• DocumentCode
    1018414
  • 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
  • Volume
    24
  • Issue
    1
  • fYear
    1994
  • fDate
    1/1/1994 12:00:00 AM
  • Firstpage
    107
  • Lastpage
    111
  • 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;
  • fLanguage
    English
  • Journal_Title
    Systems, Man and Cybernetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9472
  • Type

    jour

  • DOI
    10.1109/21.259690
  • Filename
    259690