An interactive fuzzy judgment aggregation model for consensus with partially undecided judges

Beg, Ismat and Syed, Ayesha (2016): An interactive fuzzy judgment aggregation model for consensus with partially undecided judges. Published in: Journal Fuzzy Mathematics , Vol. 26, No. 4 (18 December 2018): pp. 809-815.

Abstract

New requirements and challenges arise in judgment aggregation, due to the complexity of judgment making process and the necessity of dealing with huge amounts of vague and uncertain information and alternatives. In this paper we propose an interactive fuzzy judgment aggregation method for consensus to deal with the situation where judges are partially undecided.

• Item Type: MPRA Paper
• Language: English
• Keywords: Judgment aggregation; fuzzy; consensus decision
• Subjects: C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C61 - Optimization Techniques ; Programming Models ; Dynamic Analysis; D - Microeconomics > D7 - Analysis of Collective Decision-Making > D71 - Social Choice ; Clubs ; Committees ; Associations; D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D81 - Criteria for Decision-Making under Risk and Uncertainty

References

Arrow, K. J. (1963). Social Choice and Individual Values. Yale University Press

Beg, I., Ashraf, S. (2008). Fuzzy similarity and measure of similarity with Łukasiewicz implicator. New Mathematics and Natural Computation, 4(02):191-206.

Beg, I., Butt, N. (2012). Belief merging and judgment aggregation in fuzzy setting. Advances in Fuzzy System, 5.

Bellman, R.E., Zadeh, L.A. (1970). Decision making in a fuzzy environment, Management Sciences, 17, 141-164.

Benamara, F., Kaci, S., Pigozzi, G. (2010). Individual opinions-based judgment aggregation procedures. Modeling Decisions for Artificial Intelligence. Springer Berlin Heidelberg, 55-66.

Condorcet (M.J.A.N de Condorcet). (1785). Essa aur l’application de l’analyse a la probabilite des decisions rendues a la pluralite des viox (Imprimeric Royale, Paris); facsimile published in 1972 by Chalsea Publishing Company, New York.

Dietrich, F. (2007). Judgment aggregation in general logics. Social Choice and Welfare, 28(4): 529-565.

Dietrich, F. (2016). Judgment aggregation and agenda manipulation. Games and Economic Behavior, 95: 113-136.

Dokow, E., Holzman, R. (2010). Aggregation of binary evaluations, Journal of Economic Theory, 145: 495-511.

Fishburn, P. C., Rubinstein, A. (1986). Aggregation of equivalence relations. Journal of Classification, 3(1): 61-65.

Gärdenfors, P. (2006). A representation theorem for voting with logical consequences. Economics and Philosophy, 22 (2):181-190.

Kornhauser, L., Sager, L. (1986). Unpacking the court. Yale Law Journal, 96: 82-117.

List, C., Polak, B. (2010). Introduction to judgment aggregation. Journal of Economic Theory, 145:441–466.

Lagerspetz , E. (2016). Arrow’s Theorem. Social Choice and Democratic Values, 171-245.

Miller, M. (2008). Judgment aggregation and subjective decision-making. Economics and Philosophy, 24:205–231.

Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3): 338-353.