Skip to main content
SpringerLink
Log in
Book cover

Advances in Probabilistic Databases for Uncertain Information Management pp 23–38Cite as

A Probabilistic Object-Oriented Database Model with Fuzzy Measures

  • Chapter

  • 665 Accesses

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 304))

Abstract

This chapter concentrates on modeling probabilistic evens with fuzzy measures in the object-oriented databases. Instead of crisp probability measures or interval probability measures of objects and classes, fuzzy sets are applied to represent imprecise probability measures. A probabilistic object-oriented database model with fuzzy measures is introduced, which incorporates fuzzy probability degrees to handle imprecision and uncertainty. Based on the proposed probabilistic object-oriented database model, several major semantic relationships of probabilistic objects and probabilistic classes with fuzzy measures are investigated in the chapter.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 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)

    Google Scholar 

  2. Barbara, D., Garcia-Molina, H., Porter, D.: The management of probabilistic data. IEEE Transactions on Knowledge and Data Engineering 4(5), 487–502 (1992)

    Article  Google Scholar 

  3. Buckles, B.P., Petry, F.E.: A fuzzy representation of data for relational databases. Fuzzy Sets and Systems 7(3), 213–226 (1982)

    Article  MATH  Google Scholar 

  4. Cao, T.H., Nguyen, H.: Uncertain and fuzzy object bases: a data model and algebraic operations, International Journal of Uncertainty. Fuzziness and Knowledge-Based Systems 19(2), 275–305 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  5. Cao, T.H., Rossiter, J.M.: A deductive probabilistic and fuzzy object-oriented database language. Fuzzy Sets and Systems 140(1), 129–150 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  6. Cavallo, R., Pittarelli, M.: The theory of probabilistic databases. In: Proceedings of the 13th VLDB Conference, Brighton, England, pp. 71–81 (September 1987)

    Google Scholar 

  7. de Tré, G., de Caluwe, R., Prade, H.: Null values in fuzzy databases. Journal of Intelligent Information Systems 30(2), 93–114 (2008)

    Article  Google Scholar 

  8. Dey, D., Sarkar, S.A.: Probabilistic relational model and algebra. ACM Transactions on Database Systems 21(3), 339–369 (1996)

    Article  Google Scholar 

  9. Eiter, T., Lu, J.J., Lukasiewicz, T., Subrahmanian, V.S.: Probabilistic object bases. ACM Transactions on Database Systems 26(3), 264–312 (2001)

    Article  MATH  Google Scholar 

  10. Haas, P.J., Suciu, D.: Special issue on uncertain and probabilistic databases. The VLDB Journal 18(5), 987–988 (2009)

    Article  Google Scholar 

  11. Kornatzky, Y., Shimony, S.E.: A probabilistic object-oriented data model. Data & Knowledge Engineering 12(2), 143–166 (1994)

    Article  Google Scholar 

  12. Lakshmanan, L.V.S., Leone, N., Ross, R., Subrahmanian, V.S.: ProbView: a flexible probabilistic database system. ACM Transactions on Database Systems 22(3), 419–469 (1997)

    Article  Google Scholar 

  13. Ma, Z.M., Yan, L.: Updating extended possibility-based fuzzy relational databases. International Journal of Intelligent Systems 22(3), 237–258 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  14. Ma, Z.M., Yan, L.: Fuzzy XML data modeling with the UML and relational data models. Data & Knowledge Engineering 63(3), 970–994 (2007)

    Article  MathSciNet  Google Scholar 

  15. Ma, Z.M., Yan, L.: A literature overview of fuzzy database models. Journal of Information Science and Engineering 24(1), 189–202 (2008)

    MATH  Google Scholar 

  16. Ma, Z.M., Yan, L.: A literature overview of fuzzy conceptual data modeling. Journal of Information Science and Engineering 26(2), 427–441 (2010)

    Google Scholar 

  17. Ma, Z.M., Zhang, F., Yan, L.: Fuzzy information modeling in UML class diagram and relational database models. Applied Soft Computing 11(6), 4236–4245 (2011)

