Uninorms on bounded lattices

KARAÇAL F., Mesiar R.

FUZZY SETS AND SYSTEMS, vol.261, pp.33-43, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 261
  • Publication Date: 2015
  • Doi Number: 10.1016/j.fss.2014.05.001
  • Journal Name: FUZZY SETS AND SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.33-43
  • Karadeniz Technical University Affiliated: Yes

Abstract

We study uninorms on bounded lattices. We show the existence of uninorms with the neutral element which is different from the top element and the bottom element using the fact that the t-norms and t-conorms on arbitrary lattice L always exist. As a by-product we give a method of constructing uninorms. Using this method, we obtain also the smallest uninorm and the greatest uninorm with a given neutral element e. (C) 2014 Elsevier B.V. All rights reserved.