Title :
On the representation of uncertain information by multidimensional arrays
Author :
Bhattacharya, Prabir ; Mukherjee, N.P.
Author_Institution :
Dept. of Comput. Sci. & Eng., Nebraska Univ., Lincoln, NE, USA
fDate :
1/1/1994 12:00:00 AM
Abstract :
A multidimensional approach is introduced to the representation of uncertain information in conjunction with the Dempster-Schafer theory. A multidimensional array, called a transition array, is defined, which stores the joint probabilities of the occurrences of a set of variables taking values in different sets. Using this array, it is shown how to compute the information regarding the probability of occurrences of the variables as certain matrix products
Keywords :
inference mechanisms; knowledge representation; matrix algebra; probability; uncertainty handling; Dempster-Schafer theory; information representation; joint probabilities; matrix products; multidimensional arrays; transition array; uncertain information; Application software; Biomedical imaging; Linear algebra; Medical diagnosis; Medical diagnostic imaging; Multidimensional systems; Probability; Reconnaissance; Satellites; Strategic planning;
Journal_Title :
Systems, Man and Cybernetics, IEEE Transactions on
