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Quotient Space Based Problem Solving by Bo Zhang, Ling Zhang

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4.2. The Relation Between Uncertainty and Granularity

Uncertainty originates in the lack of knowledge mainly. There are several kinds of uncertainty. All can be treated by quotient space model uniformly.
(1). Measurement Uncertainty
We say, ‘His age is in the twenties’, ‘The length of the rope is about fifty meters’. Neither of the two statements is precise, since ‘twenties’ and ‘about fifty meters’ are not definite numbers. In daily life, we use these kinds of imprecise description widely. Now that much information we deal with is usually imprecise, what is the distinction between certainty (accuracy) and uncertainty (inaccuracy)?
Taking the ‘length of a rope’ as an example, we say, ‘The length of the rope is about fifty meters’. Whether the statement ...

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