Rough sets and Brouwer-Zadeh lattices

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

Volumn 4062 LNAI, Issue , 2006, Pages 200-207

  Dai, Jianhua ^a   Chen, Weidong ^a   Pan, Yunhe ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

Brouwer Zadeh lattices; Orthocomplementation; Rough sets

Indexed keywords

APPROXIMATION THEORY; ARTIFICIAL INTELLIGENCE; KNOWLEDGE ENGINEERING; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; PROBLEM SOLVING;

APPROXIMATION SPACE; BROUWER-ZADEH LATTICES; ORTHOCOMPLEMENTATION; ROUGH TOP EQUATION;

ROUGH SET THEORY;

EID: 33746696019     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1016/j.bbrc.2006.07.031     Document Type: Conference Paper

References (20)

1. Pawlak, Z.: Rough Sets-Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, Dordrecht (1991)
2. Lin, T.Y., Liu, Q.: Rough approximate operators: axiomatic rough set theory. In: Ziarko, W.P., Ed., Rough Sets, Fuzzy Sets and Knowledge Discovery. SpringerVerlag, Berlin (1994) 256-260
3. Yao, Y.Y.: Constructive and algebraic methods of the theory of rough sets. Information Sciences, 109 (1998) 21-47
4. Zhu, W., Wang, F.Y.: Reduction and axiomization of covering generalized rough sets. Information Sciences, 152 (2003) 217-230
5. Duntsch, I.: Rough relation algebras. Fundamenta Informace, 21 (1994) 321-331
6. Duntsch, I.: Rough sets and algebra of relations. In: Orlowska, E., Ed., Incomplete Information: Rough Set Analysis, Physica-Verlag, Herdelberg (1998) 95-108
7. Cattaneo, G., Giuntini, R., Pilla, R.: BZMVdM algebras and stonian MV-algebras. Fuzzy Sets and Systems, 108 (1999) 201-222
8. Cattaneo, G., Ciucci, D.: Heyting Wajsberg algebras as an abstract environnent linking fuzzy and rough sets. In: Proceedings of the Third International Conference on Rough Sets and Current Trends in Computing (RSCTC2002), Malvern, PA, USA (2002) 77-84
9. Jarvinen, J.: On the structure of rough approximations. In: Proceedings of the Third International Conference on Rough Sets and Current Trends in Computing (RSCTC2002), Malvern, PA, USA (2002) 123-130
10. Dai, J. H.: Structure of rough approximations based on molecular lattices. In: Proceedings of the Forth International Conference on Rough Sets and Current Trends in Computing (RSCTC2004), Uppsala, Sweden (2004) 69-77
11. Iwiński, T. B.: Algebraic approach to rough sets. Bulletin of the Polish Academy of Sciences: Mathematics, 35 (1987) 673-683
12. Pomykala, J., Pomykala, J. A.: The Stone algebra of rough sets. Bulletin of the Polish Academy of Sciences: Mathematics, 36 (1988) 495-508
13. Gehrke, M., Walker, E.: On the structure of rough sets. Bulletin of the Polish Academy of Sciences: Mathematics, 40 (1992) 235-255
14. Comer, S.: On connections between information systems, rough sets and algebraic logic. In: Rauszer, C., Ed., Algebraic Methods in Logic and Computer Science. Banach Center Publications, Warsaw (1993) 117-124
15. Pagliani, P.: Rough sets and Nelson algebras. Fundamenta Informaticae, 27 (1996) 205-219
16. Banerjee, M., Chakraborty, M. K.: Rough sets through algebraic logic. Fundamenta Informaticae, 28 (1996) 211-221
17. Iturrioz, L.: Rough sets and 3-valued structures. In: Orlowska, E., Ed., Logic at Work. Springer-Verlag, Herdelberg (1998) 596-603
18. Pagliani, P.: Rough set theory and logic-algebraic structures. In: Orlowska, E., Ed., Incomplete Information: Rough Set Analysis, Physica-Verlag, Herdberg (1998) 109-190
19. Dai, J. H., Pan, Y. H.: On rough algebras. Journal of Software, 16 (2005) 1197-1204(in Chinese)
20. Dai, J. H.: Logic for rough sets with rough double Stone algebraic semantics. In: Proceedings of the Tenth International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing (RSFDGrC2005), Regina, Canada (2005) 141-148