Towards a theory of fuzzy probability for cognitive computing

Author

Yingxu Wang

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Calgary, Calgary, AB, Canada

fYear

2014

fDate

18-20 Aug. 2014

Firstpage

21

Lastpage

29

Abstract

A theory of fuzzy probability is presented based on fuzzy sets, which extends the conventional evenly distributed probability space to a complex distribution of fuzzy probability space. A mathematical model of fuzzy probability is formally introduced in the fuzzy sample space. Algebraic operators of fuzzy probability are rigorously described with a set of theorems on the algebra of fuzzy probabilities. Typical applications of the fuzzy probability theory are illustrated for dealing with random fuzzy events, fuzzy causations, and semantic uncertainties in formal inference, qualification, quantification, classification, cognitive linguistics, cognitive informatics, computational intelligence, and cognitive computing.

Keywords

cognitive systems; fuzzy set theory; probability; algebraic operators; cognitive computing; cognitive informatics; cognitive linguistics; computational intelligence; formal classification; formal inference; formal qualification; formal quantification; fuzzy causations; fuzzy probability; fuzzy sample space; fuzzy sets; probability space; random fuzzy events; semantic uncertainties; Decision support systems; Erbium; Silicon; Cognitive informatics; cognitive computing; cognitive systems; computational intelligence; denotational mathematics; formal inference; fuzzy probability; fuzzy systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Cognitive Informatics & Cognitive Computing (ICCI*CC), 2014 IEEE 13th International Conference on

Conference_Location

London

Print_ISBN

978-1-4799-6080-4

Type

conf

DOI

10.1109/ICCI-CC.2014.6921436

Filename

6921436