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Properties of states of recongnition arising from a set of knowledge systems with imperfect reporting *  

Authors: A. de Korvin a;  R. Kleyle b; M. Murphy a
Affiliations:   a Department of Applied Mathematical Sciences, University of Houston - Downtown, Houston, TX
b Department of Mathematical Sciences, Indiana University - Purdue University at Indianapolis, Indianpolis, IN
DOI: 10.1080/07362999108809231
Publication Frequency: 6 issues per year
Published in: journal Stochastic Analysis and Applications, Volume 9, Issue 2 1991 , pages 133 - 146
Formats available: PDF (English)
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Abstract

The main purpose of this article b to study how sometimes incomplete information coming from different sources can be put together. After interrogating the qth source, a variable Xq is defined whose values are passible states. It is shown that lcubXqrcub forms a Markov chain. It is shown that the probability of not getting additional information at the qth source is the averaged commonality induced by Xq. Other related questions are looked at. Then, strategies are defined as to what to do when the probability of different states is not known. A possible way to proceed is to view possible states as environments in which decisions must be made. Different strategies, under different degrees of the reliability of the sources, are sketched. The belief function is used to build different payoffs and fuzzy versions of the problems are studied
* † The Research of this author was supported in part by NASA Grant NGT 44-001-800.
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