Title :
The distance between fuzzy sets in fuzzy metric spaces
Author :
Minxia Luo; Ze Cheng
Author_Institution :
Sch. of Sci., China Jiliang Univ., Hangzhou, China
Abstract :
We focus on the distance in fuzzy metric space. The general distance of general fuzzy sets are introduced. Some properties of Chebyshev distance of general fuzzy sets and normalized Hamming distance of general fuzzy sets are studied. Furthermore, some special metrics of two fuzzy interval valued sets are introduced. We give the source of the two forms of moore distance. Finaly, in Hausdorff metric space, the normalized Hamming distance are investigated. This research will provide the necessary tools for approximate reasoning.
Keywords :
"Fuzzy sets","Measurement","Hamming distance","Chebyshev approximation","Fuzzy logic","Silicon","Chlorine"
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2015 12th International Conference on
DOI :
10.1109/FSKD.2015.7381938