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( L ,⊙)-Fuzzy ( K , E )-Soft Filter

Author

Listed:
  • Ahmed Aref Abd El-Latif

    (Department of Mathematics, Faculty of Science and Arts at Belqarn, University of Bisha, Bisha 67361, Saudi Arabia
    High Institute of Computer King Marriott, Alexandria 3135, Egypt
    These authors contributed equally to this work.)

  • Ahmed Abd Elkader Ramadan

    (Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef 62511, Egypt
    These authors contributed equally to this work.)

Abstract

In the present study, we preface the notion of the ( L , ⊙ ) -fuzzy ( K , E ) -soft filter and probe many of its characteristics. Using certain operations, we induce ( L , ⊙ ) -fuzzy ( K , E ) -soft topologies from ( L , ⊙ ) -fuzzy ( K , E ) -soft filters. Finally, we introduce the products of the ( L , ⊙ ) -fuzzy ( K , E ) -soft filters and ( L , ⊙ ) -fuzzy ( K , E ) -soft topologies on strictly two-sided commutative quantale lattices ( L , ⊙ ) and ( L , ∗ ) .

Suggested Citation

  • Ahmed Aref Abd El-Latif & Ahmed Abd Elkader Ramadan, 2021. "( L ,⊙)-Fuzzy ( K , E )-Soft Filter," Mathematics, MDPI, vol. 9(22), pages 1-12, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:22:p:2895-:d:678698
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    References listed on IDEAS

    as
    1. Lingqiang Li & Qiu Jin, 2014. "Lattice-Valued Convergence Spaces: Weaker Regularity and -Regularity," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, January.
    2. Rui Gao & Jianrong Wu, 2020. "A Net with Applications for Continuity in a Fuzzy Soft Topological Space," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-7, June.
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