Algorithm for multiple attribute decision-making using T-spherical fuzzy Maclaurin symmetric mean operator

被引:12
作者
Garg, H. [1 ]
Ahmad, A. [2 ]
Ullah, K. [3 ]
Mahmood, T. [4 ]
Ali, Z. [4 ]
机构
[1] Deemed Univ, Thapar Inst Engn & Technol, Sch Math, Patiala 147004, Punjab, India
[2] Grap Era Deemed Univ, Dept Math, Dehra Dun 248002, Uttaranchal, India
[3] Riphah Int Univ, Riphah Inst Comp & Appl Sci RICAS, Dept Math, Lahore Campus, Lahore 54000, Pakistan
[4] Int Islamic Univ, Dept Math & Stat, Islamabad 44000, Pakistan
来源
IRANIAN JOURNAL OF FUZZY SYSTEMS | 2022年 / 19卷 / 06期
关键词
T-spherical fuzzy set; Maclaurin symmetric mean operator; multiple attribute decision making method; Q-RUNG ORTHOPAIR; SETS;
D O I
10.22111/IJFS.2022.7215
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The conception of T-spherical fuzzy set (TSFS) is a recent phenomenon in the environment of fuzzy notions that describe opinion about some certain objects under uncertainties with the help of four types of degrees known as the degree of membership (DM), degree of abstinence (DA), degree of non-membership (DNM) and degree of refusal (DR). The focus of this manuscript, to examine the interrelationship among any numbers of T-spherical fuzzy numbers (TSFNs) by the use Maclaurin symmetric mean (MSM) operators. We investigate and develop T-spherical fuzzy (TSF) MSM (TSFMSM) operator, TSF weighted MSM (TSFWMSM) operator, TSF dual MSM (TSFDMSM) operator, TSF weighted dual MSM (TSFWDMSM) operator. By using these investigated operators, some special cases of the explored operators are also developed, and their properties are examined. In addition, an algorithm for handling multi attribute decision making (MADM) problems based MSM operators in TSF setting. An illustrative example to check the applicability of the MSM operators of TSFSs is presented where the evaluation of technology commercialization is observed. To show the superiority of the newly established MSM operators, a comprehensive comparative study is designed numerically. In view of the comparative analysis, some advantages of the new MSM operators of the TSFNs are stated.
引用
收藏
页码:111 / 124
页数:14
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