Dempster-Shafer theory and connections to Choquet's theory of capacities and information theory

Joseph S. J. Peri

doi:10.1117/12.2053362

20 June 2014 Dempster-Shafer theory and connections to Choquet's theory of capacities and information theory

Joseph S. J. Peri

Proceedings Volume 9091, Signal Processing, Sensor/Information Fusion, and Target Recognition XXIII; 90910X (2014) https://doi.org/10.1117/12.2053362
Event: SPIE Defense + Security, 2014, Baltimore, MD, United States

Abstract

The axiomatic development of information theory, during the 1960's, led to the discovery of various composition laws. The Wiener-Shannon law is well understood, but the Inf law holds particular interest because it creates a connection with the Dempster-Shafer theory. Proceeding along these lines, in a previous paper, I demonstrated the connection between the Dempster-Shafer theory and Information theory. In 1954, Gustave Choquet developed the theory of capacities in connection with potential theory. The basic concepts of capacity theory arise from electrostatics, but a capacity is a generalization of the concept of measure in Analysis. It is well known that Belief and Plausibility in the Dempster-Shafer theory are Choquet capacities. However, it is not well known that the inverse of an information measure is a Choquet capacity. The objective of this paper is to demonstrate the connections among the Dempster- Shafer theory, Information theory and Choquet's theory of capacities.

Citation Download Citation

Joseph S. J. Peri "Dempster-Shafer theory and connections to Choquet's theory of capacities and information theory", Proc. SPIE 9091, Signal Processing, Sensor/Information Fusion, and Target Recognition XXIII, 90910X (20 June 2014); https://doi.org/10.1117/12.2053362

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