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Proceedings Paper

Application of conditional and relational event algebra to the defining of fuzzy logic concepts
Author(s): I. R. Goodman; H. T. Nguyen
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Paper Abstract

Beginning with work in the mid 1970's and early 1980's, it was discovered that fundamental homomorphic-like relations exist between many first order fuzzy logic concepts and naturally corresponding probability ones via the one-point coverage events for appropriately chosen random subsets of the domains of the fuzzy sets considered. This paper first extends and modifies the above-mentioned homomorphic-like relations previously established. It also introduces a number of new homomorphic-like relations between fuzzy logic concepts and probability, utilizing two recently derived subfields of probability theory: conditional and relational event algebra. In addition, a newly invigorated branch of probability theory dealing with second order probabilities (or `probabilities of probabilities') is shown to be applicable to treating certain deduction problems involving conditioning of populations.

Paper Details

Date Published: 27 July 1999
PDF: 12 pages
Proc. SPIE 3720, Signal Processing, Sensor Fusion, and Target Recognition VIII, (27 July 1999); doi: 10.1117/12.357169
Show Author Affiliations
I. R. Goodman, SPAWAR San Diego (United States)
H. T. Nguyen, New Mexico State Univ. (United States)

Published in SPIE Proceedings Vol. 3720:
Signal Processing, Sensor Fusion, and Target Recognition VIII
Ivan Kadar, Editor(s)

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