期刊
IEEE ACCESS
卷 8, 期 -, 页码 89106-89116出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/ACCESS.2020.2990067
关键词
Pythagorean fuzzy sets; Pythagorean fuzzy preference relation; multiplicative consistency; priority weighting vector
资金
- National Natural Science Foundation of China [71771001, 71701001, 71501002, 71871001, 71901001, 71901088]
- Outstanding Youth Foundation of Anhui Province [1908085J03]
- Research Funding Project of Academic and Technical Leaders and Reserve Candidates in Anhui Province [2018H179]
- Social Science Innovation and Development Research Project in Anhui Province [2019CX094]
The Pythagorean fuzzy set (PFS), introduced by Yager, is a generalization of the intuitionistic fuzzy set. The PFS is of great significance for the decision-making problem because it promotes the domain of intuitionistic fuzzy set. This paper aims to conduct the consistency analysis and priority weights for Pythagorean fuzzy preference relations (PFPRs). First, a consistency index to measure the multiplicative consistency of Pythagorean fuzzy preference relation (PFPR) is presented. Then, for the non-consistent PFPR, an iteration algorithm is put forward to adjust it to achieve acceptable consistency. Furthermore, an absolute deviation model is built to derive the priority weighting vector of PFPR. Finally, an illustrative example is provided to test and verify the effectiveness and applicability of the proposed method.
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