Application of Information Theoretic Measures in Neutrosophic  Soft Environment

Surender Singh; Sonam Sharma

Authors

Surender Singh School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, Jammu and Kashmir, India
Sonam Sharma School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, Jammu and Kashmir, India

Keywords:

single-valued neutrosophic set, neutrosophic soft set, dimensionality reduction, score matrix, entropy measure, similarity measure.

Abstract

Soft set theory is a valuable mathematical tool for modeling and analyzing uncertain
systems. A neutrosophic soft set is a hybrid entity of a neutrosophic set, and a soft set that enables
a more comprehensive analysis of uncertainty in a system. In this article, we introduce some novel
information theoretic measures in a single-valued neutrosophic soft environment. Additionally, we
study the data-dimensionality reduction using two-pronged approach, leveraging the score matrix
and neutrosophic soft entropy measure. The complexity of decision-making problems involving
numerous factors can be alleviated using the dimensionality reduction technique. Finally, the
comparative analysis is presented with the help of an illustrative example utilizing a measure of
performance. The comparative study highlighted the advantage of the proposed methods.

DOI: 10.5281/zenodo.17096081