Current Location:home > Detailed Browse

# Properties of several fuzzy set spaces

Submit Time: 2021-11-27
Author:
Institute: 1.Jimei University;

## Abstracts

 This paper discusses the properties the spaces of fuzzy sets in a metric s- pace equipped with the endograph metric and the sendograph metric, re- spectively. We fist discuss the level characterizations of the Γ-convergence and the endograph metric, and point out the elementary relationships among Γ-convergence, endograph metric and the sendograph metric. On the basis of these results, we present the characterizations of total boundedness, rel- ative compactness and compactness in the space of compact positive α-cuts fuzzy sets equipped with the endograph metric, and in the space of com- pact support fuzzy sets equipped with the sendograph metric, respectively. Furthermore, we give completions of these two kinds of spaces, respectively.
From: Huan Huang
DOI：10.12074/202107.00011
Recommended references： Huan Huang.(2021).Properties of several fuzzy set spaces.[ChinaXiv:202107.00011] (Click&Copy)
Version History
Related Paper