Methods for MADM with Picture Fuzzy Muirhead Mean Operators and Their Application for Evaluating the Financial Investment Risk

被引：117
|
作者：
Wang, Rui [1 ]
Wang, Jie [1 ]
Gao, Hui [1 ]
Wei, Guiwu [1 ]
机构：
[1] Sichuan Normal Univ, Sch Business, Chengdu 610101, Sichuan, Peoples R China
来源：
SYMMETRY-BASEL | 2019年 / 11卷 / 01期
基金：
中国国家自然科学基金;
关键词：
MADM; picture fuzzy set (PFS); PFMM operator; PFWMM operator; PFDMM operator; PFWDMM operator; financial investment risk; HAMACHER AGGREGATION OPERATORS; SIMILARITY MEASURES; CROSS-ENTROPY; SETS; FRAMEWORK; SELECTION; DISTANCE; PROJECT; SYSTEMS; MODELS;
D O I：
10.3390/sym11010006
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：
In this article, we study multiple attribute decision-making (MADM) problems with picture fuzzy numbers (PFNs) information. Afterwards, we adopt a Muirhead mean (MM) operator, a weighted MM (WMM) operator, a dual MM (DMM) operator, and a weighted DMM (WDMM) operator to define some picture fuzzy aggregation operators, including the picture fuzzy MM (PFMM) operator, the picture fuzzy WMM (PFWMM) operator, the picture fuzzy DMM (PFDMM) operator, and the picture fuzzy WDMM (PFWDMM) operator. Of course, the precious merits of these defined operators are investigated. Moreover, we have adopted the PFWMM and PFWDMM operators to build a decision-making model to handle picture fuzzy MADM problems. In the end, we take a concrete instance of appraising a financial investment risk to demonstrate our defined model and to verify its accuracy and scientific merit.
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页数：20
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