Computing the Mean Chance Distributions of Fuzzy Random Variables∗
نویسندگان
چکیده
Fuzzy random variable is a combination of fuzzy variable and random variable, and can characterize both fuzziness and randomness in the real world. The mean chance of a fuzzy random event is an important concept in fuzzy random optimization, just like the probability of a stochastic event in stochastic optimization and the credibility of a fuzzy event in fuzzy optimization. In fuzzy random programming, the constraints are always represented by the mean chance function of fuzzy random events, so it is difficult to solve them directly. In this paper, we deduce the formulas for the mean chance of fuzzy random events in some special cases such as the fuzzy random variables are trapezoidal fuzzy random variables for normal fuzzy random variables. The obtained formulas are very useful in fuzzy random optimization problems when we design algorithm to solve them. c ©2008 World Academic Press, UK. All rights reserved.
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