A note on fuzzy relations and fuzzy groups

D. S. Malik, John N. Mordeson

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

It is shown that for a group G if σμ is a fuzzy subgroup of G for all fuzzy subgroups μ of G × G, then either G is a cyclic group of order pm for some m ≥ 1 or G ∼- Z(p), where p is a prime. Conversely, we prove that if either G is a cyclic group of order pm for some m ≥ 1 or G ∼- Z(p) then σμ is a fuzzy subgroup of G for any fuzzy subgroup μ, of G × G, where p is a prime.

Original languageEnglish (US)
Pages (from-to)193-198
Number of pages6
JournalInformation sciences
Volume56
Issue number1-3
DOIs
StatePublished - Aug 1991

All Science Journal Classification (ASJC) codes

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

Fingerprint Dive into the research topics of 'A note on fuzzy relations and fuzzy groups'. Together they form a unique fingerprint.

  • Cite this