Fuzzy concept lattices determined by (θ,σ)-fuzzy rough approximation operators

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

Volumn 5589 LNAI, Issue , 2009, Pages 601-609

  Yao, Yan Qing ^a   Mi, Ju Sheng ^a  

^a HEBEI NORMAL UNIVERSITY   (China)

Author keywords

( and ) fuzzy rough sets; Approximation operators; Fuzzy concept lattices; Lukasiewicz implicator

Indexed keywords

APPROXIMATION OPERATORS; BASIC PROPERTIES; CONCEPT LATTICES; FORMAL CONCEPT ANALYSIS; FUZZY CONCEPT; FUZZY CONCEPT LATTICES; FUZZY ROUGH APPROXIMATION OPERATORS; GALOIS CONNECTION; IMPLICATOR; LUKASIEWICZ IMPLICATOR; ROUGH SET ANALYSIS;

FORMAL LOGIC; FUZZY SETS;

ROUGH SET THEORY;

EID: 69049092078     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-02962-2_76     Document Type: Conference Paper

References (14)

1. Zhang, W.X., Qiu, G.F.: Uncertain Decision Making Based on Rough Sets. Tsinghua University Press, Beijing (2005) (in Chinese)
2. Ganter, B., Wille, R.: Formal Concept Analysis: Mathematical Foundations. Springer, Berlin (1999)
3. Bělohlávek, R., Outrata, J., Vychodil, V.: Thresholds and shifted attributes in formal concept analysis of data with fuzzy attributes. In: Schärfe, H., Hitzler, P., Øhrstrøm, P. (eds.) ICCS 2006. LNCS (LNAI), vol. 4068, pp. 117-130. Springer, Heidelberg (2006)
4. Zhang, W.X., Ma, J.M., Fan, S.Q.: Variable threshold concept lattices. Inform. Sci. 177, 4883-4892 (2007)
5. Belohlavek, R., Vychodil, V.: Reducing the size of fuzzy concept lattices by hedges. In: FUZZ-IEEE 2005, The IEEE International Conference on Fuzzy Systems, Reno, Nevada, USA, pp. 663-668 (2005)
6. Ben Yahia, S., Jaoua, A.: Discovering knowledge from fuzzy concept lattice. In: Kandel, A., Last, M., Bunke, H. (eds.) Data Mining and Computational Intelligence, pp. 167-190. Physica-Verlag (2001)
7. Boixader, D., Jacas, J., Recasens, J.: Upper and lower approximations off fuzzy sets. International Journal of General Systems 29, 555-568 (2000)
8. Dubois, D., Prade, H.: Rough fuzzy sets and fuzzy rough sets. International Journal of General Systems 17, 191-208 (1990)
9. Kuncheva, L.I.: Fuzzy rough sets: application to feature selection. Fuzzy Sets and Systems 51, 147-153 (1992)
10. Morsi, N.N., Yakout, M.M.: Axiomatics for fuzzy rough sets. Fuzzy Sets and Systems 100, 327-342 (1998)
11. Mi, J.S., Zhang, W.X.: An axiomatic characterization of a fuzzy generalization of rough sets. Inform. Sci. 160, 235-249 (2004)
12. Wu, W.Z., Leung, Y., Mi, J.S.: On characterizations of (I, T )-fuzzy rough approximation operators. Fuzzy Sets and Systems 154, 76-102 (2005)
13. Yao, Y.Y.: Concept Lattices in Rough Set Theory. In: Dick, S., Kurgan, L., Pedrycz, W., Reformat, M. (eds.) Proceedings of 2004 Annual Meeting of the North American Fuzzy Information Processing Society (NAFIPS 2004), pp. 796-801. IEEE Press, Now York (2004)
14. Gediga, G., Düntsch, I.: Modal-style operators in qualitative data analysis. In: Proceedings of the 2002 IEEE International Conference on Data Mining, pp. 155-162 (2002)