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On generalized fuzzy hyperideals in ordered LA-semihypergroups

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Abstract

In this paper, we study the hyperideals of ordered LA-semihypergroups in terms of \((\overline{\in },\overline{\in }\vee \overline{q_{k}})\)-fuzzy sets which is a new generalization of fuzzy hyperideals. We study the relation between different \((\overline{\in },\overline{\in }\vee \overline{q_{k}})\) -fuzzy hyperideals in regular ordered LA-semihypergroups. Finally the upper parts of the \((\overline{\in },\overline{\in }\vee \overline{q_{k}})\)-fuzzy LA-subsemihypergroup (resp., left hyperideal, right hyperideal, hyperideal, interior hyperideal, bi-hyperideal) is defined and some related results are provided.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (No. 11801081).

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan

    Naveed Yaqoob

  2. Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Zulfi, Saudi Arabia

    Naveed Yaqoob

  3. Department of Mathematics, Hazara University, Mansehra, KP, Pakistan

    Muhammad Gulistan & Muhammad Azhar

  4. School of Mathematics and Statistics, Fuyang Normal University, Fuyang, People’s Republic of China

    Jian Tang

Authors
  1. Naveed Yaqoob
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  2. Muhammad Gulistan
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  3. Jian Tang
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  4. Muhammad Azhar
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Correspondence to Naveed Yaqoob.

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Yaqoob, N., Gulistan, M., Tang, J. et al. On generalized fuzzy hyperideals in ordered LA-semihypergroups. Comp. Appl. Math. 38, 124 (2019). https://doi.org/10.1007/s40314-019-0876-7

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