TOPSIS-Based Entropy Measure for N-Valued Neutrosophic Trapezoidal Numbers and Their Application to Multi-Criteria Decision-Making Problems

As an extension of the neutrosophic trapezoidal numbers, the N-valued neutrosophic trapezoidal numbers, which are special neutrosophic multisets on real numbers, are used to effectively solve the repetitive uncertainty of decision-makers in multi-criteria decision-making problems. The aim of the chapter is to develop a multi-criteria decision-making method under N-valued neutrosophic trapezoidal numbers. Therefore, we first propose some new generalized distance measures for N-valued neutrosophic trapezoidal numbers. Also, some desirable properties of these measures are shown, and some special cases of the measure are given. We second propose an entropy measure to construct a decision-making method, which is to find the weight of criterias. Then, we develop a multi-criteria decision-making method under N-valued neutrosophic trapezoidal numbers called TOPSIS-based entropy method. Furthermore, we apply it to a decision-making problem to illustrate the effectiveness of the developed method. Finally, a comparative analysis is initiated with the decision-making problem to show the advantages of our method.