Strict fuzzy orderings with a given context of similarity

Bodenhofer U., DEMİRCİ M.

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, cilt.16, sa.2, ss.147-178, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 2
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1142/s021848850800511x
  • Dergi Adı: INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.147-178
  • Anahtar Kelimeler: fuzzy equivalence relations, fuzzy orderings, fuzzy relations, partial fuzzy orderings, strict fuzzy orderings, VALUED EQUIVALENCE-RELATIONS, PREFERENCE STRUCTURES, LUKASIEWICZ TRIPLETS, BINARY RELATIONS, T-NORMS, SETS, DEFINITION, PARTITIONS, LATTICES, AXIOMS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

This paper introduces strict fuzzy orderings in the framework of similarity-based fuzzy orderings, i.e. where a context of similarity/indistinguishability is given by means of a fuzzy equivalence relation. We consider how to construct strict fuzzy orderings from partial fuzzy orderings and vice versa. The appropriateness of the concepts introduced in this paper is underlined by theoretical results and examples. We observe that the strongest results are achieved if the underlying triangular norm induces an involutive residual negation.