Abstract
Uncertain data extensively exists in many real-world applications. And uncertain data modeling has been investigated in various database models. This has resulted in numerous contributions. Actually, uncertainty in data has devise semantics, mainly including objective uncertainty and subjective uncertainty. Different types of uncertainty may occur together and we face with hybrid uncertain data with objective uncertainty and subjective uncertainty. This paper devotes to identify the semantics and expressive forms of hybrid uncertain data with both objective uncertainty and subjective uncertainty, and presents an up-to-date overview of the current state of the art in hybrid uncertain data modeling in relational databases and object-oriented databases.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Baldwin, J.M., Lawry, J., 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, Granada, Spain, pp. 521–525, July 1996
Baudrit, C., Dubois, D., Guyonet, D.: Joint propagation and exploitation of probabilistic and possibilistic information in risk assessment. IEEE Trans. Fuzzy Syst. 14, 593–607 (2006)
Bosc, P., Prade, H.: An introduction to fuzzy set and possibility theory based approaches to the treatment of uncertainty and imprecision in database management systems. In: Proceedings of the Second Workshop on Uncertainty Management in Information Systems: From Needs to Solutions (1993)
Buckley, J.J.: Fuzzy Probabilities: New Approach and Applications. Springer, Heidelberg (2005)
Cao, T.H., Nguyen, H.: Uncertain and fuzzy object bases: a data model and algebraic operations. Int. J. Uncertainty Fuzziness Knowl.-Based Syst. 19(2), 275–305 (2011)
Cao, T.H., Rossiter, J.M.: A deductive probabilistic and fuzzy object-oriented database language. Fuzzy Sets Syst. 140(1), 129–150 (2003)
Dey, D., Sarkar, S.A.: Probabilistic relational model and algebra. ACM Trans. Database Syst. 21(3), 339–369 (1996)
Eiter, T., Lu, J.J., Lukasiewicz, T., Subrahmanian, V.S.: Probabilistic object bases. ACM Trans. Database Syst. 26(3), 264–312 (2001)
Ferson, S.: What Monte Carlo method cannot do. Hum. Ecol. Risk Assess. 2, 990–1007 (1996)
Gupta, C.P.: A note on transformation of possibilistic information into probabilistic information for investment decisions. Fuzzy Sets Syst. 56, 175–182 (1993)
Guyonnet, D., Bourgine, B., Dubois, D., Fargier, H., Cme, B., Chils, P.J.: Hybrid approach for addressing uncertainty in risk assessment. J. Enviro. Eng. 126, 68–76 (2003)
Haas, P.J., Suciu, D.: Special issue on uncertain and probabilistic databases. VLDB J. 18(5), 987–988 (2009)
Kornatzky, Y., Shimony, S.E.: A probabilistic object-oriented data model. Data Knowl. Eng. 12(2), 143–166 (1994)
Lakshmanan, L.V.S., Leone, N., Ross, R., Subrahmanian, V.S.: ProbView: a flexible probabilistic database system. ACM Trans. Database Syst. 22(3), 419–469 (1997)
Ma, Z.M., Yan, L.: A literature overview of fuzzy database models. J. Inf. Sci. Eng. 24(1), 189–202 (2008)
Ma, Z.M., Zhang, F., Yan, L.: Fuzzy information modeling in UML class diagram and relational database models. Appl. Soft Comput. 11(6), 4236–4245 (2011)
Parsons, S.: Current approaches to handling imperfect information in data and knowledge bases. IEEE Trans. Knowl. Data Eng. 8(2), 353–372 (1996)
Ralescu, A.: Fuzzy probabilities and their applications to statistical inference. In: Proceedings of the 5th International Conference on Processing and Management of Uncertainty in Knowledge-Based Systems, pp. 217–222 (1994)
Rebiasz, B.: New methods of probabilistic and possibilistic interactive data processing. J. Intell. Fuzzy Syst. 30(5), 2639–2656 (2016)
Yan, L., Ma, Z.M.: Algebraic operations in fuzzy object-oriented databases. Inf. Syst. Front. 16(4), 543–556 (2014)
Yan, L., Ma, Z.M.: A fuzzy probabilistic relational database model and algebra. Int. J. Fuzzy Syst. 15(2), 244–253 (2013)
Yan, L., Ma, Z.: A probabilistic object-oriented database model with fuzzy measures and its algebraic operations. J. Intell. Fuzzy Syst. 28(5), 1969–1984 (2015)
Yang, Q., Zhang, W.N., Liu, C.W., Wu, J., Yu, C.T., Nakajima, H., Rishe, N.: Efficient processing of nested fuzzy SQL queries in a fuzzy database. IEEE Trans. Knowl. Data Eng. 13(6), 884–901 (2001)
Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)
Zadeh, L.A.: Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets Syst. 1, 3–28 (1978)
Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning (Parts 1, 2, and 3), Inf. Sci. 8, 119–248 & 301–357; 9, 43–80 (1975)
Zadeh, L.A.: Fuzzy probabilities. Inf. Process. Manag. 20(3), 363–372 (1984)
Zhu, H., Zhang, C.C., Cao, Z.S., Tang, R.M.: On efficient conditioning of probabilistic relational databases. Knowl.-Based Syst. 92, 112–126 (2016)
Zimanyi, E.: Query evaluation in probabilistic relational databases. Theor. Comput. Sci. 171(1–2), 179–219 (1997)
Acknowledgment
The work was supported in part by the National Natural Science Foundation of China (61772269 and 61370075).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Yan, L., Ma, Z. (2019). Towards Hybrid Uncertain Data Modeling in Databases. In: Kearfott, R., Batyrshin, I., Reformat, M., Ceberio, M., Kreinovich, V. (eds) Fuzzy Techniques: Theory and Applications. IFSA/NAFIPS 2019 2019. Advances in Intelligent Systems and Computing, vol 1000. Springer, Cham. https://doi.org/10.1007/978-3-030-21920-8_64
Download citation
DOI: https://doi.org/10.1007/978-3-030-21920-8_64
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-21919-2
Online ISBN: 978-3-030-21920-8
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)