Name
Abstract | ||
|---|---|---|
Modus Ponens is a key property for fuzzy implication functions that are going to be used in fuzzy inference processes. In this paper it is investigated when fuzzy implication functions derived from uninorms via residuation, usually called RU-implications, satisfy the modus ponens with respect to a continuous t-norm T, or equivalently, when they are T-conditionals. For RU-implications it is proved that T-conditionality only depends on the underlying t-norm TU of the uninorm U used to derive the residual implication and this fact leads to a lot of new solutions of the Modus Ponens property. Along the paper the particular cases when the uninorm lies in any of the most usual classes of uninorms are considered. |
Year | Venue | Keywords |
|---|---|---|
2015 | PROCEEDINGS OF THE 2015 CONFERENCE OF THE INTERNATIONAL FUZZY SYSTEMS ASSOCIATION AND THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY | Fuzzy implication function,residual implication,Modus Ponens,uninorm |
Field | DocType | Volume |
Discrete mathematics,Residual,Deduction theorem,Modus ponens,Algebra,Fuzzy implication,Residual implication,Fuzzy inference,Modus ponendo tollens,Mathematics | Conference | 89 |
ISSN | Citations | PageRank |
1951-6851 | 2 | 0.39 |
References | Authors | |
11 | 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 |