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Showing papers on "Fuzzy logic published in 1968"


Journal ArticleDOI
TL;DR: 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.

2,396 citations


Journal ArticleDOI
TL;DR: It is shown that the mean of Probabilistic events is a probabilistic event and the set of all probabilism events is closed under the transposition and the operation of the convex-combination.
Abstract: In this paper the concept of probabilistic events is introduced and their closure properties under the operations on the set of all fuzzy events are studied. It is shown that the mean of probabilistic events is a probabilistic event and the set of all probabilistic events is closed under the transposition and the operation of the convex-combination. A sufficient condition for the union and the intersection of two probabilistic events to be probabilistic events in the sense of fuzzy sets is given. In the last two sections we showed some families of probabilistic events closed or approximately closed under the operation of the union and the intersection and the complementation.

35 citations


01 Feb 1968
TL;DR: Algorithm concept for information processing and pattern recognition involving incomplete or uncertain data involving incomplete and uncertain data is proposed.
Abstract: Algorithm concept for information processing and pattern recognition involving incomplete or uncertain data

19 citations