Fermatean Neutrosophic Soft Structure and its Ideals in Hyper BCK-Algebras

M. Kaviyarasu; Mohammed  Alqahtani; M.  Rajeshwari; Kholood  Alnefai

doi:10.37256/cm.6220255814

Authors

M. Kaviyarasu Department of Mathematics, Vel Tech Rangarajan Dr Sagunthala R and D Institute of Science and Technology, 60002, Chennai, India https://orcid.org/0000-0002-4709-1857
Mohammed Alqahtani Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, P.O. Box 93499, Riyadh 11673, Saudi Arabia
M. Rajeshwari Department of Mathematics, School of Engineering, Presidency University, Bangalure, India
Kholood Alnefai Department of Mathematics, College of Science, Taibah University, Madinah 42353, Saudi Arabia

DOI:

https://doi.org/10.37256/cm.6220255814

Keywords:

fermatean neutrosophic soft sets, hyper BCK-algebras, fermatean neutrosophic soft hyper BCK-ideals, fermatean neutrosophic soft weak hyper BCK-ideals, fermatean neutrosophic soft s-weak hyper BCK-ideals, fermatean neutrosophic soft strong hyper BCK-ideals, fuzzy logic

Abstract

The goal of this paper is to investigate the use of fermatean neutrosophic soft sets (FNSSs) in the context of hyper BCK-algebras. While examining their characteristics and connections, it presents several ideas, including fermatean neutrosophic soft hyper BCK-ideals (FNSH BCK-ideals), fermatean neutrosophic soft weak hyper BCK-ideals (FNSWH BCK-ideals), fermatean neutrosophic softs-weak hyper BCK-ideals (FNSs-WH BCK-ideals), and fermatean neutrosophic soft strong hyper BCK-ideals (FNSSH BCK-ideals). The criteria under which an FNSWH BCK-ideal can be categorized as an FNSs-WH BCK-ideal are also investigated, along with the classification of FNSWH BCK-ideals. Furthermore, standards are given for determining if an FNSS is an FNSSH BCK-ideal.

Fermatean Neutrosophic Soft Structure and its Ideals in Hyper BCK-Algebras

Authors

DOI:

Keywords:

Abstract

Downloads

Published

How to Cite

Issue

Section

License