    Article  Google Scholar 

  18. Ma, Z.M., Zhang, W.J., Ma, W.Y.: Extending object-oriented databases for fuzzy information modeling. Information Systems 29(5), 421–435 (2004)

    Article  Google Scholar 

  19. Ma, Z.M., Yan, L.: Conflicts and their resolutions in fuzzy relational multidatabases. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 18(2), 169–195 (2010)

    Article  MathSciNet  Google Scholar 

  20. Nuray-Turan, R., Kalashnikov, D.V., Mehrotra, S., Yu, Y.M.: Attribute and object selection queries on objects with probabilistic attributes. ACM Transactions on Database Systems 37(1), 3 (2012)

    Google Scholar 

  21. Parsons, S.: Current approaches to handling imperfect information in data and knowledge bases. IEEE Transactions on Knowledge and Data Engineering 8(2), 353–372 (1996)

    Article  Google Scholar 

  22. Pittarelli, M.: An algebra for probabilistic databases. IEEE Transactions on Knowledge and Data Engineering 6(2), 293–303 (1994)

    Article  Google Scholar 

  23. Prade, H., Testemale, C.: Generalizing database relational algebra for the treatment of incomplete/uncertain information and vague queries. Information Sciences 34(2), 115–143 (1984)

    Article  MathSciNet  MATH  Google Scholar 

  24. Raju, K.V.S.V.N., Majumdar, A.K.: Fuzzy functional dependencies and lossless join decomposition of fuzzy relational database systems. ACM Transactions on Database Systems 13(2), 129–166 (1988)

    Article  Google Scholar 

  25. Umano, M., Fukami, S.: Fuzzy relational algebra for possibility-distribution-fuzzy-relational model of fuzzy data. Journal of Intelligent Information Systems 3(1), 7–27 (1994)

    Article  Google Scholar 

  26. Yan, L., Ma, Z.M.: Algebraic operations in fuzzy object-oriented databases. Information Systems Frontiers (2013), doi:10.1007/s10796-012-9359-8

    Google Scholar 

  27. 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 Transactions on Knowledge and Data Engineering 13(6), 884–901 (2001)

    Article  Google Scholar 

  28. Zadeh, L.A.: Fuzzy sets. Information and Control 8(3), 338–353 (1965)

    Article  MathSciNet  MATH  Google Scholar 

  29. Zadeh, L. A.: The concept of a linguistic variable and its application to approximate reasoning. Information Sciences 8 (3), 199–249, 8 (4), 301–357, 9(1): 43–80 (1975)

    Google Scholar 

  30. Zadeh, L.A.: Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems 1(1), 3–28 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  31. Zhang, W.N., Laun, E., Meng, W.Y.: A methodology of integrating fuzzy relational databases in a multidatabase system. In: Proceedings of the 5th International Conference on Database Systems for Advanced Applications, Melbourne, Australia, pp. 401–410 (April 1997)

    Google Scholar 

  32. Zimanyi, E.: Query evaluation in probabilistic relational databases. Theoretical Computer Science 171(1-2), 179–219 (1997)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Software, Northeastern University, Shenyang, 110819, China

    Li Yan

  2. School of Information Science & Engineering, Northeastern University, Shenyang, 110819, China

    Z. Ma

Authors
  1. Li Yan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Z. Ma
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. College of Information Science & Engin., Inst. Computer Applications, Northeastern University, Liaoning, Shenyang, 110004, China, People's Republic

    Zongmin Ma

  2. College of Information Science & Engin., School of Software, Northeastern University, Shenyang, 110004, China, People's Republic

    Li Yan

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Yan, L., Ma, Z. (2013). A Probabilistic Object-Oriented Database Model with Fuzzy Measures. In: Ma, Z., Yan, L. (eds) Advances in Probabilistic Databases for Uncertain Information Management. Studies in Fuzziness and Soft Computing, vol 304. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37509-5_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-37509-5_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-37508-8

  • Online ISBN: 978-3-642-37509-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation