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A study on (i-v) prime fuzzy hyperideal of semihypergroups

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Abstract

In this paper, our main objective is to introduce and investigate the interval-valued (in short, (i-v)) prime fuzzy hyperideal in semihypergroups in detail. We notice that every (i-v) semiprime fuzzy hyperideal may not be an (i-v) prime fuzzy hyperideal and we produce a counter example to illustrate this result. Moreover, we define (i-v) fuzzy hyper radical of an (i-v) fuzzy hyperideal of a semihypergroup. Finally, we study some interesting properties regarding this radical.

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Acknowledgements

The authors would like to express their sincere thanks to the reviewers for their esteemed comments to improve the presentation of our manuscript.

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Authors and Affiliations

  1. Department of Mathematics, Ananda Chandra College, Jalpaiguri, West Bengal, India

    Paltu Sarkar

  2. Department of Mathematics, Jadavpur University, Kolkata, West Bengal, India

    Sukhendu Kar

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  1. Paltu Sarkar
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  2. Sukhendu Kar
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Correspondence to Paltu Sarkar.

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Sarkar, P., Kar, S. A study on (i-v) prime fuzzy hyperideal of semihypergroups. Afr. Mat. 29, 81–96 (2018). https://doi.org/10.1007/s13370-017-0528-2

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  • DOI: https://doi.org/10.1007/s13370-017-0528-2

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