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FUZZY ARROW'S THEOREM
MORDESON, JOHN N.; CLARK, TERRY D. - In: New Mathematics and Natural Computation (NMNC) 05 (2009) 02, pp. 371-383
In this paper, we prove a fuzzy version of Arrow's Theorem that contains the crisp version. We show that under our definitions, Arrow's Theorem remains intact even if levels of intensities of the players and levels of membership in the set of alternatives are considered.
Persistent link: https://www.econbiz.de/10004980435
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Chapter Twenty - Social Choice with Fuzzy Preferences
Richard, Barrett; Maurice, Salles - In: Handbook of Social Choice and Welfare
Fuzzy set theory has been explicitly introduced to deal with vagueness and ambiguity. One can also use probability theory or techniques borrowed from philosophical logic. In this chapter, we consider fuzzy preferences and we survey the literature on aggregation of fuzzy preferences. We restrict...
Persistent link: https://www.econbiz.de/10009318731
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Towards a formalisation of the linguistic conditional preference networks
Truck, I.; Malenfant, J. - In: International Journal of Applied Management Science 4 (2012) 4, pp. 349-370
In recent works, we have proposed a graphical model to represent linguistic preferences called LCP-nets. LCP-nets have been implemented and used in a specific use case of industrial engineering. In this paper, we consolidate this contribution in formalising it through a set of notations and...
Persistent link: https://www.econbiz.de/10010669462
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FUZZY BLACK'S MEDIAN VOTER THEOREM: EXAMINING THE STRUCTURE OF FUZZY RULES AND STRICT PREFERENCE
GIBILISCO, MICHAEL B.; MORDESON, JOHN N.; CLARK, TERRY D. - In: New Mathematics and Natural Computation (NMNC) 08 (2012) 02, pp. 195-217
Under certain aggregation rules, particular subsets of the voting population fully characterize the social preference relation, and the preferences of the remaining voters become irrelevant. In the traditional literature, these types of rules, i.e. voting and simple rules, have received...
Persistent link: https://www.econbiz.de/10010552453
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FUZZY VOTERS, CRISP VOTES
CÔRTE-REAL, PAULO P. - In: International Game Theory Review (IGTR) 09 (2007) 01, pp. 67-86
In a binary choice voting scenario, voters may have fuzzy preferences but are required to make crisp choices. In order to compare a crisp voting procedure with more general mechanisms of fuzzy preference aggregation, we first focus on the latter. We present a formulation of strategy-proofness in...
Persistent link: https://www.econbiz.de/10005047565
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Quasi-Transitive and Suzumura Consistent Relations
BOSSERT, Walter; SUZUMURA, Kotaro - Centre Interuniversitaire de Recherche en Économie … - 2009
We examine properties of binary relations that complement quasi-transitivity and Suzumura consistency in the sense that … they, together with the original axiom(s), are equivalent to transitivity. In general, the conjunction of quasi-transitivity … and Suzumura consistency is strictly weaker than transitivity but in the case of collective choice rules that satisfy …
Persistent link: https://www.econbiz.de/10008617026
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On the Likelihood of Cyclic Comparisons
Segal, Uzi; Rubinstein, Ariel - Department of Economics, Boston College - 2011
We investigate the procedure of "random sampling" where the alternatives are random variables. When comparing any two alternatives, the decision maker samples each of the alternatives once and ranks them according to the comparison between the two realizations. Our main result is that when...
Persistent link: https://www.econbiz.de/10009001852
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Coincidence of Agreement between Probabilistic and Algebraic Choosers
Gehrlein, William - In: Quality & Quantity: International Journal of Methodology 41 (2007) 3, pp. 461-487
Persistent link: https://www.econbiz.de/10009396863
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Testing transitivity in choice under risk
Birnbaum, Michael; Schmidt, Ulrich - In: Theory and Decision 69 (2010) 4, pp. 599-614
Persistent link: https://www.econbiz.de/10008673733
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Quasi-transitive and Suzumura consistent relations
BOSSERT, Walter; SUZUMURA, Kotaro - Département de Sciences Économiques, Université de … - 2009
We examine properties of binary relations that complement quasi-transitivity and Suzumura consistency in the sense that … they, together with the original axiom(s), are equivalent to transitivity. In general, the conjunction of quasi-transitivity … and Suzumura consistency is strictly weaker than transitivity but in the case of collective choice rules that satisfy …
Persistent link: https://www.econbiz.de/10008679127