Some notes on the partial orders induced by a uninorm and a nullnorm in a bounded lattice

Kesicioglu M. N.

FUZZY SETS AND SYSTEMS, cilt.346, ss.55-71, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 346
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1016/j.fss.2017.08.010
  • Dergi Adı: FUZZY SETS AND SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.55-71
  • Anahtar Kelimeler: Nullnorm, Bounded lattice, Partial order, Equivalence, Uninorm, T-PARTIAL ORDER, AGGREGATION OPERATORS, TRIANGULAR NORMS
  • Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

In this paper, an equivalence on the class of nullnorms on a bounded lattice is discussed. Some relationships between the U and V-partial orders are investigated. A necessary and sufficient condition making a bounded lattice also a lattice w.r.t. the V-partial order is given. Moreover, the relation between the algebraic structures related to the U and V-partial orders is studied. (C) 2017 Elsevier B.V. All rights reserved.