Intuitionistic Fuzzy Structures on Sheffer Stroke UP-algebras

Authors

  • Neelamegarajan Rajesh Rajah Serfoji Government College
  • Tahsin Oner Ege University
  • Aiyared Iampan Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand https://orcid.org/0000-0002-0475-3320
  • Ibrahim Senturk Ege University

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i1.5627

Keywords:

Sheffer stroke (UP-algebra), subalgebra, ideal, intuitionistic fuzzy SUP-subalgebra, intuitionistic fuzzy SUP-ideal

Abstract

The study defines an intuitionistic fuzzy SUP-subalgebra and a level set of an intuitionistic fuzzy UP-structure on Sheffer stroke UP-algebras. It appears that these concepts are integral to understanding the behavior of neutrosophic logic within the framework of Sheffer stroke UP-algebras. The study establishes a relationship between UP-subalgebras and level sets on Sheffer stroke UP-algebras. Specifically, it proves that the level set of intuitionistic fuzzy SUP-subalgebras on this algebra is its subalgebra, and vice versa. It is stated that the family of all intuitionistic fuzzy SUP-subalgebras of a Sheffer stroke UP-algebra forms a complete distributive lattice. Additionally, it is shown that every intuitionistic fuzzy SUP-ideal of a Sheffer stroke UP-algebra is also its intuitionistic fuzzy SUP-subalgebra, though the inverse is generally not true. This highlights the specific characteristics and behavior of intuitionistic fuzzy SUP-ideals within the given algebraic context.

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Published

2025-01-31

Issue

Vol. 18 No. 1: (January 2025)

Section

Nonlinear Analysis

License

Copyright (c) 2025 Neelamegarajan Rajesh, Tahsin Oner, Aiyared Iampan, Ibrahim Senturk

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How to Cite

Intuitionistic Fuzzy Structures on Sheffer Stroke UP-algebras. (2025). European Journal of Pure and Applied Mathematics, 18(1), 5627. https://doi.org/10.29020/nybg.ejpam.v18i1.5627