Some Novel Pythagorean Fuzzy Interaction Aggregation Operators in Multiple Attribute Decision Making

被引：108

作者：

Gao, Hui ^{[1
]}

Lu, Mao ^{[1
]}

Wei, Guiwu ^{[1
]}

Wei, Yu ^{[2
]}

机构：

[1] Sichuan Normal Univ, Sch Business, Chengdu 610101, Sichuan, Peoples R China

[2] Yunnan Univ Finance & Econ, Sch Finance, Kunming 650221, Yunnan, Peoples R China

来源：

FUNDAMENTA INFORMATICAE | 2018年 / 159卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Multiple attribute decision making; Pythagorean fuzzy numbers; Pythagorean fuzzy interaction weighted average (PFIWA) operator; Pythagorean fuzzy interaction weighted geometric (PFIWG) operator; power arithmetic aggregation operators; power geometric aggregation operators; service outsourcing provider; communications industry; BONFERRONI MEAN OPERATORS; RELATIONAL ANALYSIS METHOD; PRIORITIZED OPERATORS; GEOMETRIC OPERATORS; SIMILARITY MEASURES; MEMBERSHIP GRADES; CROSS-ENTROPY; INFORMATION; SETS; MODELS;

D O I：

10.3233/FI-2018-1669

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In this paper, we investigate the multiple attribute decision making problems with Pythagorean fuzzy information. Then, we utilize arithmetic and geometric operations to develop some Pythagorean fuzzy interaction aggregation operators: Pythagorean fuzzy interaction weighted average (PFIWA) operator, Pythagorean fuzzy interaction weighted geometric (PFIWG) operator, Pythagorean fuzzy interaction ordered weighted average (PFIOWA) operator, Pythagorean fuzzy interaction ordered weighted geometric (PFIOWG) operator, Pythagorean fuzzy interaction hybrid average (PFIHA) operator, Pythagorean fuzzy interaction hybrid geometric (PFIHG) operator, Pythagorean fuzzy interaction correlate aggregation operators, Pythagorean fuzzy interaction induced aggregation operators, Pythagorean fuzzy interaction induced correlate aggregation operators, Pythagorean fuzzy interactive power arithmetic and geometric aggregation operators. The prominent characteristic of these proposed operators are studied. Then, we have utilized these operators to develop some approaches to solve the Pythagorean fuzzy multiple attribute decision making problems. Finally, a practical example for selecting the service outsourcing provider of communications industry is given to verify the developed approach and to demonstrate its practicality and effectiveness.

引用

页码：385 / 428

页数：44

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