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1 1998

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Analysis of linear mechanical structures with uncertainties by means of interval methods

Kulpa Z., Pownuk A., Skalna I.

Computer Assisted Mechanics and Engineering Sciences

1998

Vol. 5, nr 4

443-477

One of the simplest ways of representation of uncertain or inexact data, as well as inexact computations with them, is based on interval arithmetic. In this approach, an uncertain (real) number is represented by an interval (a continuous bounded subset) of real numbers which presumably contains the unknown exact value of the number in question. Despite its simplicity, it conforms very well to many practical situations, like tolerance handling or managing rounding errors in numerical computations. Also, the so-called alfa-cut method of handling fuzzy sets membership functions is based on replacing a fuzzy set problem with a set of interval problems.