A New Kind of Fuzzy Sublattice (Ideal, Filter) of A Lattice

Davvaz B., Kazanci O.

INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, vol.13, no.1, pp.55-63, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 13 Issue: 1
  • Publication Date: 2011
  • Journal Name: INTERNATIONAL JOURNAL OF FUZZY SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.55-63
  • Keywords: fuzzy set, fuzzy point, lattice, fuzzy sublattice, (is an element of,is an element of boolean OR q) -fuzzy sublattice, level set
  • Karadeniz Technical University Affiliated: No

Abstract

Our aim in this paper is to introduce and study a new sort of fuzzy sublattice (ideal, filter) of a lattice called (is an element of,is an element of boolean OR q) -fuzzy sublattice (ideal, filter). These fuzzy sublattices (ideals, filters) are characterized by their level sublattices (ideals, filters). Finally, we give a generalization of (is an element of, is an element of boolean OR q) -fuzzy sublattices (ideals, filters).