More on fuzzy lattices

  • Authors:
  • O. Kazancı;B. Davvaz

  • Affiliations:
  • Department of Mathematics, Karadeniz Technical University, 61080, Trabzon, Turkey;Department of Mathematics, Yazd University, Yazd, Iran

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2012

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Abstract

In this paper, the concept of an (@?,@?@?q"k)-fuzzy sublattice (ideal, filter) and (@?@?,@?@?@?q@?"k)-fuzzy sublattice (ideal, filter) in a lattice is introduced, which is a generalization of the concept as given by Davvaz and Kazanci(2011) [18]. Characterizations for an (@?,@?@?q"k)-fuzzy sublattice (ideal, filter) and (@?@?,@?@?@?q@?"k)-fuzzy sublattice (ideal, filter) are provided. Different classes of lattices are characterized by the properties of these fuzzy sublattices (ideals, filters). Using the notions of a fuzzy sublattice (ideal, filter) with thresholds, characterization of a fuzzy sublattice (ideal, filter), an (@?,@?@?q"k)-fuzzy sublattice (ideal, filter) and (@?@?,@?@?@?q@?"k)-fuzzy sublattice (ideal, filter) are discussed.