Fuzzy Product KM-Subalgebras and Some Related Properties-Reference-Cited by-同舟云学术

Fuzzy Product KM-Subalgebras and Some Related Properties

Published:2021-10-06 Issue: Volume:2021 Page:1-8
ISSN:1099-0526
Container-title:Complexity
language:en
Short-container-title:Complexity

Author:

Kalaiarasi K.¹^ORCID,Manimozhi V.¹^ORCID,Kausar N.²^ORCID,Pamucar D.³^ORCID,Kousar S.⁴^ORCID,Gaba Y. U.⁵⁶⁷^ORCID

Affiliation:

1. PG and Research Department of Mathematics, Cauvery College for Women (Autonomous), Trichy-18 Affiliated to Bharathidasan University, Trichy, India

2. Department of Mathematics, Faculty of Arts and Science, Yildiz Technical University, Esenler, 34210, Istanbul, Turkey

3. Department of Logistics, University of Defence in Belgrade, Belgrade, Serbia

4. Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan

5. Quantum Leap Africa (QLA) AIMS Rwanda Center, Remera Sector KN 3, Kigali, Rwanda

6. Institut de Mathématiques et de Sciences Physiques (IMSP/UAC), Laboratoire de Topologie Fondamentale, Computationnelle et leurs Applications (Lab-ToFoCApp), BP 613, Porto-Novo, Benin

7. African Center for Advanced Studies, P.O. Box 4477, Yaounde, Cameroon

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.

Funder

Carnegie Corporation of New York

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

Link

http://downloads.hindawi.com/journals/complexity/2021/3991871.pdf

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