Determinant-Theoretic Model for MCDM under Neutrosophic  Hyper Soft Rough Matrices

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 Rough Matrix, Determinant Theory, Multi-Criteria Decision Making, Score-based Algorithm, Determinant-based Algorithm.

Abstract

In this paper, we explore the integration of determinant theory within the framework of Neutro
sophic Hyper Soft Rough Matrix (NHSRM). We introduce a formal definition of the determinant for NHSRMs,
establish its mathematical properties, and develop a determinant-based algorithm tailored for Multi-Criteria
Decision-Making (MCDM). To highlight its practical utility, we conduct a comparative analysis with an exist
ing score-based approach. To demonstrate the effectiveness of the proposed approach, an example is provided
in which the determinant is computed and subsequently used to rank alternatives and assess the influence
of different parameters. Additionally, a sensitivity analysis is performed to examine the robustness of the
decision-making strategy under varying weight parameters. The results affirm that the determinant-based ap
proach offers a more structured and reliable decision-making mechanism compared to score-based methods.

DOI: 10.5281/zenodo.17088746