Fuzzy Product KM-Subalgebras and Some Related Properties. (6th October 2021)

• Record Type: Journal Article
• Authors: Kalaiarasi, K.; Manimozhi, V.; Kausar, N.; Pamucar, D.; Kousar, S.; Gaba, Y. U.
• Other Names: Abramović Borna Academic Editor.
• Is Part Of: Complexity. Volume 2021(2021)
• Publication Date: 2021-10-06
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2021/3991871
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : The concept of KM-algebras has been originated in 2019. KM-algebra is a generalization of some of the B-algebras such as BCK, BCI, BCH, BE, and BV and also d-algebras. KM-algebra serves two purposes in mathematics and computer science as follows: a tool for application in both fields and a strategy for creating the foundations. On the fuzziness of KM-algebras, an innovative perspective on fuzzy product KM-algebras as well as some related features is offered. Moreover, the notion of KMM-ideals is described and also initiated the concept of the KM-Cartesian product of fuzzy KM-algebras, and related outcomes are examined. Some of the innovative results in fuzzy KMM-ideals and KM-Cartesian product of fuzzy KM-subalgebras are analyzed, and some are as follows: arbitrary intersection of fuzzy KMM-ideals is again a fuzzy KMM-ideal, order reversing holds true in every KMM-ideal, every fuzzy KM-subalgebra is a fuzzy KMM-ideal, and KM-Cartesian product of two fuzzy KM-subalgebras is again a fuzzy KM-subalgebra.