期刊
JOURNAL OF INTELLIGENT SYSTEMS
卷 29, 期 1, 页码 154-171出版社
WALTER DE GRUYTER GMBH
DOI: 10.1515/jisys-2017-0231
关键词
Pythagorean hesitant fuzzy set; PHFWA operator; PHFWG operator; PHFOWA operator; PHFOWG operator; group decision making
In this paper, we introduce the concept of the Pythagorean hesitant fuzzy set (PHFS), which is the generalization of the intuitionistic hesitant fuzzy set under the restriction that the square sum of its membership degrees is <= 1. In decision making with PHFSs, aggregation operators play a key role because they can be used to synthesize multidimensional evaluation values represented as Pythagorean hesitant fuzzy values into collective values. Under PlIFS environments, Pythagorean hesitant fuzzy ordered weighted averaging and Pythagorean fuzzy ordered weighted geometric operators are used to aggregate the Pythagorean hesitant fuzzy values. The main advantage of these operators is that they provide more accurate and valuable results. Furthermore, these operators are applied to decision-making problems in which experts provide their preferences in the Pythagorean hesitant fuzzy environment to show the validity, practicality, and effectiveness of the new approach. Finally, we compare the proposed approach to the existing methods.
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