Paper Info
Title
T-Spherical Fuzzy Power Muirhead Mean Operator Based on Novel Operational Laws and Their Application in Multi-Attribute Group Decision Making.
Abstract
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.
Year
DOI
Venue
2019
10.1109/ACCESS.2019.2896107
IEEE ACCESS
Keywords
Field
DocType
T-Spherical fuzzy set,novel operational laws,MAGDM,aggregation operator,power average operator,MM operator,power Murihead mean operator
Operational laws,Mathematical optimization,Computer science,Fuzzy logic,Fuzzy set,Operator (computer programming),Pythagorean theorem,Group decision-making,Distributed computing
Journal
Volume
ISSN
Citations 
7
2169-3536
1
PageRank 
References 
Authors
0.35
0
4
Name
Order
Citations
PageRank
Peide Liu11571102.34
Qaisar Khan2122.53
Tahir Mahmood39528.76
Nasruddin Hassan411517.55