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Soft Topology Derived By Soft Points And Fixed Point Functions

Author

Listed:
  • Hürmet Fulya Ak?z

    (Bozok University)

  • Ak?n Osman Atagün

    (Bozok University)

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.

Suggested Citation

  • Hürmet Fulya Ak?z & Ak?n Osman Atagün, 2016. "Soft Topology Derived By Soft Points And Fixed Point Functions," Proceedings of International Academic Conferences 3605797, International Institute of Social and Economic Sciences.
    • Handle: RePEc:sek:iacpro:3605797
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    File URL: https://iises.net/proceedings/23rd-international-academic-conference-venice/table-of-content/detail?cid=36&iid=005&rid=5797
    File Function: First version, 2016
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    More about this item

    Keywords

    Topology; soft topology; usual topology.;
    All these keywords.

    JEL classification:

    • C69 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Other

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