T-Spherical Fuzzy Power Muirhead Mean Operator Based on Novel Operational Laws and Their Application in Multi-Attribute Group Decision Making

被引:118
作者
Liu, Peide [1 ]
Khan, Qaisar [2 ]
Mahmood, Tahir [2 ]
Hassan, Nasruddin [3 ]
机构
[1] Shandong Univ Finance & Econ, Sch Management Sci & Engn, Jinan 250014, Shandong, Peoples R China
[2] Int Islamic Univ, Dept Math & Stat, Islamabad 44000, Pakistan
[3] Univ Kebangsaan Malaysia, Sch Math Sci, Fac Sci & Technol, Selongar 43600, Malaysia
基金
中国国家自然科学基金;
关键词
T-Spherical fuzzy set; novel operational laws; MAGDM; aggregation operator; power average operator; MM operator; power Murihead mean operator; PYTHAGOREAN MEMBERSHIP GRADES; AGGREGATION OPERATORS; SETS;
D O I
10.1109/ACCESS.2019.2896107
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
T-spherical fuzzy set (T-SPFS) is a generalization of several fuzzy concepts such as fuzzy set (FS), intuitionistic FS, picture FS, Pythagorean FS, and q-rung orthopair FS. T-SPFS is a more powerful mathematical tool to handle uncertain, inconsistent, and vague information than the above-defined sets. In this paper, some limitations in the operational laws for SPF numbers (SPFNs) are discussed and some novel operational laws for SPFNs are proposed. Furthermore, two new aggregation operators for aggregating SPF information are proposed and are applied to multiple-attribute group decision-making (MAGDM). To take the advantages of Muirhead mean (MM) operator and power average operator, the SPF power MM (SPFPMM) operator, weighted SPFPMM operator, SPF power dual MM (SPFPDMM) operator, weighted SPFPDMM operator are introduced and their anticipated properties are discussed. The main advantage of these developed aggregation operators is that they take the relationship among fused data and the interrelationship among aggregated values, thereby getting more information in the process of MAGDM. Moreover, a novel approach to MAGDM based on the developed aggregation operators is established. Finally, a numerical example is given to show the effectiveness of the developed approach and comparison with the existing approaches is also given.
引用
收藏
页码:22613 / 22632
页数:20
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