Title :
On the expected value of ℬ-valued random fuzzy variable
Author :
Juan Wen ; Hongyan Ma ; Lixing Yang
Author_Institution :
Sch. of Traffic & Transp., Beijing Jiaotong Univ., Beijing, China
Abstract :
The notion of ℬ-valued random fuzzy variable is introduced in this paper, which is defined as a function from the credibility space to the set of ℬ-valued random variables. Then, the expected value and variance of ℬ-valued random fuzzy variable are defined. Some important mathematical properties of ℬ-valued random fuzzy variable are obtained, for instance, the uniqueness and the linearity of the expected value.
Keywords :
fuzzy set theory; random processes; ℬ-valued random fuzzy variable; Bismuth; Educational institutions; Extraterrestrial measurements; Fuzzy set theory; Linearity; Random variables; Uncertainty;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2011 Eighth International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-61284-180-9
DOI :
10.1109/FSKD.2011.6019500
