On fuzzy bags and their application to flexible querying

Fuzzy Sets and Systems

Volumn 140, Issue 1, 2003, Pages 93-110

  Rocacher, Daniel ^a  

^a CAMPUS DE BEAULIEU   (France)

Author keywords

Bags; Flexible querying; Fuzzy bags; Fuzzy cardinality; Fuzzy integer; Fuzzy sets

Indexed keywords

DATABASE SYSTEMS; INTEGER PROGRAMMING; QUERY LANGUAGES;

FLEXIBLE QUERYING;

FUZZY SETS;

EID: 0141929555     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(03)00029-0     Document Type: Article

References (33)

1. J. Albert, Algebraic properties of bag data types, Proc. 17th Internat. Conf. on Very Large Data Bases, Barcelona, 1991, pp. 211-219.
2. N. Blanchard, Théories cardinales et ordinales des ensembles flous, Ph.D. Thesis, University of Lyon I, 1981.
3. Blizard W.D. The development of multiset theory. Modern logic. 1:1991;319-352.
4. P. Bosc, F. Connan, D. Rocacher, Flexible querying in multimedia databases with an Object Query Language, Proc. 7th Internat. Conf. on Fuzzy Systems (FUZZ IEEE'98), Anchorage, 1998, pp. 1308-1313.
5. Bosc P., Pivert O. SQLf. a relational database language for fuzzy querying IEEE Trans. Fuzzy Systems. 3(1):1995;1-17.
6. P. Bosc, D. Rocacher, About difference operation on fuzzy bags, Proc. 9th Internat. Conf. on Information Processing Management of Uncertainty in Knowledge-based Systems (IPMU'02), Annecy, France, 2002, pp. 1541-1546.
7. Chakrabarty K., Biswas R., Nanda S. On Yager's theory of bags and fuzzy bags. Comput. Artif. Intell. 18(1):1999;1-17.
8. F. Connan, Interrogation flexible de bases de données multimédias, Ph.D. Thesis, University of Rennes I, 1999.
9. F. Connan, D. Rocacher, Flexible queries in object-oriented databases: on the study of bags, Proc. 8th Internat. Conf. on Fuzzy Systems (FUZZ IEEE'99), Seoul, Korea, 1999, pp. 615-620.
10. D. Dubois, H. Prade, Fuzzy sets and systems, theory and applications, Mathematics in Science and Engineering, vol. 144, Academic Press, London, 1980.
11. D. Dubois, H. Prade, Inverse operations for fuzzy numbers, Proc. IFAC Symp. on Fuzzy Information, Knowledge Representation and Decision Analysis, Pergamon Press, Oxford, 1983, pp. 391-396.
12. Dubois D., Prade H. Fuzzy set theoretic differences and inclusions and their use in the analysis of fuzzy equations. Control Cybernet. 13(3):1984;129-145.
13. Dubois D., Prade H. Fuzzy cardinality and modeling of imprecise quantification. Fuzzy Sets and Systems. 16(3):1985;199-230.
14. D. Dubois, H. Prade, F. Sédes, Some uses of fuzzy logic in multimedia database querying, Proc. 8th Internat. Conf. on Fuzzy Systems (FUZZ IEEE'99), Seoul, 1999, pp. 586-591.
15. Goguen J.A. L-fuzzy sets. J. Math. Appl. 18:1967;145-174.
16. P.W.P.J. Grefen, R.A. DeBy, A multi-set extended relational algebra: a formal approach to a practical issue, Proc. Internat. Conf. on Data Engineering, Houston, TX, USA, 1994, pp. 80-88.
17. S. Grumbach, T.M. Milo, Towards tractable algebra for Bags, Proc. 12th ACM Symp. on Principles of Database Systems, Washington, DC, 1993, pp. 49-58.
18. K.S. Kim, S. Miyamoto, Application of fuzzy multisets to fuzzy database systems, Proc. 1996 Asian Fuzzy Systems Symp., Taïwan, 1996, pp. 115-120.
19. Klir G.J., Yuan B. Fuzzy Sets and Fuzzy Logic: Theory and Applications. 1995;Prentice-Hall, Englewood Cliff, NJ.
20. D.E. Knuth, The Art of Computer Programming, vol. 2, Addison-Wesley, Reading, MA, 1981.
21. Medina J.M., Pons O., Vila M.A. GEFRED. a Generalized model of fuzzy relational databases Inform. Sci. 76(1-2):1994;87-109.
22. S. Miyamoto, Fuzzy multisets and fuzzy clustering of documents, Proc. 10th Internat. Conf. on Fuzzy Systems (FUZZ IEEE'01), Melbourne, Australia, 2001, pp. 1539-1542.
23. S. Miyamoto, Generalized multisets and rough approximations, Proc. 11th Internat. Conf. on Fuzzy Systems (FUZZ IEEE'02), Honolulu, Hawaii, 2002.
24. Ralescu D. Cardinality, quantifiers and aggregation of fuzzy criteria. Fuzzy Sets and Systems. 69:1995;355-365.
25. D. Rocacher, On the use of fuzzy numbers in flexible querying, Proc. 9th IFSA World Congr. and 20th NAFIPS International, Vancouver, Canada, 2001, pp. 2440-2445.
26. D. Rocacher, About division operation on fuzzy bags, Proc. 11th Internat. Conf. on Fuzzy Systems (FUZZ IEEE'02), Honolulu, Hawaii, 2002.
27. Sanchez E. Solutions of fuzzy equations with extended operations. Fuzzy Sets and Systems. 12:1984;237-248.
28. G.M. Shaw, S.B. Zdonik, A query algebra for object-oriented databases, Proc. 6th Internat. Conf. on Data Engineering IEEE, 1990, pp. 154-162.
29. Wygralack M. Fuzzy cardinals based on the generalized equality of fuzzy subsets. Fuzzy Sets and Systems. 18:1986;143-158.
30. Yager R. On the theory of bags. Internat. J. Gen. Sys. 13:1986;23-27.
31. Yager R. Cardinality of fuzzy sets via bags. Math. Modelling. 9(6):1987;441-446.
32. Zadeh L.A. The concept of linguistic variable and its application to approximate reasoning. Inform. Sci. 8:1975;199-249.
33. Zadeh L.A. A computational approach to fuzzy quantifiers in natural languages. Comput. Math. Appl. 9:1983;149-184.