Intuitionistic Fuzzy Ordered Subalgebras in Ordered BCI-algebras

Authors

  • Eun Hwan Roh Department of Mathematics Education, Chinju National University of Education
  • Eunsuk Yang Department of Philosophy, Jeonbuk National University
  • Young Bae Jun Department of Mathematics Education, Gyeongsang National University

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i3.4832

Keywords:

Intuitionistic fuzzy point, intuitionistic fuzzy (ordered) subalgebra, $q_{(t,s)}$-level set

Abstract

In this paper, we apply the concept of an intuitionistic fuzzy set to ordered subalgebras in ordered BCI-algebras in the sense of intuitionistic fuzzy point. We introduce the notion of an intuitionistic fuzzy (ordered) subalgebra in ordered BCI-algebras, and investigate some related properties. We provide relations between an intuitionistic fuzzy ordered subalgebra and an intuitionistic fuzzy subalgebra. We give characterizations of an intuitionistic fuzzy (ordered) subalgebra. Finally, we provide relations between a $q_{(t,s)}$-level set of intuitionistic fuzzy set and an intuitionistic fuzzy ordered subalgebra.

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Published

2023-07-30

Issue

Vol. 16 No. 3: (July 2023)

Section

Nonlinear Analysis

License

Copyright (c) 2023 European Journal of Pure and Applied Mathematics

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How to Cite

Intuitionistic Fuzzy Ordered Subalgebras in Ordered BCI-algebras. (2023). European Journal of Pure and Applied Mathematics, 16(3), 1342-1358. https://doi.org/10.29020/nybg.ejpam.v16i3.4832