DocumentCode
2404432
Title
Theory and applications of fuzzy random variables
Author
Ralescu, Dan
Author_Institution
Dept. of Math. Sci., Univ. of Cincinnati, Cincinnati, OH, USA
fYear
2009
fDate
14-17 June 2009
Firstpage
1
Lastpage
1
Abstract
We discuss the historical perspective of concepts of fuzziness and randomness, with emphasis on fuzzy random variables. We will describe the analysis of the interpretation, modeling, and impact of fuzzy random variables. Examples will be given of scenarios modeled by fuzzy random variables. Also, main approaches using fuzzy random variables will be discussed. The theoretical concept of expected value will be one of our main focus points. Finally, we present some statistical applications of fuzzy random variables mainly to statistical testing of hypotheses and to regression analysis with imprecise data.
Keywords
fuzzy set theory; random processes; regression analysis; fuzziness; fuzzy random variables; randomness; regression analysis; Fuzzy sets; Information processing; Random variables; Regression analysis; Statistical analysis; Uncertainty;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Information Processing Society, 2009. NAFIPS 2009. Annual Meeting of the North American
Conference_Location
Cincinnati, OH
Print_ISBN
978-1-4244-4575-2
Electronic_ISBN
978-1-4244-4577-6
Type
conf
DOI
10.1109/NAFIPS.2009.5156385
Filename
5156385
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