Algebraic Aspects of Bipolar Fuzzy Soft Boolean Rings

Authors

  • Gadde Sambasiva Rao Bapatla Engineering College
  • Velayutham Parthiban Kolanchinathan Anna University
  • K. Jhansi Rani Lakireddy Bali Reddy College of Engineering
  • Aiyared Iampan Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand https://orcid.org/0000-0002-0475-3320
  • K. Hemabala Sree Rama Engineering College
  • D. Ramesh Koneru Lakshmaiah Educational Foundation
  • B. Satyanarayana Acharya Nagarjuna University

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6459

Keywords:

Fuzzy Set (FS), Bipolar Fuzzy Set (BFS), Fuzzy Soft Set (FSS), Soft Set (SS)

Abstract

This work introduces the concept of bipolar fuzzy soft Boolean rings (BFSBRs), an algebraic structure that unifies soft sets (SSs) and bipolar fuzzy sets (BFSs) within Boolean ring (BR) systems. It develops essential definitions, operations, and properties for modeling dual-sided uncertainty in decision-making contexts. Beyond its theoretical contributions, the framework is designed to support early-stage mathematical research by science classroom students. It encourages deeper engagement with abstract mathematical thinking and fosters collaboration between students, teachers, and research mentors, thus promoting a more inclusive and research-oriented learning environment.

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Algebra

License

Copyright (c) 2025 Gadde Sambasiva Rao, Velayutham Parthiban Kolanchinathan, K. Jhansi Rani, Aiyared Iampan, K. Hemabala, D. Ramesh, B. Satyanarayana

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How to Cite

Algebraic Aspects of Bipolar Fuzzy Soft Boolean Rings. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6459. https://doi.org/10.29020/nybg.ejpam.v18i3.6459