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General transitivity conditions for fuzzy reciprocal preference matrices

by Z Switalski
Fuzzy Sets and Systems ()


A reciprocal fuzzy matrix (relation) is a non-negative matrix Q = qij such that qij + qji = 1 for all i; j1; 2;:::;n. We dene general transitivity conditions (named FG-transitivities) for fuzzy reciprocal pref- erence relations and show that they generalize some well-known transitivities. We also study relationships of these conditions with two models ofrational preferences (the so-called utility model and the multidimen- sional model).

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