Dempster-Shafer information measures in category theory

Joseph S. J. Peri

doi:10.1117/12.2228471

17 May 2016 Dempster-Shafer information measures in category theory

Joseph S. J. Peri

Proceedings Volume 9842, Signal Processing, Sensor/Information Fusion, and Target Recognition XXV; 98420W (2016) https://doi.org/10.1117/12.2228471
Event: SPIE Defense + Security, 2016, Baltimore, MD, United States

Abstract

In the Dempster Shafer context, one can construct new types of information measures based on belief and plausibility functions. These measures differ from those in Shannon’s theory because, in his theory, information measures are based on probability functions. Other types of information measures were discovered by Kampe de Feriet and his colleagues in the French and Italian schools of mathematics. The objective of this paper is to construct a new category of information. I use category theory to construct a general setting in which the various types of information measures are special cases.

Citation Download Citation

Joseph S. J. Peri "Dempster-Shafer information measures in category theory", Proc. SPIE 9842, Signal Processing, Sensor/Information Fusion, and Target Recognition XXV, 98420W (17 May 2016); https://doi.org/10.1117/12.2228471

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