A study on n-HyperSpherical Neutrosophic matrices

Authors

  • V. Muthukumaran Department of Mathematics,College-of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur - 603203., Tamilnadu, India;
  • M. Sathish Kumar Department of Mathematics, Paavai Engineering College (Autonomous), Namakkal 637 018, Tamilnadu, India;
  • I. Silambarasan Department of Mathematics, Annamalai University, Annamalainagar, Tamilnadu, India;
  • R. Udhayakumar Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamilnadu, India;
  • SAID BROUMI Laboratory of Information Processing, Faculty of Science Ben MSik University of Hassan II, Casablanca, Morocco and Regional Center for the Professions of Education and Training (C.R.M.E.F), Casablanca, Moroccoa;

Keywords:

: Neutrosophic sets; Spherical fuzzy matrix; n-HyperSpherical Neutrosophic matrix; Algebraic sum and product

Abstract

The n-HyperSpherical Neutrosophic matrices (n-HSNMs), an extension of the Spherical Neutrosophic matrices, are proposed in this study. We investigate the basic properties of n-HSNMs and compare the
idea n-HSNMs with spherical fuzzy matrices. Then, it looks at the characteristics of specific mathematical
operations, like max-min, algebraic product, min-max, algebraic sum, and complement. Additionally, scalar
multiplication (nS)and exponentiation (S
n
)operations of an n-HSNM S are created and their advantageous
properties are illustrated using algebraic operations. Then, we present a new operation (@) on n-HyperSpherical
Neutrosophic matrices and look at the distributional rules that result from combining the operations (⊕, ⊗, ∧,
and ∨)

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Published

2023-05-01

Issue

Vol. 55 (2023): Neutrosophic Sets and Systems

Section

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

License

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

V. Muthukumaran, M. Sathish Kumar, I. Silambarasan, R. Udhayakumar, & SAID BROUMI. (2023). A study on n-HyperSpherical Neutrosophic matrices. Neutrosophic Sets and Systems, 55, 344-357. https://fs.unm.edu/nss8/index.php/111/article/view/3196

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