Multi-attribute decision making with Pythagorean fuzzy sets via conversions to intuitionistic fuzzy sets and ORESTE method

被引：14

作者：

Tao, Zhifu ^{[1
]}

Zhu, Jiaming ^{[2
]}

Zhou, Ligang ^{[3
,4
]}

Liu, Jinpei ^{[5
]}

Chen, Huayou ^{[3
]}

机构：

[1] Anhui Univ, Sch Econ, Hefei, Anhui, Peoples R China

[2] Anhui Univ, Sch Internet, Hefei 230601, Anhui, Peoples R China

[3] Anhui Univ, Sch Math Sci, Hefei, Anhui, Peoples R China

[4] Nanjing Univ Informat Sci & Technol, China Inst Mfg Dev, Nanjing, Jiangsu, Peoples R China

[5] Anhui Univ, Sch Business, Hefei, Anhui, Peoples R China

来源：

JOURNAL OF CONTROL AND DECISION | 2021年 / 8卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Pythagorean fuzzy sets; multi-attribute decision making; Atanassov's intuitionistic fuzzy sets; ORESTE; entropies; AGGREGATION OPERATORS; MEMBERSHIP GRADES; CRITERIA; ENTROPY; TOPSIS; INFORMATION; EXTENSION;

D O I：

10.1080/23307706.2020.1830445

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The aim of this paper is to study the conversions between Pythagorean fuzzy sets and Atanassov's intuitionistic fuzzy sets. Besides, an ORESTE method based on multi-attribute decision making with Pythagorean fuzzy sets is developed by utilising the developed conversions. In this paper, according to the geometric representations of Pythagorean fuzzy sets and Atanassov's intuitionistic fuzzy sets, two types of conversions between the two fuzzy sets are constructed, which are further used to derive information measures include entropy and cross-entropy measures of Pythagorean fuzzy sets. Then, by combining with the ORESTE method, a direct decision procedure for multi-attribute decision making with Pythagorean fuzzy information is developed. Finally, a numerical example of the evaluation of regional energy efficiency is shown to illustrate the feasibility and validity of the developed decision procedure.

引用

页码：372 / 383

页数：12

共 44 条

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