Operations on Multi-Valued Neutrosophic Matrices and Its Application to Neutrosophic Simplified-TOPSIS Method

Abstract

Neutrosophic matrices are more logical and feasible for the decision-makers, and they play a vital role in addressing multi-criteria decision making problems and dealing with indeterminacy. In this paper, we defined the multi-valued neutrosophic fuzzy matrix as well as its determinant, adjoint, and various operations. Under those operations, we defined several propositions. We prove that multi-valued neutrosophic matrices may not have to satisfy all of the properties of regular neutrosophic matrices but their application to multi-criteria decision-making problems is highly efficient. We introduced new linguistic variables for corresponding multi-valued neutrosophic numbers. The application of the proposed linguistic variable was numerically demonstrated by using the neutrosophic simplified-TOPSIS approach. The shown problem decides which sim card is best for the phone, which is evaluated by a team of decision-makers and the result is graphically displayed.