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General transitivity conditions for fuzzy reciprocal preference matrices

✍ Scribed by Zbigniew Świtalski

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
282 KB
Volume
137
Category
Article
ISSN
0165-0114

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✦ Synopsis

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 deÿne 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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