2 citations · 5 across the 15 of their papers we have counts for
15 papers
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…
Some notes on approximately greater than relations on fuzzy sets
Huan Huang
We consider approximately greater than relations on fuzzy sets and discuss their properties.
Characterizations of endograph metric and -convergence on fuzzy sets
Huan Huang
This paper is devoted to the relationships and properties of the endograph metric and the -convergence. The main contents can be divided into three closely related parts. Firstl…
A countable set derived by fuzzy set
Huan Huang
In this paper, it shows that for each fuzzy set on , the set is at most countable. Based on this, it modifies the proof of assertion (I) in step 2 of the s…
Approximation of fuzzy numbers by convolution method
Huan Huang, Congxin Wu
In this paper we consider how to use the convolution method to construct approximations, which consist of fuzzy numbers sequences with good properties, for a general fuzzy number.…
Characterizations of compact sets in fuzzy sets spaces with metric
Huan Huang, Congxin Wu
In this paper, we present characterizations of totally bounded sets, relatively compact sets and compact sets in the fuzzy sets spaces and …
Characterizations of precompact sets in fuzzy star-shaped numbers space with Lp-metric
Huan Huang
In this paper, we consider the characterizations of precompact sets in fuzzy star-shaped number space with Lp-metric.
Approximation capability of the convolution methods for fuzzy numbers
Huan Huang
This paper shows that how to approximate general fuzzy number by using convolution method.
The properties of sendograph metric on fuzzy number spaces
Huan Huang
This paper discusses the variation of sendograph distances under some algebra operations.
Some notes on characterizations of compact sets in fuzzy number spaces
Huan Huang, Congxin Wu
In this paper, we presents a characterization of compact subsets of the fuzzy number space equipped with the level convergence topology. Based on this, it is shown that compactness…