| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 392151 | Information Sciences | 2013 | 13 Pages |
Abstract
In this paper residual implications defined on the set of discrete fuzzy numbers whose support is a set of consecutive natural numbers are studied. A specific construction of these implications is given and some examples are presented showing in particular that such a construction generalizes the case of interval-valued residual implications. The most usual properties for these operations are investigated leading to a residuated lattice structure on the set of discrete fuzzy numbers, that in general is not an MTL-algebra.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
J. Vicente Riera, Joan Torrens,