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Conditions with aggregates evaluated using gradual numbers

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Języki publikacji
EN
Abstrakty
EN
This paper is devoted to the evaluation of conditions involving aggregates in the context of flexible querying of relational databases. An example of such a condition is "the maximum salary of young employees is high", where the aggregate max applies to a fuzzy set of salaries. At first, we consider the evaluation of quantified statements where the aggregate count (the cardinality) is implicitly used. We extend this result to conditions involving the aggregates average, maximum or minimum. The contribution of this paper is to propose a new theoretical background for their evaluations based on an arithmetic on gradual numbers (Nƒ,Zƒ,Qƒ).
Rocznik
Strony
395--417
Opis fizyczny
Bibliogr. 19 poz., rys.
Twórcy
autor
autor
Bibliografia
  • BOSC, P. and LIETARD, L. (2005) A general technique to measure gradual properties of fuzzy sets. Proc. of the 11th World Congress of the International Fuzzy Systems Association (IFSA05), Beijing, China, 485-490.
  • BOSC, P. and PIVERT, O. (1992) Some Approaches for Relational Databases Flexible Querying. Journal of Intelligent Information Systems 1, 323-354.
  • BOSC, P. and PIVERT, O. (1995) SQLf: A relational database language for fuzzy querying. IEEE Transactions on Fuzzy Systems 3, 1-17.
  • DELGADO, M., SANCHEZ, D. and VILA, M.P. (2000) Fuzzy cardinality based evaluation of quantified sentences. International Journal of Approximate Reasoning 23, 23-66.
  • DIAZ-HERMIDA, F., BUGARIN, A. and BARRO, S. (2003) Definition and classification of semi-fuzzy quantifiers for the evaluation fuzzy quantified sentences. International Journal of Approximate Reasoning 34, 49-88.
  • DUBOIS, D. and PRADE, H. (1985) Fuzzy cardinality and the modeling of imprecise quantification. Fuzzy Sets and Systems 16, 199-230.
  • DUBOIS, D. and PRADE, H. (1987) Fuzzy numbers: an overview. Analysis of fuzzy information. Mathematics and Logics I, 3-39.
  • DUBOIS, D. and PRADE, H. (2005) Fuzzy elements in a fuzzy set. In: Proceedings of the 11th World Congress of the Inter. Fuzzy Systems Assoc. (IPSA ‘05) , Beijing, China.
  • GLOCKNER, I. (1997) DPS-An axiomatic approach to fuzzy quantification. Technical Report TR97-06, University of Bielefeld.
  • GLOCKNER, I. (2004) Fuzzy Quantifiers in Natural Language Semantics and Computational Models. Der Andere Verlag (Germany).
  • GLOCKNER, I. (2004) Evaluation of quantified propositions in generalized models of fuzzy quantification. International Journal of Approximate Reasoning 37, 93-126.
  • LIETARD, L. and ROCACHER, D. (2005) A generalization of the OWA operator to evaluate non monotonic quantifiers. Proc. of the 4th Conference of the European Society for Fuzzy Logic and Technologic and 14éme Rencontres francophones sur la logique floues et ses applications (EUSFLAT05 and LFA05), 183-188.
  • LOSADA, D.E., DIAZ-HERMIDA, F. and BUGARIN, A. (2006) Semi-fuzzy Quantifiers for Information Retrieval. In: E. Herrera-Viedma, G. Pasi and F. Crestani, eds., Soft Computing in Web Information Retrieval. Springer Berlin, Heidelberg, 195-220.
  • ROCACHER, D. (2003) On fuzzy bags and their application to flexible querying. Fuzzy Sets and Systems 140 (1), 93-110.
  • ROCACHER, D. and BOSC, P. (2003) About Zf, the set of fuzzy relative integers, and the definition of fuzzy bags on Zf. LNCS 2715, Springer-Verlag, 95-102.
  • ROCACHER, D. and Bosc, P. (2005) The set of fuzzy rational numbers and flexible querying. Fuzzy Sets and Systems 155 (3), 317-339.
  • WYGRALAK, M. (1999) Questions of cardinality of finite fuzzy sets. Fuzzy Sets and Systems 102, 185-210.
  • ZADEH, L.A. (1965) Fuzzy sets. Inform. Contr. 8, 338-353.
  • ZADEH, L.A. (1983) A computational approach to fuzzy quantifiers in natural languages. Computer Mathematics with Applications 9, 149-183.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0040-0004
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