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Application Multi-Fuzzy Soft Sets in Hypermodules

Author

Listed:
  • Osman Kazancı

    (Department of Mathematics, Karadeniz Technical University, Trabzon 61080, Turkey
    These authors contributed equally to this work.)

  • Sarka Hoskova-Mayerova

    (Department of Mathematics and Physics, University of Defence, Kounicova 65, 662 10 Brno, Czech Republic
    These authors contributed equally to this work.)

  • Bijan Davvaz

    (Department of Mathematics, Yazd University, Yazd 89136, Iran
    These authors contributed equally to this work.)

Abstract

The goal of this paper is to introduce a novel soft hyperstructure called multi-fuzzy soft hyperstructure. We investigate the notion of multi-fuzzy soft hypermodules and some of their structural properties are discussed. We discuss the behavior image and inverse image of a multi-fuzzy soft set under the multi-fuzzy soft function. According to Zadeh’s extension principle, we prove that the image and inverse image of a multi-fuzzy soft hypermodules are further multi-fuzzy soft hypermodule.

Suggested Citation

  • Osman Kazancı & Sarka Hoskova-Mayerova & Bijan Davvaz, 2021. "Application Multi-Fuzzy Soft Sets in Hypermodules," Mathematics, MDPI, vol. 9(18), pages 1-14, September.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:18:p:2182-:d:630491
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    References listed on IDEAS

    as
    1. Sabu Sebastian & T. V. Ramakrishnan, 2011. "Multi-fuzzy sets: An extension of fuzzy sets," Fuzzy Information and Engineering, Springer, vol. 3(1), pages 35-43, March.
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