Order-equivalent triangular norms

Kesicioglu M. N., KARAÇAL F., MESIAR R.

FUZZY SETS AND SYSTEMS, cilt.268, ss.59-71, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 268
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.fss.2014.10.006
  • Dergi Adı: FUZZY SETS AND SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.59-71
  • Anahtar Kelimeler: Triangular norm, Bounded lattice, T-partial order, Divisibility, DISTRIBUTIVE T-NORMS, PRODUCT LATTICES, DIRECT DECOMPOSABILITY
  • Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

In this paper, an equivalence relation on the class of t-norms induced by a T-partial order is provided and discussed. The equivalence classes linked to some special t-norms are characterized as well as some properties preserved by the introduced equivalence. Defining the set of incomparable elements with respect to the T-partial order, this set is deeply investigated. Finally, we give an answer to a recently posed open problem. (C) 2014 Elsevier B.V. All rights reserved.