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Fuzzy soft set over a fuzzy topological space

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Abstract

The aim of this article, we combine the fuzzy soft set and fuzzy topological space. We introduce the notion of fuzzy soft set over common universe of fuzzy topological space. We defined quasi-open fuzzy soft set over fuzzy topological space and we study the properties of extended union of two quasi-open fuzzy soft set over fuzzy topological space. We study “OR” and “AND” operations of quasi-open fuzzy soft set over fuzzy topological space. We also define open fuzzy soft set, b-open fuzzy soft set and b-closed fuzzy soft set over fuzzy topological space. We give some characterizations of these concepts.

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Authors and Affiliations

  1. Department of Mathematics, Hazara University, Mansehra, Khyber Pakhtunkhwa, Pakistan

    Saleem Abdullah & Muhammad Shahzad

  2. Department of Mathematics, Faculty of Science, King Abdulaziz University, AL Faisaliah Campus, Jeddah, Saudi-Arabia

    Wafa S. Al Shammakh

  3. Department of Mathematics, International Islamic University, Islamabad, Pakistan

    Tahir Mahmood

Authors
  1. Saleem Abdullah
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  2. Wafa S. Al Shammakh
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  3. Tahir Mahmood
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  4. Muhammad Shahzad
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Correspondence to Saleem Abdullah.

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Abdullah, S., Al Shammakh, W.S., Mahmood, T. et al. Fuzzy soft set over a fuzzy topological space. Int. J. Mach. Learn. & Cyber. 7, 491–499 (2016). https://doi.org/10.1007/s13042-015-0420-z

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  • DOI: https://doi.org/10.1007/s13042-015-0420-z

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