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 İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 411
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1016/j.ins.2017.05.020
  • Sayfa Sayıları: ss.39-51


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.