In this work we continue to investigate the properties of soft semi-open and soft semi-closed sets in soft topological spaces. We define a new type of soft semi-open and soft semi-closed sets as stronger forms of them, named SSc-open and SSc- closed sets. The class of SSc-open sets is weaker than the class of soft regular closed sets. Then we introduce the concept of SSc-neighbourhood, SSc-derived, SSc-interior, SSc-closure and SSc-boundary in soft topological spaces. It is shown that if X is soft extremally disconnected space, then the family of SSc-open sets forms a soft topology on X and whenever X is soft locally indiscrete space, then both the families of SSc-open sets and soft semi-open sets are identical. It is shown that every soft open set is an SSc-open when X is a soft regular space. Using this set we define new types of soft mappings called SSc-continuous and θSSc- continuous mappings. It is shown that SSc-continuity implies θSSc-continuity and SSc-continuity is stronger than soft semi-continuity. It is observed that θSSc- continuity is stronger than soft almost semi-continuity. Furthermore, some con- ditions are provided that make SSc-continuity and θSSc-continuity equivalent to some other types of soft continuity.
Finally, some new types of soft separation axioms are defined and investigated. The axioms which separate soft point are called SSc-Ti spaces while the axioms which separate the ordinary point are called SSc-T ∗ spaces. It is proved that SSc-Ti (resp., SSc-T ∗) gives SSc-Ti−1 (resp., SSc-T ∗
) for (i = 1, 2) . It is shown that a soft space X is SSc-T1 (resp., SSc-T ∗) if every soft point (resp., singleton soft set) is SSc-closed. Also, it is shown that SSc-Ti and SSc-T ∗ spaces for (i = 0, 1) are independent except that an SSc-T ∗ space implies SSc-T2 space.
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