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Possibility, probability and relative information: a unified approach via geometric programming

Guy Jumarie

Kybernetes

ISSN: 0368-492X

Article publication date: 1 February 1995

225

Abstract

The theory of possibility (Zadeh, Sugeno) and the theory of relative information (Jumarie) both aim to deal with the meaning of information, but their mathematical frameworks are quite different. In the first approach, possibility is described either by fuzziness (Zadeh) or by generalized measures (Sugeno), and in the second, possibility is obtained as the result of observing probability via an observation process with informational invariance. Shows that a combination of (classical) information theory with generalized maximum likelihood via geometric programming exhibits a link between relative information, fuzziness and possibility. Some consequences are outlined.

Keywords

Citation

Jumarie, G. (1995), "Possibility, probability and relative information: a unified approach via geometric programming", Kybernetes, Vol. 24 No. 1, pp. 18-33. https://doi.org/10.1108/03684929510079269

Publisher

:

MCB UP Ltd

Copyright © 1995, MCB UP Limited

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