Journal
INFORMATION SCIENCES
Volume 193, Issue -, Pages 180-198Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2012.01.019
Keywords
Interval fuzzy preference relation; Additive transitivity; Multiplicative transitivity; Goal programming; Interval weight
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Funding
- Natural Science Foundation of Fujian Province of China [2010J01362]
- Natural Sciences and Engineering Research Council of Canada (NSERC)
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This article investigates the consistency of interval fuzzy preference relations based on interval arithmetic, and new definitions are introduced for additive consistent, multiplicative consistent and weakly transitive interval fuzzy preference relations. Transformation functions are put forward to convert normalized interval weights into consistent interval fuzzy preference relations. By analyzing the relationship between interval weights and consistent interval fuzzy preference relations, goal-programming-based models are developed for deriving interval weights from interval fuzzy preference relations for both individual and group decision-making situations. The proposed models are illustrated by a numerical example and an international exchange doctoral student selection problem. (C) 2012 Elsevier Inc. All rights reserved.
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