Computing Statistics under Fuzzy Uncertainty: Formulation of the Problem
Need to process fuzzy uncertainty. In many practical situations, we only have expert estimates for the inputs x i . Sometimes, experts provide guaranteed bounds on the x i , and even the probabilities of different values within these bounds. However, such cases are rare. Usually, the experts’ opinions about the uncertainty of their estimates are described by (imprecise, “fuzzy”) words from natural language. For example, an expert can say that the value x i of the i-th quantity is approximately equal to 1.0, with an accuracy most probably of about 0.1.
KeywordsReal Number Membership Function Computing Statistics Expert Knowledge Input Quantity
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