Fuzzy formal concept analysis via multilattices: First prospects and results

CEUR Workshop Proceedings

Volumn 972, Issue , 2012, Pages 69-79

  Medina, J ^a   Ruiz Calvino J ^b  

^a UNIVERSITY OF CÁDIZ   (Spain)

^b UNIVERSITY OF CÓRDOBA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

INFORMATION ANALYSIS; LATTICE THEORY;

ALGEBRAIC STRUCTURES; FUZZY CONCEPT; GENERAL STRUCTURES; TRUTH VALUES;

FORMAL CONCEPT ANALYSIS;

EID: 84922752877     PISSN: 16130073     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (23)

1. R. Bělohlávek. Lattice generated by binary fuzzy relations (extended abstract). In 4th Intl Conf on Fuzzy Sets Theory and Applications, page 11, 1998.
2. R. Bělohlávek. Concept lattices and order in fuzzy logic. Annals of Pure and Applied Logic, 128:277-298, 2004.
3. M. Benado. Les ensembles partiellement ordonnés et le théorème de raffinement de Schreier, II. Théorie des multistructures. Czechoslovak Mathematical Journal, 5(80):308-344, 1955.
4. A. Burusco and R. Fuentes-González. The study of L-fuzzy concept lattice. Math-ware & Soft Computing, 3:209-218, 1994.
5. P. Cordero, G. Gutiérrez, J. Martínez, and I. P. de Guzmán. A new algebraic tool for automatic theorem provers. Annals of Mathematics and Artificial Intelligence, 42(4):369-398, 2004.
6. M. Cornejo, J. Medina, and E. Ramírez. A comparative study of adjoint triples. Fuzzy Sets and Systems, 2012.
7. C. Damásio, J. Medina, and M. Ojeda-Aciego. Sorted multi-adjoint logic programs: Termination results and aplications. In Logics in Artificial Intelligence, JELIA'04, pages 252-265. Lecture Notes in Artificial Intelligence, 3229, 2004.
8. C. Damásio, J. Medina, and M. Ojeda-Aciego. Termination of logic programs with imperfect information: applications and query procedure. Journal of Applied Logic, 5:435-458, 2007.
9. B. Davey and H. Priestley. Introduction to Lattices and Order. Cambridge University Press, second edition, 2002.
10. E. Diday and R. Emilion. Maximal and stochastic galois lattices. Discrete Applied Mathematics, 127(2):271-284, 2003.
11. R. P. Dilworth and M. Ward. Residuated lattices. Transactions of the American Mathematical Society, 45:335-354, 1939.
12. B. Ganter and R. Wille. Formal Concept Analysis: Mathematical Foundation. Springer Verlag, 1999.
13. G. Georgescu and A. Popescu. Concept lattices and similarity in non-commutative fuzzy logic. Fundamenta Informaticae, 53(1):23-54, 2002.
14. D. Hansen. An axiomatic characterization of multilattices. Discrete Mathematics, 1:99-101, 1981.
15. S. Krajči. The basic theorem on generalized concept lattice. In V. Snásel and R. Bělohlávek, editors, International Workshop on Concept Lattices and their Applications, CLA 2004, pages 25-33, 2004.
16. S. Krajči. A generalized concept lattice. Logic Journal of IGPL, 13(5):543-550, 2005.
17. J. Martínez, G. Gutiérrez, I. de Guzmán, and P. Cordero. Generalizations of lattices looking at computation. Discrete Mathematics, 295:107-141, 2005.
18. J. Medina, M. Ojeda-Aciego, and J. R.-C. no. Fuzzy logic programming via multilattices. Fuzzy Sets and Systems, 158:674-688, 2007.
19. J. Medina, M. Ojeda-Aciego, and J. Ruiz-Calviño. Relating generalized concept lattices with concept lattices for non-commutative conjunctors. Applied Mathematics Letters, 21(12):1296-1300, 2008.
20. J. Medina, M. Ojeda-Aciego, and J. Ruiz-Calviño. Formal concept analysis via multi-adjoint concept lattices. Fuzzy Sets and Systems, 160(2):130-144, 2009.
21. J. Medina, M. Ojeda-Aciego, and P. Vojtáš. Similarity-based unification: a multi-adjoint approach. Fuzzy Sets and Systems, 146:43-62, 2004.
22. S. Pollandt. Fuzzy Begriffe. Springer, Berlin, 1997.
23. R. Wille. Restructuring lattice theory: an approach based on hierarchies of concepts. In I. Rival, editor, Ordered Sets, pages 445-470. Reidel, 1982.