Title :
Moment inequalities for hybrid events with fuzziness and randomness
Author_Institution :
Sch. of Math. & Comput. Sci., Huanggang Normal Univ., Huanggang, China
Abstract :
In many cases, fuzziness and randomness simultaneously appear in a system. Hybrid variable is a tool to describe this phenomena. Fuzzy random variable and random fuzzy variable are instances of hybrid variable. In order further to discuss the properties of hybrid variables, several useful moment inequalities for hybrid variables are established based on the concepts of chance measures in this paper. This may enlarge the applications of hybrid variable and chance theory.
Keywords :
fuzzy set theory; random processes; chance theory; fuzzy random variable; hybrid variable; moment inequalities; random fuzzy variable; Convex functions; Educational institutions; Programming; 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.2011.6019515