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A mass assignment theory of the probability of fuzzy events

Fuzzy Sets and SystemsPublished 1 November 1996
J.F. Baldwin, Jonathan Lawry, T. P. Martin
Citations111
SJR quartileQ1
SJR score0.75
SNIP1.25

TL;DR

The mass assignment theory of conditional probabilities is shown to be probability/possibility consistent and an alternative theory of unconditional probabilities based on mass assignments is presented together with a number of results illustrating some intuitive properties.

Abstract

Mass assignment theory techniques for processing uncertainty in Fril are reviewed. The notion of the probability of a fuzzy event is introduced together with the t-norm definition of conditional probabilities. The latter is then shown to be probability/possibility inconsistent. An alternative theory of conditional probabilities based on mass assignments is presented together with a number of results illustrating some intuitive properties. In particular, the mass assignment theory of conditional probabilities is shown to be probability/possibility consistent.

Keywords

Computer ScienceDecision SciencesMathematics