Attribute implications in a fuzzy setting

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 3874 LNAI, Issue , 2006, Pages 45-60

  Bělohlávek, Radim ^a   Vychodil, Vilém ^a  

^a PALACKÝ UNIVERSITY   (Czech Republic)

Author keywords

Attribute implication; Concept lattice; Functional dependency; Fuzzy logic

Indexed keywords

COMPUTER SCIENCE; DATABASE SYSTEMS; FORMAL LOGIC;

ATTRIBUTE IMPLICATION; CONCEPT LATTICE; FUNCTIONAL DEPENDENCY;

FUZZY SETS;

EID: 33745539470     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11671404_3     Document Type: Conference Paper

References (35)

1. Abiteboui S. et al.: The Lowell database research self-assessment. Communications of ACM 48(5)(2005), 111-118.
2. Armstrong W. W.: Dependency structures in data base relationships. IFIP Congress, Geneva, Switzerland, 1974, pp. 580-583.
3. Bělohlávek R.: Similarity relations in concept lattices. J. Logic Comput. 10(6):823-845, 2000.
4. Bělohlávek R.: Fuzzy Relational Systems: Foundations and Principles. Kluwer, Academic/Plenum Publishers, New York, 2002.
5. Bělohlávek R.: Concept lattices and order in fuzzy logic. Ann. Pure Appl. Logic 128(2004), 277-298.
6. Bělohlávek R.: Algorithms for fuzzy concept lattices. Proc. Fourth Int. Conf. on Recent Advances in Soft Computing. Nottingham, United Kingdom, 12-13 December, 2002, pp, 200-205.
7. B̌lohlávek R., Chlupová M., Vychodil V.: Implications from data with fuzzy attributes. AISTA 2004 in Cooperation with the IEEE Computer Society Proceedings, 2004, 5 pages, ISBN 2-9599776-8-8.
8. Bělohlávek R., Funioková T., Vychodil V.: Fuzzy closure operators with truth stressers. Logic Journal of IGPL (to appear).
9. Bělohlávek R., Vychodil V.: Implications from data with fuzzy attributes vs. scaled binary attributes. In: FUZZ-IEEE 2005, The IEEE International Conference on Fuzzy Systems, May 22-25, 2005, Reno (Nevada, USA), pp, 1050-1055 (proceedings on CD), abstract in printed proceedings, p. 53, ISBN 0-7803-9158-6.
10. Bělohlávek R., Vychodil V.: Reducing the size of fuzzy concept lattices by hedges. In: FUZZ-IEEE 2005, The IEEE International Conference on Fuzzy Systems, May 22-25, 2005, Reno (Nevada, USA), pp. 663-668 (proceedings on CD), abstract in printed proceedings, p. 44, ISBN 0-7803-9158-6.
11. Bělohlávek R., Vychodil V.: Fuzzy attribute logic: attribute implications, their validity, entailment, and non-redundant basis. In: Liu Y., Chen G., Ying M. (Eds.): Fuzzy Logic, Soft. Computing & Computational Intelligence: Eleventh International Fuzzy Systems Association World Congress (Vol. I), 2005, pp. 622-627. Tsinghua University Press and Springer, ISBN 7-302-11377-7.
12. Bělohlávek R., Vychodil V.: Fuzzy attribute logic: syntactic entailment and completeness. In: JCIS 2005, 8th Joint Conference on Information Sciences, July 21-26, Salt Lake City, Utah, USA, pp. 78-81.
13. Bělohlávek R., Vychodil V.: Reducing attribute implications from data tables with fuzzy attributes to tables with binary attributes. In: JCIS 2005, 8th Joint Conference on Information Sciences, July 21-26, Salt Lake City, Utah, USA, pp. 82-85.
14. Bělohlávek R., Vychodil V.: What is a fuzzy concept lattice? Proc. CLA 2005, September 7-9, 2005, Olomouc, Czech Republic, pp. 34-45.
15. Bělohlávek R., Vychodil V.: Fuzzy attribute implications: computing non-redundant bases using maximal independent sets. In: S. Zhang and R. Jarvis (Eds.): AI 2005, LNAI 3809, pp. 1126-1129, Springer-Verlag, Berlin/Heidelberg, 2005
16. Bělohlávek R., Vychodil V.: Axiomatizations of fuzzy attribute logic. IICAI 2005, Pune, India (to appear).
17. Bělohlávek R., Vychodil V.: Functional dependencies of data tables over domains with similarity relations. IICAI 2005, Pune, India (to appear).
18. Buckles B. P., Petry F. E.: Fuzzy databases in the new era. Proceedings of the 1995 ACM symposium on Applied computing, pp. 497-502, Nashville, Tennessee, ISBN 0-89791-658-1, 1995.
19. Cubero J. C., Vila M. A.: A new definition of fuzzy functional dependency in fuzzy relational datatabses. Int. J. Intelligent Systems 9(5) (1994), 441-448.
20. Ganter B.: Begriffe und Implikationen, manuscript, 1998.
21. Ganter B.: Algorithmen zur formalen Begriffsanalyse. In: Ganter B., Wille R., Wolff K. E. (Hrsg.): Beiträge zur Begriffsanalyse. B. I. Wissenschaftsverlag, Mannheim, 1987, 241-254.
22. Ganter B., Wille R.: Formal Concept Analysis. Mathematical Foundations. Springer, Berlin, 1999.
23. Gerla G.: Fuzzy Logic. Mathematical Tools for Approximate Reasoning. Kluwer, Dordrecht, 2001.
24. Goguen J. A.: The logic of inexact concepts. Synthese 18(1968-9), 325-373.
25. Guigues J.-L., Duquenne V.: Families minimales d'implications informatives resultant d'un tableau de données binaires. Math. Sci. Humaines 95(1986), 5-18.
26. Hájek P.: Metamathematics of Fuzzy Logic. Kluwer, Dordrecht, 1998.
27. Hájek P.: On very true. Fuzzy Sets and Systems 124(2001), 329-333.
28. Klir G. J., Yuan B.: Fuzzy Sets and Fuzzy Logic. Theory and Applications. Prentice Hall, 1995.
29. Maier D.: The Theory of Relational Databases. Computer Science Press, Rockville, 1983.
30. Pavelka J.: On fuzzy logic I, II, III. Z. Math. Logik Grundlagen Math. 25(1979), 45-52, 119-134, 447-464.
31. Pollandt S.: Fuzzy Begriffe. Springer-Verlag, Berlin/Heidelberg, 1997.
32. Prade H., Testemale C.: Generalizing database relational algebra for the treatment of incomplete or uncertain information and vague queries. Information Sciences 34(1984), 115-143.
33. Raju K. V. S. V. N., Majumdar A. K.: Fuzzy functional dependencies and lossless join decomposition of fuzzy relational database systems. ACM Trans. Database Systems Vol. 13, No. 2, 1988, pp. 129-166.
34. Takeuti G., Titani S.: Globalization of intuitionistic set theory. Annals of Pure and Applied Logic 33(1987), 195-211.
35. Tyagi B. K., Sharfuddin A., Dutta R. N., Tayal D. K.: A complete axiomatization of fuzzy functional dependencies using fuzzy function. Fuzzy Sets and Systems 151(2)(2005), 363-379.