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József Temesi, Zsombor Szádoczki & Sándor Bozóki. (2024) Incomplete pairwise comparison matrices: Ranking top women tennis players. Journal of the Operational Research Society 75:1, pages 145-157.
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Jiří Mazurek & Pedro Linares. (2023) Some notes on non-reciprocal matrices in the multiplicative pairwise comparisons framework. Journal of the Operational Research Society 0:0, pages 1-12.
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Xiayu Tong & Zhou-Jing Wang. (2023) New additive-consistency-driven methods for deriving two types of normalized utility vectors from additive reciprocal preference relations. Journal of the Operational Research Society 74:6, pages 1475-1494.
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Jiancheng Tu, Zhibin Wu & Jiuping Xu. (2023) Geometric consistency index for interval pairwise comparison matrices. Journal of the Operational Research Society 74:5, pages 1229-1241.
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Zhou-Jing Wang, Feng-Qin Liu, Sun-Tao Qin & Xiao-Tong Jin. (2022) New additive consistency framework and utility derivation for interval fuzzy reciprocal preference relations. Journal of the Operational Research Society 73:11, pages 2572-2590.
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Zhou-Jing Wang & Ye-Kui Wu. (2022) Minimum adjustment cost-based multi-stage goal programming models for consistency improving and consensus building with multiplicative reciprocal paired comparison matrices. Journal of the Operational Research Society 73:10, pages 2151-2167.
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Konrad Kułakowski & Dawid Talaga. (2020) Inconsistency indices for incomplete pairwise comparisons matrices. International Journal of General Systems 49:2, pages 174-200.
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Bice Cavallo. (2020) Functional relations and Spearman correlation between consistency indices. Journal of the Operational Research Society 71:2, pages 301-311.
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Bice Cavallo, Alessio Ishizaka, Maria Grazia Olivieri & Massimo Squillante. (2019) Comparing inconsistency of pairwise comparison matrices depending on entries. Journal of the Operational Research Society 70:5, pages 842-850.
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Nadezhda I. Nedashkovskaya. (2018) Investigation of methods for improving consistency of a pairwise comparison matrix. Journal of the Operational Research Society 69:12, pages 1947-1956.
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Matteo Brunelli. (2018) A survey of inconsistency indices for pairwise comparisons. International Journal of General Systems 47:8, pages 751-771.
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Michele Fedrizzi & Fabio Ferrari. (2018) A chi-square-based inconsistency index for pairwise comparison matrices. Journal of the Operational Research Society 69:7, pages 1125-1134.
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Kristóf Ábele-Nagy, Sándor Bozóki & Örs Rebák. (2018) Efficiency analysis of double perturbed pairwise comparison matrices. Journal of the Operational Research Society 69:5, pages 707-713.
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Ali Emrouznejad & Marianna Marra. (2017) The state of the art development of AHP (1979–2017): a literature review with a social network analysis. International Journal of Production Research 55:22, pages 6653-6675.
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Articles from other publishers (96)
Yao Li, Meiqian Chen, Cong-Cong Li, Yucheng Dong & Francisco Herrera. (2024) Measuring Additive Consistency of Linguistic Preference Relations in a Personalized-Individual-Semantics Context: A Systematic Investigation With Axiomatic Design. IEEE Transactions on Systems, Man, and Cybernetics: Systems 54:4, pages 2613-2624.
Crossref
Crossref
Ziqian Luo, Fang Liu, Qirui You & Witold Pedrycz. (2024) A two-objective-optimization-driven group decision making model under the bipolarity of decision information. Applied Soft Computing 155, pages 111439.
Crossref
Crossref
Yixin Wang, Ligang Zhou, Hao Li & Xianchao Dai. (2024) Probabilistic consistency of stochastic multiplicative comparison matrices based on Monte Carlo simulation. Information Sciences 656, pages 119896.
Crossref
Crossref
Matteo Brunelli & Michele Fedrizzi. (2024) Inconsistency indices for pairwise comparisons and the Pareto dominance principle. European Journal of Operational Research 312:1, pages 273-282.
