More on fuzzy lattices


Kazanci O., Davvaz B.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol.64, no.9, pp.2917-2925, 2012 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 64 Issue: 9
  • Publication Date: 2012
  • Doi Number: 10.1016/j.camwa.2012.05.006
  • Title of Journal : COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Page Numbers: pp.2917-2925

Abstract

In this paper, the concept of an (is an element of, is an element of boolean OR q(k))-fuzzy sublattice (ideal, filter) and ((is an element of) over bar, (is an element of) over bar boolean OR (q) over bar (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 (is an element of, is an element of boolean OR q(k))-fuzzy sublattice (ideal, filter) and ((is an element of) over bar, (is an element of) over bar boolean OR (q) over bar (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 (is an element of, is an element of boolean OR q(k))-fuzzy sublattice (ideal, filter) and ((is an element of) over bar, (is an element of) over bar boolean OR (q) over bar (k))-fuzzy sublattice (ideal, filter) are discussed. (c) 2012 Elsevier Ltd. All rights reserved.