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An Operational Characterization of Soft Topologies by Crisp Topologies

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  • José Carlos R. Alcantud

    (BORDA Research Unit and Multidisciplinary Institute of Enterprise (IME), University of Salamanca, E37007 Salamanca, Spain)

Abstract

This paper contributes to the expanding literature on soft topology. We first prove that soft topologies can be characterized by crisp topologies. This takes advantage of two connected constructions that produce soft topologies from crisp topologies and vice versa. Both constructions are explicit and amenable to mathematical manipulations. Various consequences demonstrate that our theory has far-reaching implications for the development of soft topology and its extensions.

Suggested Citation

  • José Carlos R. Alcantud, 2021. "An Operational Characterization of Soft Topologies by Crisp Topologies," Mathematics, MDPI, vol. 9(14), pages 1-12, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:14:p:1656-:d:594042
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    References listed on IDEAS

    as
    1. Cigdem Gunduz (Aras) & Sadi Bayramov, 2013. "Some Results on Fuzzy Soft Topological Spaces," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-10, May.
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    Cited by:

    1. Muhammad Riaz & Hafiz Muhammad Athar Farid & Weiwei Wang & Dragan Pamucar, 2022. "Interval-Valued Linear Diophantine Fuzzy Frank Aggregation Operators with Multi-Criteria Decision-Making," Mathematics, MDPI, vol. 10(11), pages 1-36, May.

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