Fuzzy hyperrings (Hv-rings) based on fuzzy universal sets

  • Authors:

  • B. Davvaz;M. Fathi;A. R. Salleh

  • Affiliations:

  • Department of Mathematics, Yazd University, Yazd, Iran;School of Mathematical Sciences, Faculty of Science, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor Darul Ehsan, Malaysia;School of Mathematical Sciences, Faculty of Science, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor Darul Ehsan, Malaysia

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2010

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Abstract

The aim of this paper is to define and study the concept of a fuzzy hyperring, which depends on the concept of a fuzzy universal set. A correspondence relation between a fuzzy hyperring based on a fuzzy universal set and both ordinary and fuzzy hyperideal in the sense of Davvaz is obtained.