Some properties of Skorokhod metric on fuzzy sets

This paper discusses the properties of Skorokhod metric on normal and upper semi-continuous fuzzy sets space. All mentioned below refer to this type sets. We confirm that enhanced-type are equivalent compact However, not necessarily L p -integrable sets, which include point out -type d metric, ≥ 1 , is well-defined in common cases but always all introduce ⁎ an expansion write as sequel. Then, we investigate relationship between these two Skorokhod-type metrics metric. show can be divided into three cases. On stronger than still even also sendograph At last, give a simple example answer some recent questions involved