Paper Info
Title
T-Spherical Fuzzy Einstein Hybrid Aggregation Operators and Their Applications in Multi-Attribute Decision Making Problems
Abstract
T-spherical fuzzy set is a recently developed model that copes with imprecise and uncertain events of real-life with the help of four functions having no restrictions. This article's aim is to define some improved algebraic operations for T-SFSs known as Einstein sum, Einstein product and Einstein scalar multiplication based on Einstein t-norms and t-conorms. Then some geometric and averaging aggregation operators have been established based on defined Einstein operations. The validity of the defined aggregation operators has been investigated thoroughly. The multi-attribute decision-making method is described in the environment of T-SFSs and is supported by a comprehensive numerical example using the proposed Einstein aggregation tools. As consequences of the defined aggregation operators, the same concept of Einstein aggregation operators has been proposed for q-rung orthopair fuzzy sets, spherical fuzzy sets, Pythagorean fuzzy sets, picture fuzzy sets, and intuitionistic fuzzy sets. To signify the importance of proposed operators, a comparative analysis of proposed and existing studies is developed, and the results are analyzed numerically. The advantages of the proposed study are demonstrated numerically over the existing literature with the help of examples.
Year
DOI
Venue
2020
10.3390/sym12030365
SYMMETRY-BASEL
Keywords
DocType
Volume
picture fuzzy set,spherical fuzzy set,T-spherical fuzzy sets,multi-attribute decision making,Einstein aggregation operators
Journal
12
Issue
Citations 
PageRank 
3.0
2
0.38
References 
Authors
0
5
Name
Order
Citations
PageRank
Muhammad M. Munir191.92
Humaira Kalsoom242.76
Kifayat Ullah34110.15
Tahir Mahmood49528.76
Yuming Chu522234.44