Complex fuzzy arithmetic aggregation operators

被引：71

作者：

Bi, Lvqing ^{[1
,2
]}

Dai, Songsong ^{[2
]}

Hu, Bo ^{[2
,3
]}

Li, Sizhao ^{[4
]}

机构：

[1] Yulin Normal Univ, Sch Elect & Commun Engn, Guangxi Coll & Univ Key Lab Complex Syst Optimiza, Yulin, Peoples R China

[2] Xiamen Univ, Sch Informat Sci & Engn, Xiamen 361005, Peoples R China

[3] Guizhou Normal Univ, Sch Mech & Elect Engn, Guiyang, Guizhou, Peoples R China

[4] Harbin Engn Univ, Coll Comp Sci & Technol, Harbin, Heilongjiang, Peoples R China

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2019年 / 36卷 / 03期

关键词：

Complex fuzzy sets; complex fuzzy arithmetic aggregation (CFAA) operators; complex fuzzy ordered weight arithmetic aggregation (CFOWAA) operators; pythagorean fuzzy sets; PYTHAGOREAN MEMBERSHIP GRADES;

D O I：

10.3233/JIFS-18568

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

A complex fuzzy set, characterized by complex-valued membership functions, is a generalization of a fuzzy set. In this paper, we present complex fuzzy arithmetic aggregation (CFAA) operators, complex fuzzy weighted arithmetic aggregation (CFWAA) operators. Based on the partial ordering of complex fuzzy values, we develop complex fuzzy ordered weighted arithmetic aggregation (CFOWAA) operators. Highly pertinent to complex fuzzy operations is the concept of rotational. This concept has been developed for complex fuzzy aggregation operators. We show that CFAA, CFWAA and CFOWAA operators possess the property of rotational invariance. Moreover, based on the relationship between Pythagorean membership grades and complex numbers, these operators are studied under Pythagorean fuzzy values.

引用

页码：2765 / 2771

页数：7

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