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


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.


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

Mathematics Subject Classification




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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