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 theattribute value and attribute weight of alternatives are single-valued trapezoidal neutrosophicnumbers (SVTN-numbers). In spite of existing ranking methods, no one can rank SVTNnumbers with human intuition consistently in all cases. Therefore, we introduce a noveldefuzzification method for ranking SVTN-numbers. To do this, some basic definitions andoperations on the concepts of fuzzy set, fuzzy number, intuitionistic fuzzy set, intuitionisticfuzzy number, single-valued neutrosophic set, SVTN-number are presented. Then, conceptsof 𝑰. score function and 𝑰𝑰. score function to reduce the SVTN-numbers to fuzzy numbers aredefined. Finally, multiple criteria decision-making (MCDM) method for multiple criteriadecision-making problems by using the concept of 𝑰. score function and 𝑰𝑰. score function ofSVTN-numbers and defuzzification of fuzzy numbers are developed. Also, we have used anumerical example to verify the feasibility and the superiority of the proposed methodcompared to the existing methods.