Crossref
Crossref
Luca Faramondi, Gabriele Oliva, Roberto Setola & Sándor Bozóki. (2023) Evaluating the effects of uncertainty in interval pairwise comparison matrices. International Journal of Approximate Reasoning 163, pages 109034.
Crossref
Crossref
Zhou-Jing Wang. (2023) New Tanino's Additive Consistency Trapezoidal Fuzzy Extension and Optimal Fuzzy Priority Vector Acquisition. IEEE Transactions on Fuzzy Systems 31:10, pages 3371-3383.
Crossref
Crossref
Pawel Tadeusz Kazibudzki. (2023) The uncertainty related to the inexactitude of prioritization based on consistent pairwise comparisons. PLOS ONE 18:9, pages e0290751.
Crossref
Crossref
Yejun Xu, Qianqian Wang, Francisco Chiclana & Enrique Herrera-Viedma. (2023) A Local Adjustment Method to Improve Multiplicative Consistency of Fuzzy Reciprocal Preference Relations. IEEE Transactions on Systems, Man, and Cybernetics: Systems 53:9, pages 5702-5714.
Crossref
Crossref
Zhou-Jing Wang & Shengchun Deng. (2023) Comments on “An uncertainty-induced axiomatic foundation of the analytic hierarchy process and its implication”. Expert Systems with Applications 224, pages 119914.
Crossref
Crossref
Zhou-Jing Wang. (2023) Saaty’s consistency trapezoidal fuzzy extension and optimized fuzzy utility vector acquisition. Information Sciences 633, pages 549-572.
Crossref
Crossref
Yuji Sato & Kim Hua Tan. (2022) Inconsistency indices in pairwise comparisons: an improvement of the Consistency Index. Annals of Operations Research 326:2, pages 809-830.
Crossref
Crossref
Shuping Wan, Xianjuan Cheng & Jiuying Dong. (2023) Group decision-making with interval multiplicative preference relations. Knowledge and Information Systems 65:5, pages 2305-2346.
Crossref
Crossref
Chen Yang & Zhu Qian. (2022) Street network or functional attractors? Capturing pedestrian movement patterns and urban form with the integration of space syntax and MCDA. URBAN DESIGN International 28:1, pages 3-18.
Crossref
Crossref
Silvia Bortot, Matteo Brunelli, Michele Fedrizzi & Ricardo Alberto Marques Pereira. (2023) A novel perspective on the inconsistency indices of reciprocal relations and pairwise comparison matrices. Fuzzy Sets and Systems 454, pages 74-99.
Crossref
Crossref
Hailemariam Abebe Tekile, Matteo Brunelli & Michele Fedrizzi. (2023) A numerical comparative study of completion methods for pairwise comparison matrices. Operations Research Perspectives 10, pages 100272.
Crossref
Crossref
Luca Faramondi, Gabriele Oliva, Roberto Setola & Sándor Bozóki. (2023) Robustness to rank reversal in pairwise comparison matrices based on uncertainty bounds. European Journal of Operational Research 304:2, pages 676-688.
Crossref
Crossref
Jiri MazurekJiri Mazurek. 2023. Advances in Pairwise Comparisons. Advances in Pairwise Comparisons
73
94
.
Jiri MazurekJiri Mazurek. 2023. Advances in Pairwise Comparisons. Advances in Pairwise Comparisons
21
47
.
Jiri MazurekJiri Mazurek. 2023. Advances in Pairwise Comparisons. Advances in Pairwise Comparisons
1
6
.
Yuan Gao, Yao Li, Zhineng Hu & Cong-Cong Li. (2022) Consistency improvement under a personalized individual semantics context in distributed linguistic group decision making. Information Fusion 88, pages 319-331.
Crossref
Crossref
Fang Liu, Tong Liu & Yuan-Kai Hu. (2022) Reaching consensus in group decision making with non-reciprocal pairwise comparison matrices. Applied Intelligence.
Crossref
Crossref
Changsheng Lin, Gang Kou, Yi Peng & Mohammed A. Hefni. (2022) DYNAMIC THRESHOLDS OF GEOMETRIC CONSISTENCY INDEX ASSOCIATED WITH PAIRWISE COMPARISON MATRIX. Technological and Economic Development of Economy 28:4, pages 1137-1157.
