Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 22, Issue 6, Pages 1669-1681Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2014.2302495
Keywords
Intuitionistic fuzzy set; intuitionistic fuzzy preference relation (IFPR); intuitionistic fuzzy priority weights; multiplicative consistency; multicriteria decision making (MCDM)
Funding
- National Natural Science Foundation of China [61273209]
- Excellent Ph.D. Thesis Foundation of Shanghai Jiao Tong University [20131216]
- China Scholarship Council [201306230047]
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The intuitionistic fuzzy preference relation (IFPR), whose elements are intuitionistic fuzzy values (IFVs), is more powerful than the traditional multiplicative preference relation and the fuzzy preference relation in expressing comprehensive preference information of a decision maker. The aim of this paper is to investigate a new approach to derive the priority weights from an IFPR. To do so, we give a new definition of multiplicative consistent IFPR, which is based on the membership and nonmembership degrees of the intuitionistic fuzzy judgments. After that, a formula, which involves the underlying intuitionistic fuzzy weights of the IFPR, is proposed to construct such a multiplicative consistent IFPR. Based on the formula, some fractional programming models are built to generate the intuitionistic fuzzy priority weighting vector of the IFPR. Several numerical examples are given to illustrate the validity and applicability of the proposed method.
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