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

Demirci M.

FUZZY SETS AND SYSTEMS, cilt.151, sa.3, ss.437-472, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 151 Sayı: 3
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.fss.2004.06.017
  • Dergi Adı: FUZZY SETS AND SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.437-472
  • Anahtar Kelimeler: lattice, fuzzy lattice, fuzzy ordering, fuzzy equivalence relation, fuzzy equality, indistinguishability operator, FUZZY FUNCTIONS, PART II, ALGEBRA, FOUNDATIONS, CONSTRUCTIONS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.