Crossref
Crossref
Sangeeta Pant, Anuj Kumar, Mangey Ram, Yury Klochkov & Hitesh Kumar Sharma. (2022) Consistency Indices in Analytic Hierarchy Process: A Review. Mathematics 10:8, pages 1206.
Crossref
Crossref
Miguel Afonso Sellitto, Domingos Rafael Ferla Valladares, Erica Pastore & Arianna Alfieri. (2021) Comparing Competitive Priorities of Slow Fashion and Fast Fashion Operations of Large Retailers in an Emerging Economy. Global Journal of Flexible Systems Management 23:1, pages 1-19.
Crossref
Crossref
Jiří Mazurek. (2022) New preference violation indices for the condition of order preservation. RAIRO - Operations Research 56:1, pages 367-380.
Crossref
Crossref
Giuseppina Barbieri, Antonio Boccuto & Gaetano Vitale. (2021) Algebraic structures for pairwise comparison matrices: Consistency, social choices and Arrow’s theorem. Mathematica Slovaca 71:5, pages 1047-1062.
Crossref
Crossref
Xianjuan Cheng, Shuping Wan, Jiuying Dong & Luis Martínez. (2021) New decision-making methods with interval reciprocal preference relations: A new admissible order relation of intervals. Information Sciences 569, pages 400-429.
Crossref
Crossref
Zhou-Jing Wang. (2021) A Novel Triangular Fuzzy Analytic Hierarchy Process. IEEE Transactions on Fuzzy Systems 29:7, pages 2032-2046.
Crossref
Crossref
László Csató & Dóra Gréta Petróczy. (2021) On the monotonicity of the eigenvector method. European Journal of Operational Research 292:1, pages 230-237.
Crossref
Crossref
Shuping Wan, Xianjuan Cheng, Changxiong Chen & Jiuying Dong. (2021) L-R geometric consistency definition of triangular multiplicative preference relation in group decision making. Fuzzy Sets and Systems 409, pages 85-113.
Crossref
Crossref
Xian-Juan Cheng, Shu-Ping Wan & Jiu-Ying Dong. (2021) A new consistency definition of interval multiplicative preference relation. Fuzzy Sets and Systems 409, pages 55-84.
Crossref
Crossref
Fang Liu, Caixia Huang & Tong Liu. (2020) Consistency-index-driven group decision making under the environment of triangular fuzzy numbers. Soft Computing 25:3, pages 2069-2083.
Crossref
Crossref
Jiri Mazurek, Radomir Perzina, Dominik Strzalka, Bartosz Kowal & Pawel Kuras. (2021) A Numerical Comparison of Iterative Algorithms for Inconsistency Reduction in Pairwise Comparisons. IEEE Access 9, pages 62553-62561.
Crossref
Crossref
Fang Liu, Qin Yu, Mao-Jie Huang & Dan A. Ralescu. (2020) An inconsistency index of interval additive reciprocal matrices with application to group decision making. Journal of Data, Information and Management 2:4, pages 201-213.
Crossref
Crossref
Michele Fedrizzi, Nino Civolani & Andrew Critch. (2020) Inconsistency evaluation in pairwise comparison using norm-based distances. Decisions in Economics and Finance 43:2, pages 657-672.
Crossref
Crossref
Andrzej Z. Grzybowski & Tomasz Starczewski. (2020) New look at the inconsistency analysis in the pairwise-comparisons-based prioritization problems. Expert Systems with Applications 159, pages 113549.
Crossref
Crossref
Zhou-Jing Wang. (2020) A Representable Uninorm-Based Intuitionistic Fuzzy Analytic Hierarchy Process. IEEE Transactions on Fuzzy Systems 28:10, pages 2555-2569.
Crossref
Crossref
Fuqi Liang, Matteo Brunelli & Jafar Rezaei. (2020) Consistency issues in the best worst method: Measurements and thresholds. Omega 96, pages 102175.
