Abstract
To contribute to the area of infra soft topology, we introduce one of the generalizations of infra soft open sets called infra soft semiopen sets. We establish some characterizations of them and study their main properties. We determine under what condition this class is closed under finite intersection and show that this class is preserved under infra soft continuous mappings and finite product of soft spaces. Then, we present the concepts of infra semi-interior, infra semiclosure, infra semilimit, and infra semiboundary soft points of a soft set and elucidate the relationships between them. Finally, we exploit infra soft semiopen and infra soft semiclosed sets to define new types of soft mappings. We characterize each one of these soft mappings and explore main features.
Highlights
In 1999, Molodtsov [1] presented a novel mathematical tool to address vagueness, namely, soft sets
We aim to explore the properties of this type of generalizations in the frame of infra soft topology
A family ξ of soft sets over T with Θ as a parameter set is said to be an infra soft topology on T if it is closed under finite intersection and Φ is a member of ξ
Summary
The motivations of continuously investigating infra soft topological structure are that many topological properties are kept in the frame of infra soft topologies as well as the easy construction of examples that illustrate the relationships among the topological concepts. This matter was investigated for the concepts of infra soft compactness and infra soft connectedness in [18, 19]. We elucidate the soundness of several properties of semiopen sets via infra soft topological spaces. The arrangement of this article is as follows: Section 2 is allocated to mention some definitions and results relating to soft set theory and infra soft topology.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
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.
