Title :
On the Completions of Fuzzy Number Space with Respect to Sendograph Metric
Author :
Fan, Taihe ; Fan, Lihong
Author_Institution :
Dept. of Math., Zhejiang Sci-Tech Univ., Hangzhou, China
Abstract :
The sendograph metric on the space of fuzzy numbers is known to be separable, but not complete. This paper deals with the completion of the sendograph metric. The completion of fuzzy number space with respect to the sendograph metric is constructed. Also, a uniformly equivalent description of the sendograph metric is given which reveals the internal relation between the sendograph and endograph metrics.
Keywords :
fuzzy set theory; endograph metrics; fuzzy number space; sendograph metric; Extraterrestrial measurements; Fuzzy sets; Fuzzy systems; Level set; Mathematics;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery, 2009. FSKD '09. Sixth International Conference on
Conference_Location :
Tianjin
Print_ISBN :
978-0-7695-3735-1
DOI :
10.1109/FSKD.2009.358
