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Full Length Article
Volume 0 - 2019 , Issue II- Vol 0, PP: 57-66 , 2019


Generalized Weighted Exponential Similarity Measures of Single Valued Neutrosophic Sets

Authors Names :   Abhijit Saha   1 *     Arnab Paul   2  

1  Affiliation :  Dept. of Mathematics, Techno College of Engg. Agartala, Maheshkhola, Tripura, INDIA

    Email :  abhijit84.math@gmail.com

2  Affiliation :  Dept. of Mathematics, Techno College of Engg. Agartala, Maheshkhola, Tripura, INDIA

    Email :  mrarnabpaul87@gmail.com

Doi   :  10.5281/zenodo.3929846

Received: February 01, 2019 Revised: March 27, 2019 Accepted: May 10, 2019

Abstract :

  A single valued neutrsophic set is one of the most successful extensions of the classical set, fuzzy set, intuitionistic fuzzy set, Pythagorean fuzzy set and q-rung orthopair fuzzy set due to the fact that it can handle uncertain data in more wider way. In this paper, we introduce some new generalized weighted similarity measures based on the exponential functions defined on truth-membership function, indeterminacy membership function and falsity membership function of a single valued neutrosophic set to study the independent influences of the truth-membership function, indeterminacy membership function and falsity membership function. The salient features of these proposed similarity measures are studied in detail. Based on the proposed similarity measures, we propose a multi attribute decision making method. To show the feasibility and effectiveness of the proposed method, an investment decision making problem is demonstrated.

Keywords :

Single valued neutrosophic set , weighted exponential similarity measures , decision making.

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