Studies on soft topological spaces

Article type: Research Article

Authors: Babitha, K.V. | John, Sunil Jacob

Affiliations: Department of Mathematics, National Institute of Technology Calicut, Calicut, Kerala, India

Note: [] Corresponding author. K.V. Babitha, Department of Mathematics, National Institute of Technology Calicut, Calicut 673 601, Kerala, India. Tel.: +91 9447208759; E-mails: [email protected] (K.V. Babitha); [email protected] (S.J. John).

Abstract: Soft set is a completely generic mathematical tool for modeling uncertainties. Topology is a branch of mathematics, whose concepts exist not only in almost all branches of mathematics, but also in many real life applications. This paper mainly focuses on soft continuous functions and soft product topology. The concept soft homeomorphism and soft subbasis is also introduced and results based on these concepts are also obtained. It is also introduced the concept of soft connectedness and soft compactness. Moreover separation axioms on soft topological space are also studied and derived some relationship among these concepts.

Keywords: Soft topology, soft continuous function, soft homeomorphism, soft product topology, soft compactness, soft separation axioms

DOI: 10.3233/IFS-141457

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 4, pp. 1713-1722, 2015