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On fuzzy subgroups

Authors
Journal
Fuzzy Sets and Systems
0165-0114
Publisher
Elsevier
Publication Date
Volume
55
Issue
2
Identifiers
DOI: 10.1016/0165-0114(93)90137-7
Keywords
  • Semisimple Semigroup
  • Fuzzy Subgroup
  • Product Of Fuzzy Subgroups
  • Fuzzy Normal Subgroup
Disciplines
  • Communication

Abstract

Abstract In this communication, we prove that ( N( G), °) where N( G) is the set of all fuzzy normal subgroups of G, is a commutative idempotent semisimple semigroup. Also we give a fuzzy analog of the following well known result: If G is a group, H, L and K are subgroups of G such that H ⊆ L ⊆ G and K ⊆ G, then L ∩ ( HK) = H( L ∩ K).

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