Arrow theorems in the fuzzy setting
Publish place: Iranian Journal of Fuzzy Systems، Vol: 17، Issue: 5
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJFS-17-5_005
تاریخ نمایه سازی: 30 خرداد 1400
Abstract:
Throughout this paper, our main idea is to analyze the Arrovian approach in a fuzzy context, paying attention to different extensions of the classical Arrow's model arising in mathematical Social Choice to aggregate preferences that the agents define on a set of alternatives. There is a wide set of extensions. Some of them give rise to an impossibility theorem as in the Arrovian classical model. But others lead to possibility results. We explore the main grounds that lead to impossibility or possibility. In this analysis, representative examples arise. One of them corresponds to an impossibility result, and the other ones allow the aggregation of fuzzy individual preferences to an individual one. We introduce new techniques for the proofs, specially for the one that leads to impossibility.
Keywords:
Mathematical social choice , fuzzy preferences , fusion of individual preferences , social aggregation rules , arrovian models in the fuzzy setting
Authors
A. Raventos-Pujol
Inarbe (Institute for Advanced Research in Business and Economics) and Departamento de Estadstica, Informaticay Matematicas. Universidad Publica de Navarra. ۳۱۰۰۶ Pamplona, Spain.
M. J. Campion
Inarbe (Institute for Advanced Research in Business and Economics) and Departamento de Estadstica, Informaticay Matematicas. Universidad Publica de Navarra. ۳۱۰۰۶ Pamplona, Spain.
E. Indurain
InaMat (Institute for Advanced Materials) and Departamento de Estadstica, Informatica y Matematicas. Universidad Publica de Navarra. ۳۱۰۰۶ Pamplona, Spain.