DocumentCode
2308252
Title
Probabilistic correlation coefficients for possibility distributions
Author
Fullér, Robert ; Harmati, István Á ; Várlaki, Péter
Author_Institution
IAMSR, Abo Akademi Univ., Åbo, Finland
fYear
2011
fDate
23-25 June 2011
Firstpage
153
Lastpage
158
Abstract
The goal of this paper to introduce two alternative definitions for the possibilistic correlation coefficient by equipping the level sets of a joint possibility distribution with nonuniform probability distributions which are directly derived from the shape function of the joint possibility distribution. We also show some examples for their exact calculation for joint possibility distributions defined by Mamdani, Łukasiewicz and Larsen triangular norms.
Keywords
correlation theory; possibility theory; statistical distributions; Mamdani, Lukasiewicz and Larsen triangular norm; joint possibility distribution; nonuniform probability distribution; probabilistic correlation coefficient; Correlation; Density functional theory; Joints; Probabilistic logic; Probability density function; Probability distribution; Shape;
fLanguage
English
Publisher
ieee
Conference_Titel
Intelligent Engineering Systems (INES), 2011 15th IEEE International Conference on
Conference_Location
Poprad
Print_ISBN
978-1-4244-8954-1
Type
conf
DOI
10.1109/INES.2011.5954737
Filename
5954737
Link To Document