8 papers · 1 filter
Properties of several metric spaces of fuzzy sets
Huan Huang
This paper discusses the properties the spaces of fuzzy sets in a metric space equipped with the endograph metric and the sendograph metric, respectively. We first give some relati…
Characterizations of compactness of fuzzy set space with endograph metric
Huan Huang
In this paper, we present the characterizations of total boundedness, relative compactness and compactness in fuzzy set spaces equipped with the endograph metric. The conclusions i…
Properties of fuzzy set spaces with metrics
Huan Huang
This paper discusses the properties of the spaces of fuzzy sets in a metric space with -type metrics, . The metrics are well-defined if and only if the co…
Relations of endograph metric and -convergence on fuzzy sets
Huan Huang
This paper shows that the endograph metric and the -convergence are compatible on a large class of fuzzy set in .
Properties of several fuzzy set spaces
Huan Huang
This paper discusses the properties the spaces of fuzzy sets in a metric space equipped with the endograph metric and the sendograph metric, respectively. We fist give some relatio…
Some properties of Skorokhod metric on fuzzy sets
Huan Huang
In this paper, we have our discussions on normal and upper semi-continuous fuzzy sets on metric spaces. The Skorokhod-type metric is stronger than the Skorokhod metric. It is found…