An embedding theorem for convex fuzzy sets
نویسنده
چکیده
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.
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ورودعنوان ژورنال:
- Fuzzy Sets and Systems
دوره 152 شماره
صفحات -
تاریخ انتشار 2005