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The Algebra of Hidden Relations as a Means of Modeling Statistical Databases

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Abstract—

An analogue of relational algebra is considered that is used to model databases when attribute values are not completely visible to the user but only up to a certain equivalence relation on domains. This case is important for so-called statistical databases, when it is necessary to provide and comprehensively analyze the summarized information on data stored in a database, but the user does not have access to personal data in the database. Similarly to the relational approach, this case introduces the concept of a hidden relationship and a system of operations with hidden relationships. Some correlations between these operations are shown and the query language is defined.

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REFERENCES

  1. Srivastava, J. and Ngo, H.Q., Statistical databases, in Wiley Encyclopedia of Electrical and Electronics Engineering, Hoboken, NY: Wiley, 1999. https://onlinelibrary.wiley.com/doi/book/10.1002/047134608X.

    Google Scholar 

  2. Privacy in Statistical Databases: UNESCO Chair in Data Privacy, International Conference, PSD 2018, Valencia, Spain, September 26–28, 2018, Proceedings, Domingo-Ferrer, J. and Montes, F., Eds., Springer International Publishing, 2018, vol. 11126. https://www.springer.com/ gp/book/9783319997704.

  3. Maier, D., The Theory of Relational Databases, Computer Science Press, 1983.

    MATH  Google Scholar 

  4. Beniaminov, E.M., Algebraicheskie metody v teorii baz dannykh i predstavlenii znanii (Algebraic Methods in Database Theory and Knowledge Representation), Moscow: Nauchn. Mir, 2003.

  5. Samarati, P. and Sweeney, L., Protecting privacy when disclosing information: k-anonymity and its enforcement through generalization and suppression, Technical Report SRI-CSL-98-04, Computer Science Laboratory, SRI International, 1998. http://www.csl.sri. com/papers/sritr-98-04/.

  6. Sweeney, L., K-anonymity: A model for protecting privacy, Int. J. Uncertainty Fuzziness Knowl.-Based Syst., 2002, vol. 10, no. 5, pp. 557–570.

    Article  MathSciNet  Google Scholar 

  7. Wu, W., Xiao, Y., Wang, W., He, Z., and Wang, Z., K‑symmetry model for identity anonymization in social networks, Advances in Database Technology—EDBT 2010 Proceedings of the 13th International Conference on Extending Database Technology, Lausanne, 2010, pp. 111–122.

  8. Salas, J. and Domingo-Ferrer, J., Some basics on privacy techniques, anonymization and their Big Data challenges, Math. Comput. Sci., 2018, vol. 12, no. 3, pp. 263–274.

    Article  MathSciNet  Google Scholar 

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Correspondence to E. M. Beniaminov.

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Translated by S. Kuznetsov

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Beniaminov, E.M. The Algebra of Hidden Relations as a Means of Modeling Statistical Databases. Autom. Doc. Math. Linguist. 53, 161–166 (2019). https://doi.org/10.3103/S0005105519040022

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