期刊
INFORMATION SCIENCES
卷 367, 期 -, 页码 221-231出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2016.05.036
关键词
Bounded lattice; Idempotent uninorm; Neutral element; Uninorm
资金
- NPUII project [LQ1602]
- [VEGA 1/0420/15]
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.
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