An Approach to Neutrosophic Hyper Soft Rough Matrix and its  Application

J. Boobalan; E. Mathivadhana

Authors

J. Boobalan Department of Mathematics, Manbumigu Dr Puratchithalaivar M.G.R. Government Arts and Science College, Kattumannarkoil- 608 301, India;
E. Mathivadhana Department of Mathematics, Annamalai University, Annamalai Nagar, India;

Keywords:

Neutrosophic hyper soft matrix; Neutrosophic hyper soft rough matrix; Weighted arithmetic mean; Weighted geometric mean; Weighted harmonic mean; Score matrix; Multi-attribute decision-making.

Abstract

This paper introduces a novel of Neutrosophic Hyper Soft Rough Matrix (NHSRM). We discuss
various operators on NHSRM such as addition, multiplication, scalar multiplication and complement. Addi
tionally, we develop several properties, including associativity, distributivity and De Morgan’s laws, utilizing
operators such as union, intersection, complement, arithmetic mean, weighted arithmetic mean, geometric mean,
weighted geometric mean, harmonic mean and weighted harmonic mean. Further we propose a score function
as part of this work. To demonstrate the application of the proposed work, a multi-attribute decision-making
problem is considered. The score matrix obtained from three different operators are compared, and the results
are illustrated graphically.

DOI: 10.5281/zenodo.15265783