Crossref
Crossref
Zhou-Jing Wang, Xuan Yang & Xiao-Tong Jin. (2020) And-like-uninorm-based transitivity and analytic hierarchy process with interval-valued fuzzy preference relations. Information Sciences 539, pages 375-396.
Crossref
Crossref
Fang Liu, Jia-Wei Zhang & Shu-Cai Zou. (2020) A decision making model based on the leading principal submatrices of a reciprocal preference relation. Applied Soft Computing 94, pages 106448.
Crossref
Crossref
Fang Liu, Jiawei Zhang & Tong Liu. (2020) A PSO-algorithm-based consensus model with the application to large-scale group decision-making. Complex & Intelligent Systems 6:2, pages 287-298.
Crossref
Crossref
Juan Aguarón, María Teresa Escobar, José María Moreno-Jiménez & Alberto Turón. (2020) The Triads Geometric Consistency Index in AHP-Pairwise Comparison Matrices. Mathematics 8:6, pages 926.
Crossref
Crossref
Fang Liu, Shu-Cai Zou & Qing Li. (2020) Deriving priorities from pairwise comparison matrices with a novel consistency index. Applied Mathematics and Computation 374, pages 125059.
Crossref
Crossref
Jiri Mazurek, Radomir Perzina, Dominik Strzalka & Bartosz Kowal. (2020) A New Step-by-Step (SBS) Algorithm for Inconsistency Reduction in Pairwise Comparisons. IEEE Access 8, pages 135821-135828.
Crossref
Crossref
Matteo Brunelli & Bice Cavallo. (2020) Distance-based measures of incoherence for pairwise comparisons. Knowledge-Based Systems 187, pages 104808.
Crossref
Crossref
Pietro Amenta, Antonio Lucadamo & Gabriella Marcarelli. (2020) On the transitivity and consistency approximated thresholds of some consistency indices for pairwise comparison matrices. Information Sciences 507, pages 274-287.
Crossref
Crossref
Henrik C. Bylling, Salvador Pineda & Trine K. Boomsma. (2018) The impact of short-term variability and uncertainty on long-term power planning. Annals of Operations Research 284:1, pages 199-223.
Crossref
Crossref
Jaroslav RamíkJaroslav Ramík. 2020. Pairwise Comparisons Method. Pairwise Comparisons Method
17
65
.
Cong-Cong Li, Yucheng Dong, Yejun Xu, Francisco Chiclana, Enrique Herrera-Viedma & Francisco Herrera. (2019) An overview on managing additive consistency of reciprocal preference relations for consistency-driven decision making and fusion: Taxonomy and future directions. Information Fusion 52, pages 143-156.
Crossref
Crossref
Konrad Kułakowski, Jacek Szybowski & Anna Prusak. (2019) Towards quantification of incompleteness in the pairwise comparisons methods. International Journal of Approximate Reasoning 115, pages 221-234.
Crossref
Crossref
Zhou-Jing Wang. (2019) An axiomatic property based triangular fuzzy extension of Saaty’s consistency. Computers & Industrial Engineering 137, pages 106086.
Crossref
Crossref
Jiří Mazurek & Jaroslav Ramík. (2019) Some new properties of inconsistent pairwise comparisons matrices. International Journal of Approximate Reasoning 113, pages 119-132.
Crossref
Crossref
Jana Krejčí. (2017) On extension of multiplicative consistency to interval fuzzy preference relations. Operational Research 19:3, pages 783-815.
Crossref
Crossref
László Csató. (2019) Axiomatizations of inconsistency indices for triads. Annals of Operations Research 280:1-2, pages 99-110.
Crossref
Crossref
Zhou-Jing Wang, Jian Lin & Fang Liu. (2019) Axiomatic property based consistency analysis and decision making with interval multiplicative reciprocal preference relations. Information Sciences 491, pages 109-137.
Crossref
Crossref
László Csató. (2019) A characterization of the Logarithmic Least Squares Method. European Journal of Operational Research 276:1, pages 212-216.
Crossref
Crossref
Tomoe Entani. (2019) Fuzzy Approach for Group Assessment Based on the Consistency of Individual Judgments. Fuzzy Approach for Group Assessment Based on the Consistency of Individual Judgments.
