Application of conditional and relational event algebra to the defining of fuzzy logic concepts

I. R. Goodman; H. T. Nguyen

doi:10.1117/12.357169

27 July 1999 Application of conditional and relational event algebra to the defining of fuzzy logic concepts

I. R. Goodman, H. T. Nguyen

Proceedings Volume 3720, Signal Processing, Sensor Fusion, and Target Recognition VIII; (1999) https://doi.org/10.1117/12.357169
Event: AeroSense '99, 1999, Orlando, FL, United States

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.

Citation Download Citation

I. R. Goodman and H. T. Nguyen "Application of conditional and relational event algebra to the defining of fuzzy logic concepts", Proc. SPIE 3720, Signal Processing, Sensor Fusion, and Target Recognition VIII, (27 July 1999); https://doi.org/10.1117/12.357169

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available