On the structure of uninorms on bounded lattices
FUZZY SETS AND SYSTEMS, vol.357, pp.2-26, 2019 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 357
- Publication Date: 2019
- Doi Number: 10.1016/j.fss.2018.07.012
- Journal Name: FUZZY SETS AND SYSTEMS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.2-26
- Keywords: Bounded lattice, Uninorm, Idempotent uninorm, Neutral element, t-norm, t-conorm, IDEMPOTENT UNINORMS, OPERATORS, ORDER
- Karadeniz Technical University Affiliated: Yes
Abstract
Uninorms are a generalization of triangular norms and triangular conorms with a neutral element in the interior of a bounded lattice. In this study, we present two methods to construct uninorms from a given triangular norm and triangular conorm on bounded lattices under some constraints. As a by-product of these methods, we obtain new types of idempotent uninorms with a neutral element on bounded lattices. In addition, some illustrative examples for the constructions of uninorms on bounded lattices are provided. (C) 2018 Elsevier B.V. All rights reserved.