On the constructions of t-norms on bounded lattices
| Autor: | Xiang-Rong Sun, Hua-Wen Liu |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Discrete mathematics
Information Systems and Management Generalization 05 social sciences 050301 education 02 engineering and technology Type (model theory) Computer Science Applications Theoretical Computer Science Artificial Intelligence Control and Systems Engineering Bounded function 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Ordinal sum 0503 education Software Mathematics |
| Zdroj: | Information Sciences. 575:173-184 |
| ISSN: | 0020-0255 |
| DOI: | 10.1016/j.ins.2021.06.027 |
| Popis: | In this paper, we first generalize some constructions of t-norms on bounded lattices by using order-preserving functions and propose the necessary and sufficient conditions for this kind of construction. Then, we simplify these conditions for practical use. Based on these results, we propose a new type of ordinal sum construction for t-norms. It can be regarded as a generalization of h-ordinal sum. Some examples and comparisons are also provided. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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