On a new class of uninorms on bounded lattices
INFORMATION SCIENCES, vol.367, pp.221-231, 2016 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 367
- Publication Date: 2016
- Doi Number: 10.1016/j.ins.2016.05.036
- Journal Name: INFORMATION SCIENCES
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.221-231
- Keywords: Bounded lattice, Idempotent uninorm, Neutral element, Uninorm, FUZZY-SET THEORY, TRIANGULAR NORMS, OPERATORS, OPERATIONS, UNIFORMS, CONORMS
- Karadeniz Technical University Affiliated: Yes
Abstract
We study and propose some new construction methods to obtain uninorms on bounded lattices. Considering an arbitrary bounded lattice L, we show the existence of idempotent uninorms on L for any element e is an element of L\{0, 1} playing the role of a neutral element. By our construction method, we obtain the smallest idempotent uninorm and the greatest idempotent uninorm with the neutral element e is an element of L\{0, 1}. We see that the obtained uninorms are conjunctive and disjunctive uninorms, respectively. On the other hand, if L is not a chain, we also provide an example of an idempotent uninorm which is neither conjunctive nor disjunctive. (C) 2016 Elsevier Inc. All rights reserved.