On Soft Semi-Open Sets and Soft Semi-Continuity in Fuzzifying Soft Topological Spaces

Authors: Ramadhan A. Mohammed¹ & Tahir H. Ismail² & A. A. Allam^3
1Department of Mathematics, College of Basic Education, University of Duhok, Duhok, Iraq
²Department of Mathematics, College of Com. Sci. and Math.,University of Mosul, Mosul, Iraq
³Department of Mathematics, Faculty of Science, University of Assiut, Assiut, Egypt

Abstract:  In this paper, a new class of soft open sets in fuzzifying soft topological spaces called soft semi open sets is introduced and its fuzzifying soft topological properties is studied and investigated. Moreover, we aim to introduce and study the concepts of soft semi neighborhood system, soft semi interior, soft semi closure and soft semi boundary operators, in fuzzifying soft topological spaces. Finally, the concept of soft semi-continuity is defined and studied.

Keywords: Fuzzifying Soft Topology, Fuzzifying Soft Semi-Open Sets, Fuzzifying Soft Semi-Continuity

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doi: 10.23918/eajse.v4i2p158

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