Title: A hybrid object based model combining probability and fuzzy set theories

Authors: Tru H. Cao, Hoa Nguyen

Addresses: Faculty of Computer Science and Engineering, HCM City University of Technology, 268 Ly Thuong Kiet Street, HCM City, Vietnam. ' Faculty of Information Technology, HCM City Open University, 97 Vo Van Tan Street, HCM City, Vietnam

Abstract: Although there have been many fuzzy object-oriented data model proposed, and a bit less for probabilistic ones, models combining the relevance and strength of both fuzzy set theory and probability theory appear to be sporadic. This paper introduces our extension of Eiter et al.|s probabilistic object base model with two key features: uncertain and imprecise attribute values are represented as probability distributions on a set of fuzzy set values; class methods with uncertain and imprecise input and output arguments are formally integrated into the new model. A probabilistic interpretation of relations on fuzzy set values is proposed for their combination with probability degrees. Then the syntax and semantics of fuzzy-probabilistic object base schemas, instances, and selection operation are defined.

Keywords: object-oriented modelling; probability distribution; fuzzy sets; class methods; selection operation.

DOI: 10.1504/IJIIDS.2007.016687

International Journal of Intelligent Information and Database Systems, 2007 Vol.1 No.3/4, pp.386 - 406

Published online: 14 Jan 2008 *

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