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

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.