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Multipolar Fuzzy Hyperideals in Ordered Semihypergroups

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 Mathematical Sciences, Yazd University, Yazd 89136, Iran
    These authors contributed equally to this work.)

Abstract

An multi-polar fuzzy set is a robust mathematical model to examine multipolar, multiattribute, and multi-index data. The multi-polar fuzzy sets was created as a useful mechanism to portray uncertainty in multiattribute decision making. In this article, we consider the theoretical applications of multi-polar fuzzy sets. We present the notion of multi-polar fuzzy sets in ordered semihypergroups and define multi-polar fuzzy hyperideals (bi-hyperideals, quasi hyperideals) in an ordered semihypergroup. Relations between multi-polar fuzzy hyperideals, multi-polar fuzzy bi-hyperideals and multi-polar fuzzy quasi hyperideals are discussed.

Suggested Citation

  • Osman Kazancı & Sarka Hoskova-Mayerova & Bijan Davvaz, 2022. "Multipolar Fuzzy Hyperideals in Ordered Semihypergroups," Mathematics, MDPI, vol. 10(19), pages 1-11, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3424-:d:920439
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    References listed on IDEAS

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    1. Alireza Chalekaee & Zenonas Turskis & Mostafa Khanzadi & Gholamreza Ghodrati Amiri & Violeta Keršulienė, 2019. "A New Hybrid MCDM Model with Grey Numbers for the Construction Delay Change Response Problem," Sustainability, MDPI, vol. 11(3), pages 1-16, February.
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