Jean-Pierre Magnot. (2019) On mathematical structures on pairwise comparisons matrices with coefficients in an abstract group arising from quantum gravity. Heliyon 5:6, pages e01821.
Crossref
Crossref
József Temesi. (2018) An interactive approach to determine the elements of a pairwise comparison matrix. Central European Journal of Operations Research 27:2, pages 533-549.
Crossref
Crossref
Zhou-Jing Wang & Jian Lin. (2019) Consistency and optimized priority weight analytical solutions of interval multiplicative preference relations. Information Sciences 482, pages 105-122.
Crossref
Crossref
Matteo Brunelli & Michele Fedrizzi. (2018) A general formulation for some inconsistency indices of pairwise comparisons. Annals of Operations Research 274:1-2, pages 155-169.
Crossref
Crossref
Marcin Anholcer & János Fülöp. (2018) Deriving priorities from inconsistent PCM using network algorithms. Annals of Operations Research 274:1-2, pages 57-74.
Crossref
Crossref
Jacek Szybowski. (2019) Tournament indices of inconsistency. Procedia Computer Science 159, pages 913-922.
Crossref
Crossref
Tomoe Entani. 2019. Fuzzy Techniques: Theory and Applications. Fuzzy Techniques: Theory and Applications
61
72
.
Alessio Ishizaka. 2019. New Perspectives in Multiple Criteria Decision Making. New Perspectives in Multiple Criteria Decision Making
81
93
.
Bice Cavallo, Livia D’Apuzzo, Antonio Di Nola, Massimo Squillante & Gaetano Vitale. 2019. Models and Theories in Social Systems. Models and Theories in Social Systems
37
57
.
László Csató. (2018) Characterization of the Row Geometric Mean Ranking with a Group Consensus Axiom. Group Decision and Negotiation 27:6, pages 1011-1027.
Crossref
Crossref
Zhou-Jing Wang. (2018) A goal programming approach to deriving interval weights in analytic form from interval Fuzzy preference relations based on multiplicative consistency. Information Sciences 462, pages 160-181.
Crossref
Crossref
Tomoe Entani. (2018) A Fuzzy Weight Vector From a Group of Crisp Pairwise Comparison Matrices. A Fuzzy Weight Vector From a Group of Crisp Pairwise Comparison Matrices.
Purushottam D Dixit. (2018) Entropy production rate as a criterion for inconsistency in decision theory. Journal of Statistical Mechanics: Theory and Experiment 2018:5, pages 053408.
Crossref
Crossref
Fang Liu, Qin Yu, Witold Pedrycz & Wei-Guo Zhang. (2018) A group decision making model based on an inconsistency index of interval multiplicative reciprocal matrices. Knowledge-Based Systems 145, pages 67-76.
Crossref
Crossref
Fang Liu, Zu-Lin Liu & Yu-Hao Wu. (2018) A group decision making model based on triangular fuzzy additive reciprocal matrices with additive approximation-consistency. Applied Soft Computing 65, pages 349-359.
Crossref
Crossref
W.W. Koczkodaj & R. Urban. (2018) Axiomatization of inconsistency indicators for pairwise comparisons. International Journal of Approximate Reasoning 94, pages 18-29.
Crossref
Crossref
Zhou-Jing Wang. (2018) Comments on “A group decision-making model with interval multiplicative reciprocal matrices based on the geometric consistency index”. Computers & Industrial Engineering 117, pages 131-137.
Crossref
Crossref
Bice Cavallo & Matteo Brunelli. (2018) A general unified framework for interval pairwise comparison matrices. International Journal of Approximate Reasoning 93, pages 178-198.
Crossref
Crossref
László Csató. (2017) Characterization of an inconsistency ranking for pairwise comparison matrices. Annals of Operations Research 261:1-2, pages 155-165.
Crossref
Crossref
Jacek Szybowski. (2018) The improvement of data in pairwise comparison matrices. Procedia Computer Science 126, pages 1006-1013.
