Exploring Ideals: An Analysis Through Rough Set Theory with Examples

Authors

  • Anand Prakash Department of Mathematics, Shri Vaishnav Vidyapeeth Vishwavidyalaya, Indore, MP, India, Pin-453111
  • Rahul Shukla Department of Mathematical Sciences and Computing, Walter Sisulu University, Mthatha 5117, South Africa

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i1.5514

Keywords:

Rough Set, Ideals, Upper and Lower Approximation

Abstract

Rough set theory, a powerful mathematical framework, excels in addressing uncertainty and imprecision. In this study, we explore the analysis and provide examples of ideals and prime ideals within imprecise scenarios, utilizing rough set theory to quantify and navigate the inherent imprecision and roughness within these algebraic structures. This research contributes to our comprehension of how rough set theory effectively manages imprecision in algebraic contexts.

Downloads

Published

2025-01-31

Issue

Section

Nonlinear Analysis

How to Cite

Exploring Ideals: An Analysis Through Rough Set Theory with Examples. (2025). European Journal of Pure and Applied Mathematics, 18(1), 5514. https://doi.org/10.29020/nybg.ejpam.v18i1.5514