Neutrosophic Filters and Their Applications in BCK-Algebras

Authors

  • Arkan A. Atshan General Directorate of Education Al-Muthanna, Ministry of Education, Iraq
  • Shuker M. Khalil Department of Mathematics, College of Science, University of Basrah, Iraq.
  • Shadia M. Noor Department of Mathematics, College of Education for Pure Science, Tikrit University, Tikrit, Iraq
  • Qays H. Imran Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq.

Keywords:

Neutrosophic sets theory;

Abstract

This paper explores the integration of neutrosophic logic into the algebraic structure known as BCK-algebra, with a particular focus on the development and analysis of neutrophic filters. We present new definitions, fundamental theorems, and illustrative examples of important applications in decision-making. This study contributes to the theoretical foundations of logic under uncertainty and offers new directions for research into algebraic structures with incomplete information using neutrosophic filters in BCK-algebra.

 

DOI: 10.5281/zenodo.17041923

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Published

2025-12-25

Issue

Vol. 94 (2025): Neutrosophic Sets and Systems

Section

Article

License

Copyright (c) 2025 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Arkan A. Atshan, Shuker M. Khalil, Shadia M. Noor, & Qays H. Imran. (2025). Neutrosophic Filters and Their Applications in BCK-Algebras. Neutrosophic Sets and Systems, 94, 103-115. https://fs.unm.edu/nss8/index.php/111/article/view/7150

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