Crossref
Crossref
Bice Cavallo. (2017) Computing random consistency indices and assessing priority vectors reliability. Information Sciences 420, pages 532-542.
Crossref
Crossref
Andrzej Z. Grzybowski. (2017) On some recent advancements within the pairwise comparison methodology. On some recent advancements within the pairwise comparison methodology.
Fang Liu, Witold Pedrycz, Zhong-Xing Wang & Wei-Guo Zhang. (2017) An axiomatic approach to approximation-consistency of triangular fuzzy reciprocal preference relations. Fuzzy Sets and Systems 322, pages 1-18.
Crossref
Crossref
Jana Krejčí. (2017) On multiplicative consistency of interval and fuzzy reciprocal preference relations. Computers & Industrial Engineering 111, pages 67-78.
Crossref
Crossref
Gaurav Khatwani & Arpan Kumar Kar. (2017) Improving the Cosine Consistency Index for the analytic hierarchy process for solving multi-criteria decision making problems. Applied Computing and Informatics 13:2, pages 118-129.
Crossref
Crossref
Jana Krejčí. (2017) On additive consistency of interval fuzzy preference relations. Computers & Industrial Engineering 107, pages 128-140.
Crossref
Crossref
Bhaskara Raju Meesariganda & Alessio Ishizaka. (2017) Mapping verbal AHP scale to numerical scale for cloud computing strategy selection. Applied Soft Computing 53, pages 111-118.
Crossref
Crossref
Michele Lundy, Sajid Siraj & Salvatore Greco. (2017) The mathematical equivalence of the “spanning tree” and row geometric mean preference vectors and its implications for preference analysis. European Journal of Operational Research 257:1, pages 197-208.
Crossref
Crossref
Matteo Brunelli. (2016) Studying a set of properties of inconsistency indices for pairwise comparisons. Annals of Operations Research 248:1-2, pages 143-161.
Crossref
Crossref
Matteo Brunelli. (2016) On the conjoint estimation of inconsistency and intransitivity of pairwise comparisons. Operations Research Letters 44:5, pages 672-675.
Crossref
Crossref
Matteo Brunelli. (2016) A technical note on two inconsistency indices for preference relations: A case of functional relation. Information Sciences 357, pages 1-5.
Crossref
Crossref
Bice Cavallo & Livia D'Apuzzo. (2016) Ensuring reliability of the weighting vector: Weak consistent pairwise comparison matrices. Fuzzy Sets and Systems 296, pages 21-34.
Crossref
Crossref
Kevin W. Li, Zhou-Jing Wang & Xiayu Tong. (2016) Acceptability analysis and priority weight elicitation for interval multiplicative comparison matrices. European Journal of Operational Research 250:2, pages 628-638.
Crossref
Crossref
Jacek Szybowski. (2016) The Cycle Inconsistency Index in Pairwise Comparisons Matrices. Procedia Computer Science 96, pages 879-886.
Crossref
Crossref
Alessio Ishizaka, Sajid Siraj & Philippe Nemery. (2016) Which energy mix for the UK (United Kingdom)? An evolutive descriptive mapping with the integrated GAIA (graphical analysis for interactive aid)–AHP (analytic hierarchy process) visualization tool. Energy 95, pages 602-611.
Crossref
Crossref
Zhou-Jing Wang. (2015) A note on “A goal programming model for incomplete interval multiplicative preference relations and its application in group decision-making”. European Journal of Operational Research 247:3, pages 867-871.
Crossref
Crossref
Sándor Bozóki, János Fülöp & Attila Poesz. (2014) On reducing inconsistency of pairwise comparison matrices below an acceptance threshold. Central European Journal of Operations Research 23:4, pages 849-866.
Crossref
Crossref
Zhou-Jing Wang. (2015) Consistency analysis and priority derivation of triangular fuzzy preference relations based on modal value and geometric mean. Information Sciences 314, pages 169-183.
Crossref
Crossref
Konrad Kułakowski, Katarzyna Grobler-Dębska & Jarosław Wąs. (2014) Heuristic rating estimation: geometric approach. Journal of Global Optimization 62:3, pages 529-543.
Crossref
Crossref