IJPAM: Volume 49, No. 1 (2008)

ON THE PROBABILITY IN SUGENO MEASURE
SPACE BASED ON $\sigma-\lambda$ RULES

Chen Li$^1$, Gong Zengtai$^2$, Duan Gang$^3$
$^1$College of Mathematics and Information Science
Northwest Normal University
Lanzhou, 730070, P.R. CHINA
e-mail: gongzt@ nwnu.edu.cn
$^2$Department of Mathematics
Lanzhou City University
Lanzhou, 730070, P.R. CHINA
e-mail: chenl@ lztc.edu.cn
$^3$School of Traffic and Transportation
Lanzhou Jiaotong University
Lanzhou, 730070, P.R. CHINA
e-mail: duangang77@ yahoo.com.cn


Abstract.This paper provides characteristic theorem of Sugeno measures based on $\sigma-\lambda$ rules. Then, definitions and properties of multidimensional random variables and their distribution function on Sugeno measures space are given.

Received: July 24, 2008

AMS Subject Classification: 15A22, 68Q40

Key Words and Phrases: Sugeno measures, random variables, distribution function

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 49
Issue: 1