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

Document Type : Research Paper


1 School of Mathematics, Thapar Institute of Engineering and Technology, Deemed University, Patiala-147004, Punjab, India

2 Department of Mathematics, Riphah Institute of Computing and Applied Sciences (RICAS), Riphah International University (Lahore Campus), 54000, Lahore, Pakistan

3 Department of Mathematics and Statistics, International Islamic University Islamabad-44000, Pakistan


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.


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