COMPARISON THE RESULTS BASED ON INTERVAL NUMBERS, FUZZY SET METHOD AND PROBABILITY APPROACH
Vladimír Dekýš, Alžbeta Sapietová, Milan Vaško, Roman Kocur · 2006
The contribution deals with simulation of input system variables by using the three approaches - interval numbers, fuzzy set based methods and probabilistic methods. The presented examples (computation of the natural frequencies of mechanical system and position and acceleration of crank mechanism) are using by this approaches (by means of INTLAB and Monte Carlo method). The results are compared. Attention is done to the potential miss-interpretation of the results, in case interpretation of interval numbers as a realization of uniform distributed random variable, or in case interpretation triangular fuzzy number as a realization random variable with triangular probability density function.