A Novel Approach to Multi-Attribute Group Decision-Making based on Interval-Valued Intuitionistic Fuzzy Power Muirhead Mean

被引:19
作者
Xu, Wuhuan [1 ]
Shang, Xiaopu [1 ]
Wang, Jun [1 ]
Li, Weizi [2 ]
机构
[1] Beijing Jiaotong Univ, Sch Econ & Management, Beijing 100044, Peoples R China
[2] Univ Reading, Henley Business Sch, Informat Res Ctr, Reading RG6 6UD, Berks, England
来源
SYMMETRY-BASEL | 2019年 / 11卷 / 03期
基金
中国国家自然科学基金; 国家教育部科学基金资助; 北京市自然科学基金;
关键词
multi-attribute group decision-making; interval-valued intuitionistic fuzzy sets; power average operator; Muirhead mean; interval-valued intuitionistic fuzzy power Muirhead mean; AGGREGATION OPERATORS;
D O I
10.3390/sym11030441
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
This paper focuses on multi-attribute group decision-making (MAGDM) course in which attributes are evaluated in terms of interval-valued intuitionistic fuzzy (IVIF) information. More explicitly, this paper introduces new aggregation operators for IVIF information and further proposes a new IVIF MAGDM method. The power average (PA) operator and the Muirhead mean (MM) are two powerful and effective information aggregation technologies. The most attractive advantage of the PA operator is its power to combat the adverse effects of ultra-evaluation values on the information aggregation results. The prominent characteristic of the MM operator is that it is flexible to capture the interrelationship among any numbers of arguments, making it more powerful than Bonferroni mean (BM), Heronian mean (HM), and Maclaurin symmetric mean (MSM). To absorb the virtues of both PA and MM, it is necessary to combine them to aggregate IVIF information and propose IVIF power Muirhead mean (IVIFPMM) operator and the IVIF weighted power Muirhead mean (IVIFWPMM) operator. We investigate their properties to show the strongness and flexibility. Furthermore, a novel approach to MAGDM problems with IVIF decision-making information is introduced. Finally, a numerical example is provided to show the performance of the proposed method.
引用
收藏
页数:20
相关论文
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