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This paper investigates the inconsistency problems of preference information about alternatives expressed as a fuzzy preference relation by a decision maker. An analysis method is presented to identify the inconsistency and weak transitivity of a fuzzy preference relation and to repair its inconsistency to reach weak transitivity. First, several definitions are given on additive consistency, inconsistency...
This paper investigates the multiple attribute decision making (MADM) problem with preference information on alternatives. A new approach is proposed to solve the MADM problem, where the decision maker gives his/her preference on alternatives in a fuzzy relation. To reflect the decision maker's preference information, an optimization model is constructed to assess the attribute weights and then to...
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