General transitivity conditions for fuzzy reciprocal preference matrices

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Abstract

A reciprocal fuzzy matrix (relation) is a non-negative matrix Q={qij} such that qij+qji=1 for all i,j∈{1,2,…,n}. We define general transitivity conditions (named FG-transitivities) for fuzzy reciprocal preference relations and show that they generalize some well-known transitivities. We also study relationships of these conditions with two models of rational preferences (the so-called “utility” model and the ”multidimensional” model).

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    Financially supported by Polish Committee on Scientific Research (KBN)—grant 1 H02B 025 17.

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