Complex Fuzzy Geometric Aggregation Operators

被引：90

作者：

Bi, Lvqing ^{[1
]}

Dai, Songsong ^{[2
]}

Hu, Bo ^{[2
,3
]}

机构：

[1] Yulin Normal Univ, Sch Elect & Commun Engn, Guangxi Coll & Univ Key Lab Complex Syst Optimiza, Yulin 537000, Peoples R China

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

[3] Guizhou Normal Univ, Sch Mech & Elect Engn, Guiyang 550025, Guizhou, Peoples R China

来源：

SYMMETRY-BASEL | 2018年 / 10卷 / 07期

关键词：

complex fuzzy sets; aggregation operator; complex fuzzy geometric operators; rotational invariance; reflectional invariance; MULTICRITERIA DECISION-MAKING; PYTHAGOREAN MEMBERSHIP GRADES; INFORMATION AGGREGATION; SETS; NUMBERS; LOGIC; OPERATIONS;

D O I：

10.3390/sym10070251

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A complex fuzzy set is an extension of the traditional fuzzy set, where traditional [0,1]-valued membership grade is extended to the complex unit disk. The aggregation operator plays an important role in many fields, and this paper presents several complex fuzzy geometric aggregation operators. We show that these operators possess the properties of rotational invariance and reflectional invariance. These operators are also closed on the upper-right quadrant of the complex unit disk. Based on the relationship between Pythagorean membership grades and complex numbers, these operators can be applied to the Pythagorean fuzzy environment.

引用

页数：14

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