ANALYSIS OF DATA WITH FUZZY NOISE

Real data processed in practical applications of mathematical models a re frequently presented as a (additive or multiplicative) mixture of a deterministic-usually unknown-numeric value and some kind of noise. T he noise can be considered for a random variable and treated by classi cal probabilistic methods. But in many cases the stochastic descriptio n of the noise is not fully adequate to the nature of the considered d ata, and a fuzzy representation of their non-deterministic component d oes much more correspond to their structure. Numerical data entering a pplied models are mathematically processed, at least by means of eleme ntary arithmetic operations. In case of fuzzy-contaminated data such p rocessing is limited by their algebraic properties which are not ident ical with the classical ones known for deterministic numbers. In this contribution we present a brief survey of the algebraic properties of such operations applicable to the fuzzy data.