Fuzzy Product KM-Subalgebras and Some Related Properties | Zendy

K. Kalaiarasi | Zendy; V Manimozhi | Zendy; Nasreen Kausar | Zendy; Dragan Pamučar | Zendy; Sajida Kousar | Zendy; Yaé Ulrich Gaba | Zendy

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Fuzzy Product KM-Subalgebras and Some Related Properties

Author(s) -

K. Kalaiarasi,

V Manimozhi,

Nasreen Kausar,

Dragan Pamučar,

Sajida Kousar,

Yaé Ulrich Gaba

Publication year - 2021

Publication title -

complexity

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.447

H-Index - 61

eISSN - 1099-0526

pISSN - 1076-2787

DOI - 10.1155/2021/3991871

Subject(s) - fuzzy logic , cartesian product , subalgebra , mathematics , ideal (ethics) , algebra over a field , product (mathematics) , generalization , pure mathematics , intersection (aeronautics) , discrete mathematics , computer science , artificial intelligence , engineering , geometry , mathematical analysis , philosophy , aerospace engineering , epistemology

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.

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