On a Representation of Observables in Fuzzy Measurable Spaces

Abstract

We give a representation of observables in fuzzy measurable spaces by random variables and vice versa, and we prove a Loomis᎐Sikorski theorem analogue. Moreover, some applications are presented. ᮊ

The Kolmogorov-Sinaj Theorem on Generators for Fuzzy Dynamical Systems

“…In [7], the theorem Let a fuzzy probability space (X,M,m) be given. In accordance with Piasecki [11] (see also [2]), we denote by K(M) the system of subset A C X for which there exists a fuzzy subset a G M such that (3.1) {a>i}c4c{«Sl}.…”

Μπουλιανα Μοντελα Και Εφαρμογες

“…(ü) P(VZz fi) = ΣΖι P(fi), οποτεδήποτε f % <fj-, τ φ j. (iv) Στην εργασία [34], [16], έχει εισαχθεί μια συνηθισμένη σάλγεβρα υποσυνόλων του Ω, xem.…”