Goal programming approaches to deriving interval fuzzy preference relations
نویسندگان
چکیده
8 This article investigates the consistency of interval fuzzy preference relations based on interval 9 arithmetic, and new definitions are introduced for additive consistent, multiplicative consistent 10 and weakly transitive interval fuzzy preference relations. Transformation functions are put 11 forward to convert normalized interval weights into consistent interval fuzzy preference relations. By analyzing the relationship between interval weights and consistent interval fuzzy preference 13 relations, goal-programming-based models are developed for deriving interval weights from 14 interval fuzzy preference relations for both individual and group decision-making situations. The 15 proposed models are illustrated by a numerical example and an international exchange doctoral 16 student selection problem.
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