| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6858994 | International Journal of Approximate Reasoning | 2013 | 12 Pages |
Abstract
Fuzzy operations acting on entire fuzzy sets with the stress on fuzzy implications are discussed and studied. In the case of binary operations, the input fuzzy sets are fuzzy subsets of possibly different universal spaces X and Y, and the output fuzzy set is a fuzzy subset of the Cartesian product XÃY. The standard approach to fuzzy operations is based on functions acting on [0,1], and then these fuzzy operations are called functionally expressible. We give a characterization of functionally expressible fuzzy implications (and other fuzzy operations), and include several examples of fuzzy operations which are not functionally expressible.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Sebastia Massanet, Gaspar Mayor, Radko Mesiar, Joan Torrens,