Characterizations of residual implications derived from uni-nullnorms
| Autor: | Xiao-bing Qu, Xue-jun Huang, Feng Sun |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
Pure mathematics Applied Mathematics 02 engineering and technology Characterization (mathematics) Residual Fuzzy logic Computational Mathematics 020901 industrial engineering & automation 0202 electrical engineering electronic engineering information engineering Independence (mathematical logic) 020201 artificial intelligence & image processing Axiom Mathematics |
| Zdroj: | Computational and Applied Mathematics. 39 |
| ISSN: | 1807-0302 2238-3603 |
| DOI: | 10.1007/s40314-020-1135-7 |
| Popis: | Uni-nullnorms generalize both uninorms and nullnorms. In this paper, residual implications derived from uni-nullnorms are investigated. First, properties of residual implications derived from uni-nullnorms and left-continuous uni-nullnorms are studied. Then, it is characterized for which uni-nullnorms the residuated operations are fuzzy implications. Finally, an axiomatic characterization of residual implications derived from left-continuous uni-nullnorms is given and the mutual independence of the properties in this characterization is investigated. |
| Databáze: | OpenAIRE |
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