Name
Abstract | ||
|---|---|---|
Over the last years, several generalizations of Yager's f and g-generated implications have been proposed in the literature expanding the number of available families of fuzzy implication functions. Among them, the so-called (f, g) and (g, f)-implications were introduced by means of generalizing the internal functions x and 1/x of the standard Yager's f and g-generated implications to more general unary functions. In particular, those generated using x/e and e/x with e is an element of (0, 1) stand out due to their key role in the structure of (h, e)-implications. In this paper, the characterizations of the (f, x/e)-implications are presented. These characterizations, which rely on two properties closely related to the law of importation, will be crucial in order to achieve a fully axiomatic characterization of (h, e)-implications. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1007/978-3-319-91473-2_54 | Communications in Computer and Information Science |
Keywords | Field | DocType |
Fuzzy implication function,Generalized Yager's implications,(f, e)-generated implications,Law of importation | Law of importation,Combinatorics,Fuzzy implication,Unary operation,Axiom,Mathematics | Conference |
Volume | ISSN | Citations |
853 | 1865-0929 | 1 |
PageRank | References | Authors |
0.35 | 13 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Raquel Fernandez-Peralta | 1 | 1 | 1.02 |
| Sebastià Massanet | 2 | 438 | 34.95 |