The embedding of an ordered groupoid into a poe-groupoid in terms of fuzzy sets

  • Authors:

  • Niovi Kehayopulu;Michael Tsingelis

  • Affiliations:

  • Department of Mathematics, University of Athens, Panepistimiopolis, 157 84 Athens, Greece;Department of Mathematics, University of Athens, Panepistimiopolis, 157 84 Athens, Greece

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2003

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Abstract

In this paper we prove that if S is an ordered groupoid (resp. ordered semigroup), then the set F of all fuzzy subsets of S is a poe-groupoid (resp. poe-semigroup) and S is embedded in F . A poe-groupoid is an ordered groupoid having a greatest element "e" (i.e. e ≥ a ∀a ∈ S) .