Name
Abstract | ||
|---|---|---|
This paper presents a detailed study of two classes of operators on a finite totally ordered set of labels L: t-operators and uninorms. Both kinds of operators (on [0,1]) are introduced as generalizations of t-norms and t-conorms. We characterize these operators on L as special combinations of operators of directed algebras in a similar way as they are characterized in the case of [0, 1] as special combinations of t-norms and t-conorms. We also study duality of these operators with respect to the only negation N on L, and we give the number of different t-operators and uninorms that exist on L, related to the number of elements in L. (C) 1999 John Wiley & Sons, Inc. |
Year | DOI | Venue |
|---|---|---|
1999 | 10.1002/(SICI)1098-111X(199909)14:9<909::AID-INT4>3.0.CO;2-B | INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS |
Field | DocType | Volume |
T-norm,Discrete mathematics,Ordered set,Negation,Generalization,Fuzzy logic,Total order,Duality (optimization),Operator (computer programming),Mathematics | Journal | 14 |
Issue | ISSN | Citations |
9 | 0884-8173 | 49 |
PageRank | References | Authors |
3.21 | 1 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. Mas | 1 | 855 | 49.96 |
| J. Torrens | 2 | 697 | 38.56 |
| J. Torrens | 3 | 49 | 3.21 |