Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
389719 | Fuzzy Sets and Systems | 2014 | 18 Pages |
Abstract
We characterize the convergence of fuzzy sets in the supremum metric given by the supremum of the Hausdorff distances of the α-cuts of the fuzzy sets. We do it by dividing this metric into its lower and upper quasi-pseudometric parts. This characterization is given in the more general context with no assumption on the fuzzy sets. Furthermore, motivated from the theory of Convex Analysis, we also provide some results about the behavior of the convergence in the supremum metric with respect to maximizers.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Tatiana Pedraza, Jesús Rodríguez-López, Salvador Romaguera,