On the relationships between the orders induced by uninorms and nullnorms

Kesicioglu M. N.

FUZZY SETS AND SYSTEMS, vol.378, pp.23-43, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 378
  • Publication Date: 2020
  • Doi Number: 10.1016/j.fss.2018.12.020
  • Journal Name: FUZZY SETS AND SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, zbMATH
  • Page Numbers: pp.23-43
  • Keywords: Bounded lattice, Nullnorm, Uninorm, U-partial order, V-partial order, T-partial order, T-PARTIAL ORDER, EQUIVALENCE, OPERATORS
  • Recep Tayyip Erdoğan University Affiliated: Yes

Abstract

In this paper, some relationships between the orders induced by uninorms and nullnorms are discussed. Some relations between the sets admitting some incomparability w.r.t. those orders are investigated. Also, some relationships between the algebraic structures obtained from those orders are determined. (C) 2019 Published by Elsevier B.V.