Name
Abstract | ||
|---|---|---|
In this paper it is investigated when some kinds of fuzzy implication functions derived from uninorms satisfy the Modus Ponens with respect to a continuous t-norm T, or equivalently, when they are T-conditionals. The study is done for RU-implications and ( U , N ) -implications with N a continuous fuzzy negation leading to a lot of solutions in both cases. For RU-implications T-conditionality only depends on the underlying t-norm of the uninorm used to derive the residual implication. On the contrary, for ( U , N ) -implications the underlying t-norm is never relevant and only the region out of the t-norm is so. Even the t-conorm can be not relevant also in some cases. Characterization of all residual implications for uninorms satisfying Modus Ponens.Study of Modus Ponens for ( U , N ) -implications.Modus Ponens (T-conditionality) for implications generated from uninorms. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1016/j.ijar.2016.01.003 | International Journal of Approximate Reasoning |
Keywords | Field | DocType |
Fuzzy implication function,Residual implication,(S,N)-implication,Modus Ponens,Uninorm | Discrete mathematics,Residual,Modus ponens,Fuzzy implication,Residual implication,Fuzzy negation,Mathematics | Journal |
Volume | Issue | ISSN |
73 | C | 0888-613X |
Citations | PageRank | References |
10 | 0.57 | 18 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. Mas | 1 | 855 | 49.96 |
| Miquel Monserrat | 2 | 151 | 11.11 |
| Daniel Ruiz-Aguilera | 3 | 345 | 25.56 |
| Joan Torrens | 4 | 1259 | 92.67 |