Préférences et quantités dans le cadre de l'interrogation flexible : sur la prise en compte d'expressions quantifiées

Based on fuzzy set theory, flexible querying enables users to express preferences inside requirements. Quantifications and preferences on data have led us to define the notion of fuzzy integers ( f). This framework has been extended (to f and f ) in order to dealing with queries based on difference or division operations. In this paper we study how to define fuzzy order relations between such fuzzy numbers. This approach applies to quantified statements of type “Q X are A” and “Q B X are A” and provides a new theoretical background for their interpretations.

[1]  Patrick Bosc,et al.  The set of fuzzy rational numbers and flexible querying , 2005, Fuzzy Sets Syst..

[2]  Jan Chomicki,et al.  Preference formulas in relational queries , 2003, TODS.

[3]  L. Zadeh A COMPUTATIONAL APPROACH TO FUZZY QUANTIFIERS IN NATURAL LANGUAGES , 1983 .

[4]  Masahito Hirakawa,et al.  ARES: A relational database with the capability of performing flexible interpretation of queries , 1986, IEEE Transactions on Software Engineering.

[5]  Patrick Bosc,et al.  SQLf: a relational database language for fuzzy querying , 1995, IEEE Trans. Fuzzy Syst..

[6]  Janusz Kacprzyk,et al.  Database Queries with Fuzzy Linguistic Quantifiers , 1986, IEEE Transactions on Systems, Man, and Cybernetics.

[7]  Ludovic Lietard,et al.  A generalization of the OWA operator to evaluate non monotonic quantifiers , 2005, EUSFLAT Conf..

[8]  Patrick Bosc,et al.  Quantified Statements and Database Fuzzy Querying , 1995 .

[9]  Radko Mesiar,et al.  Triangular norms. Position paper II: general constructions and parameterized families , 2004, Fuzzy Sets Syst..

[10]  References , 1971 .

[11]  Thomas Whalen,et al.  Parameterized R-implications , 2003, Fuzzy Sets Syst..

[12]  Werner Kießling,et al.  Preference SQL - Design, Implementation, Experiences , 2002, VLDB.

[13]  Amihai Motro,et al.  VAGUE: a user interface to relational databases that permits vague queries , 1988, TOIS.

[14]  R. Yager ON THE THEORY OF BAGS , 1986 .

[15]  Daniel Rocacher,et al.  On fuzzy bags and their application to flexible querying , 2003, Fuzzy Sets Syst..

[16]  Gianfranco Lamperti,et al.  On Multisets in Database Systems , 2000, WMP.

[17]  Francois Connan Interrogation flexible de bases de donnees multimedias , 1999 .

[18]  D. Dubois,et al.  FUZZY NUMBERS: AN OVERVIEW , 1993 .

[19]  Maciej Wygralak Questions of cardinality of finite fuzzy sets , 1999, Fuzzy Sets Syst..

[20]  Daniel Rocacher,et al.  Les multi-ensembles flous, un concept générique pour l'interrogation flexible de bases de données objet , 2000, BDA.

[21]  Joseph Albert,et al.  Algebraic Properties of Bag Data Types , 1991, VLDB.

[22]  Ronald R. Yager,et al.  On ordered weighted averaging aggregation operators in multicriteria decisionmaking , 1988, IEEE Trans. Syst. Man Cybern..

[23]  Sadaaki Miyamoto Fuzzy multisets and fuzzy clustering of documents , 2001, 10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297).

[24]  M. Lacroix,et al.  Preferences; Putting More Knowledge into Queries , 1987, VLDB.

[25]  D. Dubois,et al.  Fuzzy cardinality and the modeling of imprecise quantification , 1985 .

[26]  Lotfi A. Zadeh,et al.  A COMPUTATIONAL APPROACH TO FUZZY QUANTIFIERS IN NATURAL LANGUAGES , 1983 .

[27]  D. Rocacher,et al.  Flexible queries in object-oriented databases: on the study of bags , 1999, FUZZ-IEEE'99. 1999 IEEE International Fuzzy Systems. Conference Proceedings (Cat. No.99CH36315).

[28]  Patrick Bosc A General Technique to Measure Gradual Properties of Fuzzy Sets , 2006 .

[29]  Donald Kossmann,et al.  The Skyline operator , 2001, Proceedings 17th International Conference on Data Engineering.