Mathematics
L. Zadeh
tlooto Summary
In probability theory, an event, A, is a member of a a-field, CY, of subsets of a sample space ~2, where CY is any collection of disjoint events.
Abstract
In probability theory [I], an event, A, is a member of a a-field, CY, of subsets of a sample space ~2. A probability measure, P, is a normed measure over a measurable space (Q, GY); that is, P is a real-valued function which assigns to every A in Gk’ a probability, P(A), such that (a) P(A) > 0 for all A E a, (b) P(Q) = 1; and (c) P is countably additive, i.e., if {Ai} is any collection of disjoint events, then
Citation format
ZADEH, L. Probability measures of fuzzy events. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1968, 23: 421–427.