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Fuzzy Multi-Hypergroups

Author

Listed:
  • Sarka Hoskova-Mayerova

    (Department of Mathematics and Physics, University of Defence in Brno, Kounicova 65, 662 10 Brno-střed, Czech Republic)

  • Madeline Al Tahan

    (Department of Mathematics, Lebanese International University, Beqaa Valley 1803, Lebanon)

  • Bijan Davvaz

    (Department of Mathematics, Yazd University, Yazd 89139, Iran)

Abstract

A fuzzy multiset is a generalization of a fuzzy set. This paper aims to combine the innovative notion of fuzzy multisets and hypergroups. In particular, we use fuzzy multisets to introduce the concept of fuzzy multi-hypergroups as a generalization of fuzzy hypergroups. Different operations on fuzzy multi-hypergroups are defined and discussed and some results known for fuzzy hypergroups are generalized to fuzzy multi-hypergroups.

Suggested Citation

  • Sarka Hoskova-Mayerova & Madeline Al Tahan & Bijan Davvaz, 2020. "Fuzzy Multi-Hypergroups," Mathematics, MDPI, vol. 8(2), pages 1-14, February.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:2:p:244-:d:320480
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    References listed on IDEAS

    as
    1. Dheeraj Kumar Joshi & Ismat Beg & Sanjay Kumar, 2018. "Hesitant Probabilistic Fuzzy Linguistic Sets with Applications in Multi-Criteria Group Decision Making Problems," Mathematics, MDPI, vol. 6(4), pages 1-20, March.
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    Cited by:

    1. Osman Kazancı & Sarka Hoskova-Mayerova & Bijan Davvaz, 2022. "Algebraic Hyperstructure of Multi-Fuzzy Soft Sets Related to Polygroups," Mathematics, MDPI, vol. 10(13), pages 1-16, June.
    2. Sarka Hoskova-Mayerova & Madeline Al Tahan, 2021. "Anti-Fuzzy Multi-Ideals of Near Ring," Mathematics, MDPI, vol. 9(5), pages 1-11, February.

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