Some results about nullnorms on bounded lattices

ÇAYLI G. D.

FUZZY SETS AND SYSTEMS, vol.386, pp.105-131, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 386
  • Publication Date: 2020
  • Doi Number: 10.1016/j.fss.2019.03.010
  • 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.105-131
  • Keywords: Bounded lattice, Idempotent nullnorm, Nullnorm, t-norm, t-conorm, Zero element, IDEMPOTENT NULLNORMS, T-OPERATORS, UNINORMS, DISTRIBUTIVITY, EQUATIONS, ORDER
  • Karadeniz Technical University Affiliated: Yes

Abstract

Nullnorms as a generalization of the concepts of t-norms and t-conorms admit a zero element to be any element in a bounded lattice. In this paper, we discuss the characterization of idempotent nullnorms on bounded lattices and investigate some of the main properties of them. We propose some new methods yielding nullnorms, in particular idempotent nullnorms, on bounded lattices with the fixed zero element under some additional constraints. Moreover, some illustrative examples are presented to demonstrate the feasibility of the proposed methods. (C) 2019 Elsevier B.V. All rights reserved.