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Afrika Matematika

, Volume 29, Issue 1–2, pp 81–96 | Cite as

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

  • Paltu Sarkar
  • Sukhendu Kar
Article

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.

Keywords

Semihypergroup (i-v)  Prime fuzzy hyperideal (i-v)  Fuzzy hyper radical 

Mathematics Subject Classification

08A72 

Notes

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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Copyright information

© African Mathematical Union and Springer-Verlag GmbH Deutschland 2017

Authors and Affiliations

  1. 1.Department of MathematicsAnanda Chandra CollegeJalpaiguriIndia
  2. 2.Department of MathematicsJadavpur UniversityKolkataIndia

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