Preference relation on fuzzy utilities based on fuzzy leftness relation on intervals

doi:10.1016/S0165-0114(96)00350-8

Fuzzy Sets and Systems

Volume 97, Issue 2, 16 July 1998, Pages 183-191

https://doi.org/10.1016/S0165-0114(96)00350-8 Get rights and content

Abstract

We define a new preference relation μ_P(x,y) between two fuzzy numbers or utilities x and y, based on the fuzzy leftness relationship between intervals. A key property of μ_P(x,y) is that it satisfies the well-known min-transitivity property: μ_P(x,z) ⩾ min{(μ_P(x,y), μ_P(y,z)}; the previous definitions of preference relation on fuzzy utilities satisfy only certain weaker forms of transitivity.

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S. Kundu
Min-transitivity of fuzzy leftness relationship and its application to decision making
Fuzzy Sets and Systems
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