A defuzzification method on single-valued trapezoidal neutrosophic numbers and multiple attribute decision making

Year 2020, Volume: 41 Issue: 1, 22 - 37, 22.03.2020

İrfan Deli Emel Kırmızı Öztürk

https://doi.org/10.17776/csj.574518

Cited By: 4

Abstract

In this paper, we give multiple attribute decision-making (MADM) method where both the attribute value and attribute weight of alternatives are single-valued trapezoidal neutrosophic numbers (SVTN-numbers). In spite of existing ranking methods, no one can rank SVTN-numbers with human intuition consistently in all cases. Therefore, we introduce a novel defuzzification method for ranking SVTN-numbers. To do this, some basic definitions and operations on the concepts of fuzzy set, fuzzy number, intuitionistic fuzzy set, intuitionistic fuzzy number, single-valued neutrosophic set, SVTN-number are presented. Then, concepts of I. score function and II. score function to reduce the SVTN-numbers to fuzzy numbers are defined. Finally, multiple criteria decision-making (MCDM) method for multiple criteria decision-making problems by using the concept of I. score function and II. score function of SVTN-numbers and defuzzification of fuzzy numbers are developed. Also, we have used a numerical example to verify the feasibility and the superiority of the proposed method compared to the existing methods.

Keywords

Neutrosophic set, single valued trapezoidal neutrosophic number, score function, defuzzification, multiple attribute decision-making.

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