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Soft set theory is a theme of interest for many authors working in various areas because of its rich potential for applications in many directions. They are defined using total belong and total non-belong relations with respect to ordinary points. Also, we explore under what conditions they are kept between soft topological space and its parametric topological spaces. Further, we investigate some interrelations of them and some soft topological notions such as soft compactness, product soft spaces and sum of soft topological spaces. Citation: Tareq M. Al-shami, El-Sayed A.

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In this paper, we introduce another application on the b-open soft sets [10], by studying the notion of connectedness based on it. We give basic definitions and theorems about it. Further, we introduce the notion of b-irresolute soft functions as a generalization of the b-continuous soft functions and study their properties in detail. Finally, we show that the surjective b-irresolute soft image of soft b-connected space is also soft b-connected. Abd El-latif and Serkan Karatas: Supra b-open soft sets and supra b-soft continuity on soft topological spaces. Journal of Mathematics and Computer Applications Research, 2 1 , Abd El-latif: Soft connectedness and irresoluteness via -open soft sets. Honam Mathematical Journal. Abd El-lati: Soft supra strongly generalized closed sets. Preprint, no. Preprint , pp. Ahmad and A.

Naz: On soft topological spaces. Al-Shumrani, B. Journal Help.

In the present paper we introduces the concept of soft connectedness in soft m-structure and studied some of their properties and characterizations. Acar, F. Koyuncu and B. Tanay: Soft sets and soft rings. Akdag and A.

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El-Shafei, T. Biswas and A. Subhashinin and C. Abstract In the present paper, we introduce one class of soft mappings,namely soft almost b-continuous mappings and investigate several properties of these mappings. Atmaca: Remarks on soft topological spaces. Keywords Soft set, Soft topological space, Soft interior, Soft closure, Open soft, Closed soft, Soft b-connected, Soft b-component, Soft b-hyperconnected, Soft b-separated, Soft b-connected, B-irresolute soft functions. Journal of New Theory 23 , Journal of New Theory 23 93— Export Close. Journal of the Egyptian Mathematical Society ,23, ,pp. Abd El-latif: -operation and decompositions of some forms of soft continuity of soft topological spaces via soft ideal. Roy, Soft set theory, Comput. IEEE S. Al-shami El-Sayed A.

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Petropoulos: On soft topological spaces. Sekar : Soft p-connectedness via soft p-open sets. Min: Remarks on soft topological spaces. Shabir, On some new operations in soft set theory, Comput. Hussain and B. Zorlutana, N. Jeyanthi and C. Kandil, O. Keywords Soft m-structure , Soft m-connectedness and Soft m-connectedness between soft sets. Feng, X.