| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 391135 | Fuzzy Sets and Systems | 2007 | 4 Pages |
Abstract
In this note a new solution of problem of Synthesis of fuzzy sets is presented. In other words, necessary and sufficient conditions are formulated, under which for a given family of subsets F of a set X and a fixed complete lattice L there is a fuzzy set μ:X→L, such that the collection of cuts of μ coincides with F. Moreover, it is proved that the general form of lattice-valued fuzzy sets (considering families of cuts) are the type of fuzzy sets having the codomain {0,1}c for a suitable chosen cardinal c.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
