Pythagorean Fuzzy Entropy and Its Application in Multiple-Criteria Decision-Making

被引：33
|
作者：
Xu, Ting-Ting [1 ]
Zhang, Hui [1 ]
Li, Bo-Quan [1 ]
机构：
[1] Anhui Normal Univ, Sch Math & Stat, Wuhu 241003, Anhui, Peoples R China
来源：
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS | 2020年 / 22卷 / 05期
关键词：
Pythagorean fuzzy set; Fuzzy entropy; Overall entropy; DEFINITION; WEIGHTS; SETS;
D O I：
10.1007/s40815-020-00877-y
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a Pythagorean fuzzy decision-making method based on overall entropy is presented. First, a new definition is proposed for fuzzy entropy for any given Pythagorean fuzzy set (PFS). The proposed definition is based on the relationship between the fuzziness contained in the given PFS and the distance from a point to a line on a projection plane. Some related properties are introduced. Second, the overall entropy of the PFS is determined based on fuzzy entropy and the degree of hesitancy; proofs are presented to formalize some related properties. Third, an entropy weight formula is provided that is based on overall entropy, and a Pythagorean fuzzy decision-making method is developed on this basis. Finally, the effectiveness and practicability of the proposed methods are illustrated by an example and three comparative analyses.
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页码：1552 / 1564
页数：13
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