1.2 Vector-valued fuzzy data
Many statistical data are multivariate, i.e. ideally the corresponding measurement results are real vectors (x1, … , xk)∈k. In applications such data are frequently not precise vectors but to some degree fuzzy. A mathematical model for this kind of data is so-called fuzzy vectors which are formalized in Section 2.2.
Examples of vector valued fuzzy data are locations of objects in space like positions of ships on radar screens, space–time data, multivariate nonprecise data in the form of vectors (x1*,…,xn*) of fuzzy numbers xi*.