Watada. (2009) Fuzzy random renewal reward process and its applications. Information Sciences 179:23, pages 4057-4069.
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Shuming Wang, Yan-Kui Liu & Junzo Watada. (2009) Fuzzy random renewal process with queueing applications. Computers & Mathematics with Applications 57:7, pages 1232-1248.
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Shu-Ming Wang & Junzo Watada. (2008) On laws of large numbers for L-R fuzzy variables. On laws of large numbers for L-R fuzzy variables.
Frank Klawonn & Rudolf Kruse. 2008. Preferences and Similarities. Preferences and Similarities 179 196 .
Salem Benferhat & Salma Smaoui. (2007) Hybrid possibilistic networks. International Journal of Approximate Reasoning 44:3, pages 224-243.
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Giulianella Coletti & Barbara Vantaggi. (2006) Possibility theory: Conditional independence. Fuzzy Sets and Systems 157:11, pages 1491-1513.
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Laura Ferracuti & Barbara Vantaggi. (2006) Independence and conditional possibility for strictly monotone triangular norms. International Journal of Intelligent Systems 21:3, pages 299-323.
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G. Coletti & B. Vantaggi. 2006. Modern Information Processing. Modern Information Processing 25 36 .
Gert de Cooman. (2005) A behavioural model for vague probability assessments. Fuzzy Sets and Systems 154:3, pages 305-358.
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NAHLA BEN AMOR & SALEM BENFERHAT. (2011) GRAPHOID PROPERTIES OF QUALITATIVE POSSIBILISTIC INDEPENDENCE RELATIONS. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 13:01, pages 59-96.
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Thomas Fetz. 2005. Analyzing Uncertainty in Civil Engineering. Analyzing Uncertainty in Civil Engineering 73 99 .
Radim Jiroušek, Jiřina Vejnarová & Jozef Gemeľa. 2002. Belief Functions in Business Decisions. Belief Functions in Business Decisions 252 280 .
George J. Klir. (2001) On the variety of imprecise probabilities. Kybernetes 30:9/10, pages 1072-1080.
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H.J. Janssen, G. de Cooman & E.E. Kerre. (2001) Ample fields as a basis for possibilistic processes. Fuzzy Sets and Systems 120:3, pages 445-458.
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Gert de Cooman, Guangquan Zhang & Etienne E. Kerre. (2001) Possibility measures and possibility integrals defined on a complete lattice. Fuzzy Sets and Systems 120:3, pages 459-467.
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G. de Cooman & D. Aeyels. (2000) A random set description of a possibility measure and its natural extension. IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans 30:2, pages 124-130.
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Hugo Janssen, Gert de Cooman & Etienne E. Kerre. (1999) A Daniell-Kolmogorov theorem for supremum preserving upper probabilities. Fuzzy Sets and Systems 102:3, pages 429-444.
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Gert De Cooman. 1999. Fuzzy Sets, Logics and Reasoning about Knowledge. Fuzzy Sets, Logics and Reasoning about Knowledge 315 323 .
Bernard De Baets, Gert de Cooman & Etienne Kerre. (1998) The construction of possibility measures from samples on %plane1D;4AF;-semi-partitions. Information Sciences 106:1-2, pages 3-24.
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