A New Approach of Complex Fuzzy Ideals in BCK/BCI-Algebras-Reference-Cited by-同舟云学术

A New Approach of Complex Fuzzy Ideals in BCK/BCI-Algebras

Published:2024-05-18 Issue:10 Volume:12 Page:1583
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Balamurugan Manivannan¹^ORCID,Ramesh Thukkaraman¹²^ORCID,Al-Masarwah Anas³^ORCID,Alsager Kholood⁴^ORCID

Affiliation:

1. Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Chennai 600 062, India

2. Department of Mathematics, Sri Vidya Mandir Arts & Science College (Autonomous), Uthangarai 636 902, India

3. Department of Mathematics, Faculty of Science, Ajloun National University, P.O. Box 43, Ajloun 26810, Jordan

4. Department of Mathematics, College of Science, Qassim University, Buraydah 52571, Saudi Arabia

Abstract

The concept of complex fuzzy sets, where the unit disk of the complex plane acts as the codomain of the membership function, as an extension of fuzzy sets. The objective of this article is to use complex fuzzy sets in BCK/BCI-algebras. We present the concept of a complex fuzzy subalgebra in a BCK/BCI-algebra and explore their properties. Furthermore, we discuss the modal and level operators of these complex fuzzy subalgebras, highlighting their importance in BCK/BCI-algebras. We study various operations, and the laws of a complex fuzzy system, including union, intersection, complement, simple differences, and bounded differences of complex fuzzy ideals within BCK/BCI-algebras. Finally, we generate a computer programming algorithm that implements our complex fuzzy subalgebras/ideals in BCK/BCI-algebras procedure for ease of lengthy calculations.

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/10/1583/pdf

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