On possible generalization of fuzzy concept lattices using dually isomorphic retracts

Information Sciences

Volumn 210, Issue , 2012, Pages 89-98

  Pócs, Jozef ^a,b  

^a INSTITUTE OF CHEMISTRY   (Slovakia)

^b TECHNICAL UNIVERSITY OF KO ICE   (Slovakia)

Author keywords

Concept lattice with hedges; Fuzzy concept lattice; Weak Galois connection

Indexed keywords

CLOSURE SYSTEMS; COMPLETE LATTICES; CONCEPT LATTICES; FUZZY CONCEPT; GALOIS CONNECTION; INTERIOR OPERATOR;

FENCES; FORMAL LOGIC;

INFORMATION ANALYSIS;

EID: 84862657503     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2012.05.004     Document Type: Article

References (21)

1. R. Bělohlávek Lattices generated by binary fuzzy relations Tatra Mt. Math. Publ. 16 1999 11 19
2. R. Bělohlávek Fuzzy Galois connections Math. Log. Quart. 45 4 1999 497 504
3. R. Bělohlávek, T. Funioková, and V. Vychodil Galois connections with hedges Proceedings of World Congress of International Fuzzy Systems Association 2005 vol. II 2005 Springer Heidelberg, Beijing, China 1250 1255
4. R. Bělohlávek, V. Vychodil, Reducing the size of fuzzy concept lattices by hedges, in: The 2005 IEEE International Conference on Fuzzy Systems, 2005, pp. 663-668. (Pubitemid 41189586)
5. R. Bělohlávek, V. Vychodil, What is a fuzzy concept lattice? in: Proceedings of the Conference on Concept Lattices and their Applications, 2005, pp. 34-45.
6. R. Bělohlávek, and V. Vychodil Fuzzy concept lattices constrained by hedges J. Adv. Comput. Intell. Intell. Inform. 11 6 2007 536 545
7. A. Burusco, and R. Fuentes-González Concept lattices defined from implication operators Fuzzy Sets Syst. 114 2000 431 436
8. B. Ganter, and R. Wille Formal Concept Analysis. Mathematical Foundations 1999 Springer Berlin
9. G. Georgescu, and A. Popescu Closure operators and concept equations in non-commutative fuzzy logic Tatra Mt. Math. Publ. 27 2003 67 90
10. G. Georgescu, and A. Popescu Non-dual fuzzy connections Arch. Math. Logic 43 2004 1009 1039 (Pubitemid 40900223)
11. J. Konecny Isotone fuzzy Galois connections with hedges Inform. Sci. 181 10 2011 1804 1817
12. S. Krajči A generalized concept lattice Logic J. IGPL 13 5 2005 543 550 (Pubitemid 44592774)
13. S. Krajči, Every concept lattice with hedges is isomorphic to some generalized concept lattice, in: Proceedings of the Conference on Concept Lattices and their Applications 2005, pp. 1-9.
14. J. Medina, and M. Ojeda-Aciego Multi-adjoint t-concept lattices Inform. Sci. 180 5 2010 712 725
15. J. Medina, M. Ojeda-Aciego, and J. Ruiz-Calviño Formal concept analysis via multi-adjoint concept lattices Fuzzy Sets Syst. 160 2009 130 144
16. J. Pócs Note on generating fuzzy concept lattices via Galois connections Inform. Sci. 185 1 2012 128 136
17. S. Pollandt Fuzzy Begriffe 1997 Springer Berlin
18. A. Popescu A general approach to fuzzy concepts Math. Logic Quart. 50 3 2004 265 280 (Pubitemid 40004273)
19. Z. Shmuely The structure of Galois connections Pac. J. Math. 54 2 1974 209 225
20. A. Tarski A lattice-theoretical fixpoint theorem and its applications Pac. J. Math. 5 2 1955 285 309
21. M. Ward, and R.P. Dilworth Residuated lattices Trans. Am. Math. Soc. 45 3 1939 335 354