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

Author

Listed:
  • D. Jeni Seles Martina

    (Department of Mathematics, VIT University, Vellore, Tamil Nadu, India)

  • G. Deepa

    (Department of Mathematics, VIT University, Vellore, Tamil Nadu, India)

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.

Suggested Citation

  • D. Jeni Seles Martina & G. Deepa, 2023. "Operations on Multi-Valued Neutrosophic Matrices and Its Application to Neutrosophic Simplified-TOPSIS Method," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 22(01), pages 37-56, January.
    • Handle: RePEc:wsi:ijitdm:v:22:y:2023:i:01:n:s0219622022500572
    DOI: 10.1142/S0219622022500572
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    Cited by:

    1. Jeni Seles Martina Donbosco & Deepa Ganesan, 2023. "The energy of interval valued neutrosophic matrix in decision making to select the manager for the company project," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 33(4), pages 35-51.

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