Kybernetika 33 no. 3, 259-270, 1997

On the relation between gnostical and probability theories

Zdeněk Fabián

Abstract:

A description of continuous probability distributions by means of influence and weight functions of distribution has been developed. The applicability of the new concepts is briefly discussed. It is shown that in the case of special probability distribution these functions correspond to "irrelevance" and "fidelity" of the gnostical theory introduced in [10]. Gnostical model of uncertainty, claimed by its author to be independent of probabilistic concepts in [12 - 13], can be thus replaced by a special case of the classical probabilistic model.

Classification:

62F99, 62B10, 62A01, 62A99