Continuity theorems and chance distribution of random fuzzy variables

2004 ◽  
Vol 460 (2049) ◽  
pp. 2505-2519 ◽  
Author(s):  
Yuanguo Zhu ◽  
Baoding Liu
Keyword(s):  
Fuzzy Variables ◽  
Chance Distribution ◽  
Random Fuzzy Variables

A SUFFICIENT AND NECESSARY CONDITION FOR CHANCE DISTRIBUTIONS OF RANDOM FUZZY VARIABLES

2007 ◽  
Vol 15 (supp02) ◽  
pp. 21-28 ◽  
Author(s):  
YUANGUO ZHU ◽  
BAODING LIU
Keyword(s):  
Mathematical Description ◽  
Fuzzy Variable ◽  
Random Variables ◽  
Necessary Condition ◽  
Random Fuzzy Variable ◽  
Fuzzy Variables ◽  
Chance Distribution ◽  
Random Fuzzy Variables ◽  
Sufficient And Necessary Condition

A random fuzzy variable is a function from a credibility space to the set of random variables. Chance distribution is a type of mathematical description of random fuzzy variables. This paper presents a sufficient and necessary condition for chance distributions of random fuzzy variables.

ANALYSIS AND ALGORITHMS OF BIFUZZY SYSTEMS

2004 ◽  
Vol 12 (03) ◽  
pp. 357-376 ◽  
Author(s):  
JIAN ZHOU ◽  
BAODING LIU
Keyword(s):  
Numerical Experiments ◽  
Fuzzy Variable ◽  
Expected Value ◽  
Real Numbers ◽  
Fuzzy Variables ◽  
Chance Distribution ◽  
Expected Value Operator ◽  
Possibility Space ◽  
Bifuzzy Variable

A fuzzy variable is a function from a possibility space to the set of real numbers, while a bifuzzy variable is a function from a possibility space to the set of fuzzy variables. In this paper, a concept of chance distribution is originally presented for bifuzzy variable, and the linearity of expected value operator of bifuzzy variable is proved. Furthermore, bifuzzy simulations are designed and illustrated by some numerical experiments.

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