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On bipolar-valued fuzzy quasi-semiprime ideals of \({\mathcal {L}}{\mathcal {A}}\)-semigroups

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Abstract

The aim of this paper is to apply bipolar-valued fuzzy sets in \({\mathcal {L}}{\mathcal {A}}\)-semigroup theory. We introduce the concept of bipolar-valued fuzzy quasi-semiprime and bipolar-valued fuzzy semiprime ideals in \({\mathcal {L}}{\mathcal {A}}\)-semigroups. In addition, we also characterize bipolar-valued fuzzy quasi-semiprime ideal by the properties of these bipolar-valued fuzzy points. Moreover, we investigated relationships between bipolar-valued fuzzy quasi-semiprime ideals and bipolar-valued fuzzy semiprime ideals. Finally, several characterizations of bipolar-valued fuzzy quasi-semiprime ideal by the properties of \(\left( t,t\right) \)-cut sets are given.

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Acknowledgements

This work (Grant No. RGNS 64-189) was financially supported by Office of the Permanent Secretary, Ministry of Higher Education, Science, Research and Innovation.

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  1. Department of Mathematics Faculty of Science and Technology, Pibulsongkram Rajabhat University, Phitsanuloke, 65000, Thailand

    Pairote Yiarayong

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  1. Pairote Yiarayong
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Correspondence to Pairote Yiarayong.

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Yiarayong, P. On bipolar-valued fuzzy quasi-semiprime ideals of \({\mathcal {L}}{\mathcal {A}}\)-semigroups. Afr. Mat. 33, 81 (2022). https://doi.org/10.1007/s13370-022-01009-5

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