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22nd International Conference of the North American Fuzzy Information Processing Society, NAFIPS 2003
A cumulative distribution function (CDF) states the probability that a sample of a random variable will be no greater than a value x, where x is a real value. Closed form expressions for important CDFs have parameters, such as mean and variance. If these parameters are not point values but rather intervals, sharp or fuzzy, then a single CDF is not specified. Instead, a family of CDFs is specified. Sharp intervals lead to sharp boundaries ("envelopes") around the family, while fuzzy intervalsdoi:10.1109/nafips.2003.1226819 fatcat:viuk6cum3rc37pvsnzbeji5zme