A note on fuzzy relations and fuzzy groups

Davender S. Malik, John N. Mordeson

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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
Pages (from-to)193-198
Number of pages6
JournalInformation Sciences
Volume56
Issue number1-3
DOIs
Publication statusPublished - 1991

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All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Computer Science Applications
  • Information Systems
  • Information Systems and Management
  • Statistics, Probability and Uncertainty
  • Electrical and Electronic Engineering
  • Statistics and Probability

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