More on fuzzy lattices


Kazanci O., Davvaz B.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.64, sa.9, ss.2917-2925, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 64 Konu: 9
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.camwa.2012.05.006
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Sayfa Sayıları: ss.2917-2925

Özet

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.