Properties of multiplication operation of neutrosophic fuzzy matrices

Authors

  • Deepraj Das Department of Mathematics, Maharaja Bir Bikram University, Agartala-799004, Tripura, India
  • Runu Dhar Department of Mathematics, Maharaja Bir Bikram University, Agartala-799004, Tripura, India
  • Binod Chandra Tripathy Department of Mathematics, Tripura University, Agartala-799022, Tripura, India

Keywords:

Neutrosophic Set, Fuzzy Matrix, Neutrosophic fuzzy Matrix, Properties of Neutrosophic Fuzzy Matrices

Abstract

The article reveals the investigation of properties of multiplication operation of neutrosophic fuzzy matrices. We study commutative property, associative property, distributive property of them. We show with suitable example that neutrosophic fuzzy matrices do not obey commutative property with respect to multiplication operation. We prove that neutrosophic fuzzy matrices hold associative property property with respect to multiplication operation. We also prove that neutrosophic fuzzy matrices hold distributive property with respect to multiplication operation over addition. These results are further justified by providing suitable numerical examples. The important aspects of the article is that the investigation of commutative, associative and distributive properties of neutrosophic fuzzy matrices with respect to multiplication operation will fill up the gaps in the existing literature.

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Published

2023-12-15

Issue

Vol. 61 (2023): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Copyright (c) 2023 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Deepraj Das, Runu Dhar, & Binod Chandra Tripathy. (2023). Properties of multiplication operation of neutrosophic fuzzy matrices. Neutrosophic Sets and Systems, 61, 134-148. https://fs.unm.edu/nss8/index.php/111/article/view/3781