An equivalence relation based on the U-partial order

KESICIOGLU M. N., ERTUĞRUL Ü., KARAÇAL F.

INFORMATION SCIENCES, cilt.411, ss.39-51, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 411
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1016/j.ins.2017.05.020
  • Dergi Adı: INFORMATION SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.39-51
  • Anahtar Kelimeler: Uninorm, Bounded lattice, Partial order, Equivalence of uninorms, AGGREGATION OPERATORS, BOUNDED LATTICES, TRIANGULAR NORMS, RIGHT UNINORMS
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper, an equivalence relation on the class of uninorms induced by the U-partial order is discussed. Defining the set of all incomparable elements w.r.t. the U-partial order, this set is deeply investigated and some relations with the sets of all incomparable elements w.r.t. the orders induced by the corresponding underlying t-norm and t-conorm are presented. Also, the set of all incomparable elements with a fixed element w.r.t. the U-partial order is defined and studied in detail. (C) 2017 Elsevier Inc. All rights reserved.