Fuzzy primary representations of fuzzy ideals

D. S. Malik, John N. Mordeson

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

Let R be a commutative ring with identity, and let A be a fuzzy ideal of R. Then A is said to have a fuzzy primary representation if A is the intersection of a finite number of fuzzy primary ideals. We show that every fuzzy ideal A of R such that A(0) = 1 has a fuzzy primary representation if and only if R is artinian. We show that uniqueness properties for reduced primary representations of ideals (in the usual sense) carry over to fuzzy ideals.

Original languageEnglish (US)
Pages (from-to)151-165
Number of pages15
JournalInformation sciences
Volume55
Issue number1-3
DOIs
StatePublished - Jun 1991

All Science Journal Classification (ASJC) codes

  • Software
  • Control and Systems Engineering
  • Theoretical Computer Science
  • Computer Science Applications
  • Information Systems and Management
  • Artificial Intelligence

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