Abstract
The algebraic and topological structures based on a new kind of soft set relations, Z-soft set relations, are characterized. Here we introduce the Z-soft set relations and provide further investigations to them. Several new operations of Z-soft set relations are employed to investigate the fundamental properties of Z-soft set relations. In particular, it is shown that the collection of all Z-soft set relations over a soft set gives rise to commutative idempotent hemirings, MV-algebras, Boolean algebras, De Morgan algebras, Kleene algebras and Stone algebras with respect to the new operations defined in this paper. Further, Z-soft set relation topologies are studied by employing Z-anti-reflexive interior operators and Z-reflexive closure operators of Z-soft set relations. It is noteworthy that intrinsic connections between Z-anti-reflexive interior operators and Z-reflexive closure operators have been established.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
