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SOFT TOPOLOGY DERIVED BY SOFT POINTS AND FIXED POINT FUNCTIONS

Hürmet Fulya Ak?z () and Ak?n Osman Atagün ()
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Hürmet Fulya Ak?z: Bozok University
Ak?n Osman Atagün: Bozok University

No 3605797, Proceedings of International Academic Conferences from International Institute of Social and Economic Sciences

Abstract: Abstract: Soft set theory was proposed by Molodtsov [1], for modeling vague ness and uncertainties inherent in the problems of engineering, physical science, biological science, economics, social science, medical science, etc. Recently, studies on soft set theory are progressing rapidly. Then topological structures of soft set and fuzzy soft set have been studied by many authors recently.The notion of soft topology was introduced by Ça?man [3].In the later years soft topological structures and their properties have been studied commonly. In this study, we introduce a new approach to soft topology. We construct anew structure by giving the notion of soft points and the fixed point functions. This definition enables us to define soft usual topology. So we can study on soft path-connectedness by this way.

Keywords: Topology; soft topology; usual topology. (search for similar items in EconPapers)
JEL-codes: C69 (search for similar items in EconPapers)
Pages: 1 page
Date: 2016-05
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Published in Proceedings of the Proceedings of the 23rd International Academic Conference, Venice, May 2016, pages 18-18

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