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

D. Jeni Seles Martina and G. Deepa
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D. Jeni Seles Martina: Department of Mathematics, VIT University, Vellore, Tamil Nadu, India
G. Deepa: Department of Mathematics, VIT University, Vellore, Tamil Nadu, India

International Journal of Information Technology & Decision Making (IJITDM), 2023, vol. 22, issue 01, 37-56

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.

Keywords: Multi-valued neutrosophic fuzzy matrix (MVNFM); determinant of MVNFM; adjoint of MVNFM; multi-criteria decision-making (MCDM); linguistic variable; neutrosophic simplified-TOPSIS (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0219622022500572

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