On a class of residuated semilattice monoids

  • Authors:
  • P. Flondor;M. Sularia

  • Affiliations:
  • Department of Mathematics II, Polytechnic University of Bucharest, Splaiul Independentei St. 313, 77206 Bucharest, Romania;Department of Mathematics II, Polytechnic University of Bucharest, Splaiul Independentei St. 313, 77206 Bucharest, Romania

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2003

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Abstract

In this paper, we consider the structure of residuated join semilattice monoid and we study its first properties. The class of residuated join semilattice monoids is a variety of algebras. A representation of this structure as residuated mappings is given. Then we present the notion of normal filter together with a characterization theorem of homomorphic images based on this notion. Different classes of residuated join semilattice monoids are introduced.