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Please use this identifier to cite or link to this item: https://hdl.handle.net/10119/9567

Title: Combination of uncertain class membership degrees with probabilistic, belief, and possibilistic measures
Authors: Cao, T.H.
Huynh, Van-Nam
Keywords: Fuzzy object-oriented model
Uncertain membership
Combination rules
Class hierarchy
Issue Date: 2010-03-26
Publisher: Springer
Magazine name: Integrated Uncertainty Management and Applications
Volume: 68/2010
Start page: 383
End page: 394
DOI: 10.1007/978-3-642-11960-6_36
Abstract: One important issue of uncertain or fuzzy object-oriented models is that uncertain membership degrees of an object to the classes in a class hierarchy may be obtained from different sources while they are actually constrained by the subclass relation. In this paper we present the notion of admissible combination functions and an algorithm to propagate and combine prior uncertain membership degrees on a class hierarchy, which are possibly conflicting, in order to produce a tightly consistent uncertain membership assignment. We assume uncertain membership degrees to be measured by support pairs represented by sub-intervals of [0,1]. The usual probabilistic interval intersection, Dempster-Shafer, and possibilistic combination rules are examined and proved to be admissible ones.
Rights: This is the author-created version of Springer, T.H. Cao, Van-Nam Huynh, Integrated Uncertainty Management and Applications, 68/2010, 2010, 383-394. The original publication is available at www.springerlink.com, http://dx.doi.org/10.1007/978-3-642-11960-6_36
URI: https://hdl.handle.net/10119/9567
Material Type: author
Appears in Collections:a10-1. 雑誌掲載論文 (Journal Articles)

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