Arrow theorems in the fuzzy setting

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Raventos Pujol A.; Campion M. J.; Indurain E.

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Journal: Iranian Journal of Fuzzy Systems Year:2020 | Volume:17 | Issue:5 Page(s): 29-41

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Information Journal Paper

Title

Arrow theorems in the fuzzy setting

Author(s)

Raventos Pujol A. | Campion M. J. | Indurain E. | Issue Writer Certificate

Keywords

Mathematical social choiceQ2

fuzzy preferencesQ2

fusion of individual preferencesQ2

social aggregation rulesQ2

arrovian models in the fuzzy settingQ2

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.

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APA: Copy

Raventos Pujol, A., Campion, M. J., & Indurain, E.. (2020). Arrow theorems in the fuzzy setting. IRANIAN JOURNAL OF FUZZY SYSTEMS, 17(5 ), 29-41. SID. https://sid.ir/paper/397162/en

Vancouver: Copy

Raventos Pujol A., Campion M. J., Indurain E.. Arrow theorems in the fuzzy setting. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2020;17(5 ):29-41. Available from: https://sid.ir/paper/397162/en

IEEE: Copy

A. Raventos Pujol, M. J. Campion, and E. Indurain, “Arrow theorems in the fuzzy setting,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 17, no. 5 , pp. 29–41, 2020, [Online]. Available: https://sid.ir/paper/397162/en

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