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Bipolar fuzzy hyperideals in regular and intra-regular semihypergroups

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Abstract

The major objective of this paper is to introduce the concept of \((\alpha ,\beta )\)-bipolar fuzzy (subsemihypergroups, hyperideals, bi-hyperideals) of a semihypergroup by using the concept of bipolar fuzzy point of a semihypergroup. Characterizations of regular semihypergroups and intra-regular semihypergroups on the basis of the properties of their \((\in ,\in \vee q)\)-bipolar fuzzy hyperideals and \((\in ,\in \vee q)\)-bipolar fuzzy bi-hyperideals are also presented.

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Authors and Affiliations

  1. Department of Mathematics, Quaid-e-Azam University Islamabad, Islamabad, 44000, Pakistan

    Muhammad Shabir & Tasmia Abbas

  2. Department of Mathematics, University of Gujrat, Gujrat, 50700, Pakistan

    Shahida Bashir & Rabia Mazhar

Authors
  1. Muhammad Shabir
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  2. Tasmia Abbas
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  3. Shahida Bashir
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  4. Rabia Mazhar
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Correspondence to Shahida Bashir.

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Communicated by Leonardo Tomazeli Duarte.

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Shabir, M., Abbas, T., Bashir, S. et al. Bipolar fuzzy hyperideals in regular and intra-regular semihypergroups. Comp. Appl. Math. 40, 196 (2021). https://doi.org/10.1007/s40314-021-01574-8

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  • DOI: https://doi.org/10.1007/s40314-021-01574-8

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