Title :
Constraints on belief functions imposed by fuzzy random variables: Some technical remarks on Romer-Kandel
Author :
Krätschmer, Volker
Author_Institution :
Lehrstuhl fur Stat. und Okonometrie, Saarlandes Univ., Saarbrucken, Germany
fDate :
12/1/1998 12:00:00 AM
Abstract :
C. Romer and A. Kandel (1995) investigated a new approach of fuzzy data analysis combining Dempster-Shafer theory and fuzzy set theory. Especially, belief measures are derived from fuzzy random variables but proved incompletely. This paper offers a completion using topological properties induced by the Hausdorff metric which is defined on the space of closed intervals of the real numbers. Moreover little corrections of some other assertions in the paper of Romer-Kandel are presented
Keywords :
belief networks; data analysis; fuzzy logic; fuzzy set theory; Dempster-Shafer theory; Hausdorff metric; belief functions; belief measures; closed intervals; fuzzy data analysis; fuzzy random variables; fuzzy set theory; real numbers; topological properties; Artificial neural networks; Data analysis; Error correction; Fuzzy reasoning; Fuzzy set theory; Hidden Markov models; Information processing; Learning systems; Neurons; Random variables;
Journal_Title :
Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on
DOI :
10.1109/3477.735399
