Abstract
We propose a model for evaluating soft aggregations of selection conditions with unequal importance in flexible queries to databases, where the importance can have distinct semantics: it can be intended as either relative importance weights, minimum acceptance levels of satisfaction of the conditions, or ideal degrees of satisfaction of the conditions. We define distinct evaluation functions within the unifying framework of the vector p-norm that provides an intuitive geometric interpretation of the query.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Bordogna, G., Pasi, G.: Modeling Vagueness in Information Retrieval. In: Agosti, M., Crestani, F., Pasi, G. (eds.) ESSIR 2000. LNCS, vol. 1980, pp. 207–241. Springer, Heidelberg (2001)
Bordogna, G., Psaila, G.: Customizable Flexible Querying for Classical Relational Databases. In: Galindo, J. (ed.) Handbook of Research on Fuzzy Information Processing in Databases, pp. 191–217. Information Science Reference, Hershey (2008)
Bordogna, G., Psaila, G.: Soft Aggregation in Flexible Databases Querying based on the Vector p-norm. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 17(1), 25–40 (2009)
Bosc, P., Kacprzyk, J.: Fuzziness in database management systems. Physica-Verlag, Heidelberg (1995)
Bosc, P., Lietard, L.: Quantified statements and some interpretations for the OWA operators. In: Yager, R., Kacprzyk, J. (eds.) The Ordered Weighted Averaging Operators: Theory and Applications, pp. 241–257. Kluwer, Boston (1997)
Bosc, P., Pivert, O.: SQLf: A relational database language for fuzzy querying. IEEE Transactions on Fuzzy Systems 3(1), 1–17 (1995)
Chomicki, J.: Preference formulas in relational queries. ACM Trans. on Database Systems 28(4), 427–466 (2003)
Dubois, D., Prade, H.: Bipolarity in Flexible Querying. In: Andreasen, T., Motro, A., Christiansen, H., Larsen, H.L. (eds.) FQAS 2002. LNCS (LNAI), vol. 2522, pp. 174–182. Springer, Heidelberg (2002)
Dujmović, J.J., Fang, W.Y.: An Empirical Analysis of Assessment Errors for Weights and Andness in LSP Criteria. In: Torra, V., Narukawa, Y. (eds.) MDAI 2004. LNCS (LNAI), vol. 3131, pp. 139–150. Springer, Heidelberg (2004)
Dujmović, J.J., Larsen, H.L.: Generalized conjunction/disjunction. International Journal of Approximate Reasoning 46(3), 423–446 (2007)
Galindo, J.: Handbook of Research on Fuzzy Information Processing in Databases. IGI Global (2008)
Kacprzyk, J., Zadrozny, S.: Implementation of OWA operators in fuzzy querying for Microsoft Access. In: Yager, R.R., Kacprzyk, J. (eds.) The Ordered Weighted Averaging Operators: Theory and Applications, pp. 293–306. Kluwer, Boston (1997)
Kacprzyk, J., Ziolkowski, A.: Database queries with fuzzy linguistic quantifiers. IEEE Transactions on Systems, Man and Cybernetics 16, 474–479 (1986)
Kießling, W., Kostler, G.: Preference SQL– Design, Implementation, Experiences. In: Proc. of the 28th VLDB Conf., Hong Kong (2002)
Lacroix, M., Lavency, P.: Preferences: putting more knowledge into queries. In: Proc. of 13th Conf. VLDB, Brighton, GB, pp. 217–225 (1987)
Larsen, H.L.: Importance weighted OWA aggregation of multicriteria queries. In: Proc. of NAFIPS 1999, New York, pp. 740–744 (1999)
Lietard, L., Rocacher, D., Tbahriti, S.E.: Towards an extended SQLf: Bipolar query language with preferences. International Journal of Applied Mathematics and Computer Sciences 4(1), 58–63 (2008)
Petry, F.E.: Fuzzy Databases. Kluwer Academic Pub. (1996)
Salton, G., McGill, M.J.: Introduction to modern information retrieval. McGraw-Hill, New York (1983)
Tineo Rodríguez, L.J.: Extending RDBMS for Allowing Fuzzy Quantified Queries. In: Ibrahim, M., Küng, J., Revell, N. (eds.) DEXA 2000. LNCS, vol. 1873, pp. 407–416. Springer, Heidelberg (2000)
Yager, R.R.: On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Transactions on Systems, Man and Cybernetics 18, 183–190 (1988)
Zadrozny, S., Kacprzyk, J.: Issues in the practical use of the OWA operators in fuzzy querying. J. Intell. Inf. Syst. 33, 307–325 (2009)
Zadrozny, S., Kacprzyk, J.: Bipolar Queries: An Approach and its Various Interpretations. In: Proc. of IFSA-EUSFLAT 2009, pp. 1288–1293 (2009) ISBN: 978-989-95079-6-8
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bordogna, G., Marcellini, A., Psaila, G. (2012). Distinct Interpretations of Importance Query Weights in the Vector p − norm Database Model. In: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., Yager, R.R. (eds) Advances on Computational Intelligence. IPMU 2012. Communications in Computer and Information Science, vol 297. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31709-5_38
Download citation
DOI: https://doi.org/10.1007/978-3-642-31709-5_38
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-31708-8
Online ISBN: 978-3-642-31709-5
eBook Packages: Computer ScienceComputer Science (R0)