Some models for deriving the priority weights from interval fuzzy preference relations |
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Authors: | Zeshui Xu Jian Chen |
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Institution: | Department of Management, Science and Engineering, School of Economics and Management, Tsinghua University, Beijing 100084, China |
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Abstract: | Interval fuzzy preference relation is a useful tool to express decision maker’s uncertain preference information. How to derive the priority weights from an interval fuzzy preference relation is an interesting and important issue in decision making with interval fuzzy preference relation(s). In this paper, some new concepts such as additive consistent interval fuzzy preference relation, multiplicative consistent interval fuzzy preference relation, etc., are defined. Some simple and practical linear programming models for deriving the priority weights from various interval fuzzy preference relations are established, and two numerical examples are provided to illustrate the developed models. |
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Keywords: | Interval fuzzy preference relation Priority weight Multiplicative transitivity Additive transitivity |
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