A theory of vague lattices based on many-valued equivalence relations - I: general representation results


Demirci M.

FUZZY SETS AND SYSTEMS, vol.151, no.3, pp.437-472, 2005 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 151 Issue: 3
  • Publication Date: 2005
  • Doi Number: 10.1016/j.fss.2004.06.017
  • Journal Name: FUZZY SETS AND SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.437-472
  • Keywords: lattice, fuzzy lattice, fuzzy ordering, fuzzy equivalence relation, fuzzy equality, indistinguishability operator, FUZZY FUNCTIONS, PART II, ALGEBRA, FOUNDATIONS, CONSTRUCTIONS
  • Akdeniz University Affiliated: Yes

Abstract

The present work introduces a new and general theory of ordering relations and lattices based on many-valued equivalence relations under the name vague ordering relations and vague lattices, respectively. Representations and constructions of vague ordering relations and vague lattices are the main subjects of this paper, and various desirable results in this direction are established. Furthermore algebraic characterizations of vague lattices are studied. (c) 2004 Elsevier B.V. All rights reserved.