Elsevier

Fuzzy Sets and Systems

Volume 123, Issue 2, 16 October 2001, Pages 191-195
Fuzzy Sets and Systems

A characterization of compact subsets of fuzzy number space

https://doi.org/10.1016/S0165-0114(00)00097-XGet rights and content

Abstract

In this paper, a characterization of compact subsets on the space of fuzzy numbers endowed with the Skorokhod topology is presented. This characterization is an analogue of the Arzela–Ascoli theorem which characterizes compact subsets of the space C[0,1].

References (9)

There are more references available in the full text version of this article.

Cited by (6)

  • Compactness and convexity on the space of fuzzy sets

    2001, Journal of Mathematical Analysis and Applications
View full text