Abstract
A reciprocal fuzzy matrix (relation) is a non-negative matrix Q={ q ij } such that q ij + q ji =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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