| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 10324333 | Fuzzy Sets and Systems | 2005 | 18 Pages |
Abstract
In this paper we embed the space of upper semicontinuous convex fuzzy sets on a Banach space into a space of continuous functions on a compact space. The following structures are preserved by the embedding: convex cone, metric, sup-semilattice. The indicator function of the unit ball is mapped to the constant function 1. Two applications are presented: strong laws of large numbers for fuzzy random variables and Korovkin type approximation theorems.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Pedro Terán,