Flexible queries in relational databases - The example of the division operator

Theoretical Computer Science

Volumn 171, Issue 1-2, 1997, Pages 281-302

  Bose, Patrick ^a   Dubois, Didier ^b   Pivert, Olivier ^a   Prade, Henri ^b  

^a CAMPUS DE BEAULIEU   (France)

^b IRIT   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DATABASE SYSTEMS; FUZZY SETS; LOGIC PROGRAMMING; QUERY LANGUAGES;

FLEXIBLE QUERIES; MULTIPLE-VALUED LOGIC; POSSIBILITY THEORY;

RELATIONAL DATABASE SYSTEMS;

EID: 0030790590     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0304-3975(96)00132-6     Document Type: Article

References (27)

1. W. Bandler and L.J. Kohout, Fuzzy relational products as a tool for analysis and synthesis of the behavior of complex natural and artificial systems, in: P.P. Wang and S.K. Chang, eds., Fuzzy Sets - Theory and Applications to Policy Analysis and Information Systems (Plenum Press, New York, 1980) 341-367.
2. D. Barbará, H. Garcia-Molina and D. Porter, The management of probabilistic data, IEEE Trans. Knowledge Data Eng. 4 (1992) 487-502.
3. P. Bosc, M. Galibourg and G. Hamon, Fuzzy querying with SQL: extensions and implementation aspects, Fuzzy Sets and Systems 28 (1988) 333-349.
4. P. Bosc and O. Pivert, Some approaches for relational databases flexible querying, J. Intelligent Inform. Systems 1 (1992) 323-354.
5. P. Bosc and O. Pivert, SQLf: a relational database language for fuzzy querying, IEEE Trans. Fuzzy Systems 3 (1995) 1-17.
6. B.P. Buckles and F.E. Petry, A fuzzy representation of data for relational databases, Fuzzy Sets and Systems 5 (1982) 213-226.
7. D. Chamberlin et al., SEQUEL2: a unified approach to data definition, manipulation and control, IBM J. Res. Dev. 20 (1976) 560-575.
8. E.F. Codd, A relational model of data for large shared data banks, Commun. ACM 13 (1970) 377-387.
9. B. De Baets and E.E. Kerre, Fuzzy relational compositions, Fuzzy Sets and Systems 60 (1993) 109-120.
10. D. Dubois and H. Prade, Weighted minimum and maximum operations in fuzzy set theory, Inform. Sci. 39 (1986) 205-210.
11. D. Dubois and H. Prade (with the collaboration of H. Farreny, R. Martin-Clouaire and C. Testemale), Possibility Theory - An Approach to Computerized Processing of Uncertainty (Plenum Press, New York, 1988).
12. D. Dubois and H. Prade, Measuring properties of fuzzy sets: A general technique and its use in fuzzy query evaluation, Fuzzy Sets and Systems 38 (1990) 137-152.
13. D. Dubois and H. Prade, Fuzzy sets in approximate reasoning - Part 1: inference with possibility distributions, Fuzzy Sets and Systems 40 (1991) 143-202.
14. D. Dubois and H. Prade, Upper and lower images of a fuzzy set induced by a fuzzy relation: Application to fuzzy inference and diagnosis, Inform. Sci. 64 (1992) 203-232.
15. D. Dubois and H. Prade, Quotient operators in fuzzy relational databases, in: Proc. of the 2nd Europ. Congress on Fuzzy and Intelligent Techniques (EUFIT' 94), Aachen, Germany, 1994, 357-360. Revised version entitled: Semantics of quotient operators in fuzzy relational databases, Fuzzy Sets and Systems 78 (1995) 89-94.
16. D. Dubois and H. Prade, Quotient operators in fuzzy relational databases, in: Proc. of the 2nd Europ. Congress on Fuzzy and Intelligent Techniques (EUFIT' 94), Aachen, Germany, 1994, 357-360. Revised version entitled: Semantics of quotient operators in fuzzy relational databases, Fuzzy Sets and Systems 78 (1995) 89-94.
17. D. Dubois, H. Prade and P. Smets Partial truth is not uncertainty: fuzzy logic versus possibilistic logic, IEEE Expert 9 (1994b) 15-19.
18. W. Kim, On optimizing an SQL-like nested queries, ACM Trans. Database Systems 7 (1986) 443-469.
19. N. Mouaddib, The nuanced relational division, in: Proc. of the 2nd IEEE Inter. Conf. on Fuzzy Systems (FUZZ-IEEE'93) San Francisco, CA (1993) 1419-1424.
20. H. Prade and C. Testemale, Generalizing database relational algebra for the treatment of incomplete/uncertain information and vague queries, Inform. Sci. 34 (1984) 115-143.
21. M. Umano, FREEDOM-0: a fuzzy database system, in: M.M. Gupta and E. Sanchez eds., Fuzzy Information and Decision Processes (North-Holland, Amsterdam, 1982) 339-347.
22. M. Umano and S. Fukami, Fuzzy relational algebra for possibility-distribution-fuzzy-relational model of fuzzy data, J. Intelligent Inform. Systems 3 (1994) 7-28.
23. R. Vandenberghe, A. Van Schooten, R. De Caluwe and E.E. Kerre, Some practical aspects of fuzzy database techniques: an example, Inform. Systems 14 (1989) 465-472.
24. E.A. Wong, Statistical approach to incomplete information in database systems, ACM Trans. Database Systems 7 (1982) 470-488.
25. R.R. Yager, On ordered weighted averaging aggregation operators in multicriteria decisionmaking, IEEE Trans. Systems, Man Cybernet. 18 (1988) 183-190.
26. R.R. Yager, Fuzzy quotient operators for fuzzy relational databases, in: Proc. Internat. Fuzzy Engineering Symp. (IFES'91), Yokohama, Japan, (1991), 289-296.
27. L.A. Zadeh, Fuzzy sets, Inform. Control 8 (1965) 338-353.