Abstract
Although fuzzy set and probability theories are complementary for dealing with pervasive imprecision and uncertainty in real world problems, object-oriented database models combining the relevance and strength of both the theories appear to be sporadic. This paper introduces our extension of Eiter et al.’s probabilistic object base model with two key features: (1) uncertain and imprecise attribute values are represented as probability distributions on a set of fuzzy set values; and (2) 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. Furthermore, the soft computing paradigm needs to have real systems implemented to be useful in practice. This paper also presents our development of FPDB4O as a management system for fuzzy and probabilistic object bases of the proposed model.
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References
Baldwin, J.F., et al.: Toward soft computing object-oriented logic programming. In: Proceedings of the 9th IEEE International Conference on Fuzzy Systems, pp. 768–773 (2000)
Baldwin, J.F., Lawry, J.M., Martin, T.P.: A mass assignment theory of the probability of fuzzy events. International Journal of Fuzzy Sets and Systems 83, 353–367 (1996)
Baldwin, J.F., Lawry, J.M., Martin, T.P.: A note on probability/possibility consistency for fuzzy events. In: Proceedings of the 6th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, pp. 521–525 (1996)
Berzal, F., et al.: A framework to build fuzzy object-oriented capabilities over an existing database system. In: Ma, Z. (ed.) Advances in fuzzy object-oriented database: modeling and applications, pp. 177–205. Idea Group Publishing, USA (2005)
Blanco, I., et al.: Softening the object-oriented database model: imprecision, uncertainty and fuzzy types. In: Proceedings of the 1st International Joint Conference of the International Fuzzy Systems Association and the North American Fuzzy Information Processing Society, pp. 2323–2328 (2001)
Bordogna, G., Pasi, G., Lucarella, D.: A fuzzy object-oriented data model managing vague and uncertain information. International Journal of Intelligent Systems 14, 623–651 (1999)
Cao, T.H.: Uncertain inheritance and recognition as probabilistic default reasoning. International Journal of Intelligent Systems 16, 781–803 (2001)
Cao, T.H., Nguyen, H.: Fuzzy and probabilistic object bases. In: Ma, Z. (ed.) Advances in fuzzy object-oriented databases: modelling and applications, pp. 46–84. Idea Group Publisher, USA (2005)
Cao, T.H., Rossiter, J.M.: A deductive probabilistic and fuzzy object-oriented database language. International Journal of Fuzzy Sets and Systems 140, 129–150 (2003)
Cross, V.V.: Defining fuzzy relationships in object models: Abstraction and interpretation. International Journal of Fuzzy Sets and Systems 140, 5–27 (2003)
De Tré, G., De Caluwe, R.: A constraint based fuzzy object-oriented database model. In: Ma, Z. (ed.) Advances in fuzzy object-oriented databases: Modelling and applications, pp. 1–45. Idea Group Publisher, USA (2005)
Dubitzky, W., et al.: Towards concept-oriented databases. Data & Knowledge Engineering 30, 23–55 (1999)
Eiter, T., et al.: Probabilistic object bases. ACM Transactions on Database Systems 26, 264–312 (2001)
Gaines, B.R.: Fuzzy and probability uncertainty logics. Journal of Information and Control 38, 154–169 (1978)
George, R., Buckles, B.P., Petry, F.E.: Modelling class hierarchies in the fuzzy object-oriented data model. International Journal of Fuzzy Sets and Systems 60, 259–272 (1993)
Grehan, R.: Complex object structures, persistence, and DB4O. Series of db4o whitepaper. db4objects Inc. (2005)
Klir, G.J., Yuan, B.: Fuzzy sets and fuzzy logic - theory and applications. Prentice Hall PTR, Englewood Cliffs (1995)
Lakshmanan, L.V.S., et al.: ProbView: A flexible probabilistic database system. ACM Transactions on Database Systems 22, 419–469 (1997)
Mohamedally, D., et al.: MIKE’s PET: A participant-based experiment tracking tool for HCI practitioners using mobile devices. In: Proceedings of SPIE’s 18th Annual Symposium for Electronic Imaging, pp. 216–224 (2006)
Nakada, H., et al.: Design and implementation of a local scheduling system with advance reservation for co-allocation on the grid. In: Proceedings of the 6th IEEE International Conference on Computer and Information Technology, pp. 217–222 (2006)
Pfeifer, D.: Flexible object-oriented views using method propagation. In: Proceedings of the 8th International Conference on Object-Oriented Information Systems, pp. 521–535 (2002)
Ross, R., Subrahmanian, V.S.: Aggregate Operators in Probabilistic Databases. Journal of the ACM 52, 54–101 (2005)
Rossazza, J.-P., Dubois, D., Prade, H.: A hierarchical model of fuzzy classes. In: De Caluwe, R. (ed.) Fuzzy and uncertain object-oriented databases: Concepts and models, pp. 21–61. World Scientific, Singapore (1997)
Van Gyseghem, N., De Caluwe, R.: The UFO database model: Dealing with imperfect information. In: De Caluwe, R. (ed.) Fuzzy and uncertain object-oriented databases: Concepts and models, pp. 123–185. World Scientific, Singapore (1997)
Yazici, A., George, R.: Fuzzy database modelling. Studies in Fuzziness and Soft Computing, vol. 26. Physica-Verlag, Heidelberg (1999)
Zadeh, L.A.: PRUF - A meaning representation language for natural languages. International Journal of Man-Machine Studies 10, 395–460 (1978)
Zhang, X., et al.: A usage-based authorization framework for collaborative computing system. In: Proceedings of ACM Symposium on Access Control Models and Technologies, pp. 180–189 (2006)
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Cao, T.H., Nguyen, H., Nam, M. (2008). Modelling and Computing with Imprecise and Uncertain Properties in Object Bases. In: Huynh, VN., Nakamori, Y., Ono, H., Lawry, J., Kreinovich, V., Nguyen, H.T. (eds) Interval / Probabilistic Uncertainty and Non-Classical Logics. Advances in Soft Computing, vol 46. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77664-2_12
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DOI: https://doi.org/10.1007/978-3-540-77664-2_12
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