On Intuitionistic Fuzzy PMS-Ideals of a PMS-Algebra Under Homomorphism and Cartesian Product-Reference-Cited by-同舟云学术

On Intuitionistic Fuzzy PMS-Ideals of a PMS-Algebra Under Homomorphism and Cartesian Product

Published:2023-05-02 Issue:1 Volume:16 Page:
ISSN:1875-6883
Container-title:International Journal of Computational Intelligence Systems
language:en
Short-container-title:Int J Comput Intell Syst

Author:

Alaba Berhanu Assaye,Derseh Beza Lamesgin^ORCID,Wondifraw Yohannes Gedamu

Abstract

AbstractIn this paper, we use the concept of an intuitionistic fuzzy set to PMS-ideals in PMS-algebras. We discuss the notion of intuitionistic fuzzy PMS-ideals under homomorphism and Cartesian product and investigate several related properties. The homomorphism of an intuitionistic fuzzy PMS-ideal of a PMS-algebra is studied, and its homomorphic image and inverse image are investigated. The Cartesian product of any two intuitionistic fuzzy PMS-ideals is discussed, and some related results are obtained. The Cartesian product of the intuitionistic fuzzy PMS-ideals is characterized in terms of their level sets. Finally, we discuss the concept of the strongest intuitionistic fuzzy relations on an intuitionistic fuzzy PMS-ideal of a PMS-algebra and investigate the relationships between the strongest intuitionistic fuzzy relations and the intuitionistic fuzzy PMS-ideals.

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,General Computer Science

Link

https://link.springer.com/content/pdf/10.1007/s44196-023-00242-5.pdf

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