Atanassov's intuitionistic fuzzy hyperrings (rings) based on intuitionistic fuzzy universal sets

Bijan Davvaz, Karema S. Abdulmula, Abdul Razak Salleh

Research output: Contribution to journalArticle

Abstract

The aim of this paper is to present a formulation of intuitionistic fuzzy hyperring based on the notion of intuitionistic fuzzy universal set as a direct generalization of fuzzy hyperring based on the notion of fuzzy universal set. A relation between intuitionistic fuzzy hyperring based on intuitionistic fuzzy universal set and fuzzy hyperring based on fuzzy universal set is obtained in terms of induction and correspondence and the relation between the intuitionistic fuzzy subhyperring (hyperideals) and the classical fuzzy hyperring in the sense of Davvaz is obtained..

Original languageEnglish
Pages (from-to)407-438
Number of pages32
JournalJournal of Multiple-Valued Logic and Soft Computing
Volume21
Issue number3-4
Publication statusPublished - 2013

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Hyperring
Ring
Proof by induction
Correspondence

Keywords

  • Fuzzy hyperring
  • Intuitionistic fuzzy hyperoperation
  • Intuitionistic fuzzy hyperring.
  • Intuitionistic fuzzy universal set

ASJC Scopus subject areas

  • Software
  • Logic
  • Theoretical Computer Science

Cite this

Atanassov's intuitionistic fuzzy hyperrings (rings) based on intuitionistic fuzzy universal sets. / Davvaz, Bijan; Abdulmula, Karema S.; Salleh, Abdul Razak.

In: Journal of Multiple-Valued Logic and Soft Computing, Vol. 21, No. 3-4, 2013, p. 407-438.

Research output: Contribution to journalArticle

Davvaz, Bijan ; Abdulmula, Karema S. ; Salleh, Abdul Razak. / Atanassov's intuitionistic fuzzy hyperrings (rings) based on intuitionistic fuzzy universal sets. In: Journal of Multiple-Valued Logic and Soft Computing. 2013 ; Vol. 21, No. 3-4. pp. 407-438.
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