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Finding a posterior domain probability distribution by specifying nonspecific evidence (1995)
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| Venue: | International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems |
| Citations: | 11 - 11 self |
BibTeX
@ARTICLE{Schubert95findinga,
author = {Johan Schubert},
title = {Finding a posterior domain probability distribution by specifying nonspecific evidence},
journal = {International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems},
year = {1995},
volume = {3},
number = {2},
pages = {163--185}
}
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Abstract
This article is an extension of the results of two earlier articles. In [J. Schubert, "On nonspecific evidence", Int. J. Intell. Syst. 8 (1993) 711-725] we established within Dempster-Shafer theory a criterion function called the metaconflict function. With this criterion we can partition into subsets a set of several pieces of evidence with propositions that are weakly specified in the sense that it may be uncertain to which event a proposition is referring. In a second article [J. Schubert, "Specifying nonspecific evidence", in "Cluster-based specification techniques in DempsterShafer theory for an evidential intelligence analysis of multiple target tracks", Ph.D. Thesis, TRITA-NA-9410, Royal Institute of Technology, Stockholm, 1994, ISBN 91-7170-801-4] we not only found the most plausible subset for each piece of evidence, we also found the plausibility for every subset that this piece of evidence belongs to the subset. In this article we aim to find a posterior probability distribution regarding the number of subsets. We use the idea that each piece of evidence in a subset supports the existence of that subset to the degree that this piece of evidence supports anything at all. From this we can derive a bpa that is concerned with the question of how many subsets we have. That bpa can then be combined with a given prior domain probability distribution in order to obtain the sought-after posterior domain distribution.
Keyphrases
nonspecific evidence posterior domain probability distribution criterion function domain probability distribution evidence belongs cluster-based specification technique specifying nonspecific evidence several piece many subset dempster-shafer theory multiple target track evidence support anything evidential intelligence analysis dempstershafer theory second article posterior probability distribution sought-after posterior domain distribution plausible subset metaconflict function royal institute
