Similarity relations in concept lattices

Journal of Logic and Computation

Volumn 10, Issue 6, 2000, Pages 823-845

  Bělohlávek, Radim ^a,b  

^a UNIVERSITY OF OSTRAVA   (Czech Republic)

^b VSB TECHNICAL UNIVERSITY OF OSTRAVA   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

BOOLEAN ALGEBRA; COMPUTATIONAL COMPLEXITY; CONFORMAL MAPPING; DATA REDUCTION; FUZZY SETS; KNOWLEDGE REPRESENTATION; MATHEMATICAL MODELS; THEOREM PROVING;

CONCEPT LATTICES; FACTORIZATION; FUZZY CONCEPTS; RESIDUAL LATTICES;

FORMAL LOGIC;

EID: 17744400485     PISSN: 0955792X     EISSN: None     Source Type: Journal    
DOI: 10.1093/logcom/10.6.823     Document Type: Article

References (22)

1. A. Arnauld and P. Nicole. La logique ou l'art de penser. 1662. (Also in German: Die Logik oder die Kunst des Denkens. Darmstadt, 1972).
2. A. Arnauld and P. Nicole. La logique ou l'art de penser. 1662. (Also in German: Die Logik oder die Kunst des Denkens. Darmstadt, 1972).
3. R. Bělohlávek. Lattices generated by binary fuzzy relations. Tatra Mountains Mathematical Publications, 16, 11-19, 1999 (special issue on fuzzy sets).
4. R. Bělohlávek. Fuzzy Galois connections. Mathematical Logic Quarterly, 45, 497-504, 1999.
5. R. Bělohlávek. Lattices of fixed points of fuzzy Galois connections. Mathematical Logic Quarterly, to appear.
6. I. Chajda. Algebraic Theory of Tolerance Relations. Palacký University Press, Olomouc (Czech Republic), 1995.
7. G. Czédli. Factor lattices by tolerances. Acta Scientiarum Mathematicum, 44, 35-42, 1982.
8. B. Ganter and R. Wille. Formal Concept Analysis. Mathematical Foundations. Springer-Verlag, Berlin, 1999.
9. J. A. Goguen. L-fuzzy sets. Journal of Mathematical Analysis and Applications, 18, 145-174, 1967.
10. J. A. Goguen. The logic of inexact concepts. Synthese, 18, 325-373, 1968-69.
11. P. Hájek. Metamathematics of Fuzzy Logic. Kluwer, 1998.
12. P. Hájek. Ten questions and one problem on fuzzy logic. Annals of Pure and Applied Logic, 96, 157-163, 1999.
13. U. Höhle. On the fundamentals of fuzzy set theory. Journal of Mathematical Analysis and Applications, 201, 786-826, 1996.
14. G. J. Klir and B. Yuan. Fuzzy Sets and Fuzzy Logic. Theory and Applications. Prentice Hall, 1995.
15. V. Novák, I. Perfilieva and J. Močkoř. Mathematical Principles of Fuzzy Logic. Kluwer, 1999.
16. E. Tugendhat and U. Wolf. Logisch-semantische Propädautik. Philipp Reclam jun., Stuttgart 1986.
17. M. Ward and R. P. Dilworth. Residuated lattices. Transactions of the American Mathematical Society, 45, 335-354, 1939.
18. R. Wille. Restructuring lattice theory: an approach based on hierarchies of concepts. In Ordered Sets, I. Rival, ed. pp. 445-470. Reidel, Dordrecht, Boston, 1982.
19. R. Wille. Complete tolerance relations of concept lattices. In Contributions to General Algebra, vol. 3. G. Eigenthaler, H. K. Kaiser, W. B. Müller, W. Nöbaner, eds. pp. 397-415. Hölder-Pichler-Tempsky, Wien, 1985.
20. R. Wille. Concept lattices and conceptual knowledge systems. Computers & Mathematics with Applications, 23, 493-515, 1992.
21. L. A. Zadeh. Similarity relations and fuzzy orderings. Information Sciences, 3, 159-176, 1971.
22. L. A. Zadeh. Towards a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic. Fuzzy Sets and Systems, 90, 2, 1997.