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1 Informatyka Teoretyczna i Stosowana

1 2002

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A probabilistic method for ordering group of intervals

Sevastianov P.V., Róg P., Karczewski K.

Informatyka Teoretyczna i Stosowana

2002

R. 2, nr 2

45-53

A probabilistic approach to the ordering of intervals is developed. The method is based on the assumption that random variables are independently and uniformly distributed at given intervals. It allows all possible cases of interval location and intersection and of ordering of interval and real number to be taken into account. Additionally, this method al-lows the widths of the intervals to be taken into account in the ordering procedure. It should be noted that the probabilistic approach was used only to infer the set of formulae needed to estimate quantitatively the degree to which one interval is less or equal to another interval. The measure of such a degree may be treated formally as one of probability, but the term "possibility" tan be also used, as it better reflects the sense of the relation between the intervals in many cases.