Rough algebras and 3-valued lukasiewicz algebras

Jisuanji Xuebao/Chinese Journal of Computers

Volumn 30, Issue 2, 2007, Pages 161-167

  Dai, Jian Hua ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

3 valued Lukasiewicz algebra; Information system; Operator; Rough algebras; Rough sets

Indexed keywords

ALGEBRA; DATA MINING; INFORMATION SYSTEMS; LEARNING SYSTEMS; MATHEMATICAL OPERATORS; PATTERN RECOGNITION;

3 VALUED LUKASIEWICZ ALGEBRA; ALGEBRAIC METHOD; APPROXIMATION SPACE ALGEBRA; OPERATOR; PREROUGH ALGEBRA; ROUGH ALGEBRAS; ROUGH DOUBLE STONE ALGEBRA; ROUGH NELSON ALGEBRA; SEMI SIMPLE NELSON ALGEBRA;

ROUGH SET THEORY;

EID: 34147207652     PISSN: 02544164     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. Pawlak Z. Rough Sets - Theoretical Aspects of Reasoning About Data. Dordrecht: Kluwer Academic Publishers, 1991
2. Pawlak Z, Grzymala-Busse J, Slowinski R, Ziarko W. Rough sets. Communications of the ACM, 1995, 38(11): 89-95
3. Dai Jian-Hua, Pan Yun-He. On rough algebras. Journal of Software, 2005, 16(7): 1197-1204 (in Chinese)
4. Yao Y Y. Constructive and algebraic methods of the theory of rough sets. Information Sciences, 1998, 109(1-4): 21-47
5. Jarvinen J. On the structure of rough approximations//Proceedings of the 3rd International Conference on Rough Sets and Current Trends in Computing (RSCTC 2002). Malvern, PA, USA, 2002: 123-230
6. Dai Jian-Hua. Structure of rough approximations based on molecular lattices//Proceedings of the 4th International Conference on Rough Sets and Current Trends in Computing (RSCTC 2004). Uppsala, Sweden, 2004: 69-77
7. Dai Jian-Hua. Generalization of rough set theory using molecular lattices. Chinese Journal of Computers, 2004, 27(10): 1436-1440 (in Chinese)
8. Pomykala J, Pomykala J A. The Stone algebra of rough sets. Bulletin of the Polish Academy of Sciences: Mathematics, 1988, 36(7-8): 495-508
9. Comer S. On connections between information systems, rough sets, and algebraic logic//Rauszer C. Algebraic Methods in Logic and Computer Science. Warsaw: Banach Center Publications, 1993: 117-124
10. Banerjee M. Rough sets through algebraic logic. Fundamenta Informaticae, 1996, 28(3-4): 211-221
11. Pagliani P. Rough sets and Nelson algebras. Fundamenta Informaticae, 1996, 27(2-3): 205-219
12. Boicescu V, Filipoiu A, Georgescu R, Rudeanu S. Lukasiwicz-Moisil Algebras. Amsterdam-New York-Oxford-Tokyo: North Holland, 1991
13. Epstein G. Multiple-Valued Logic Design. London: IOP Publishing Ltd, 1993
14. Dai Jian-Hua, Chen Wei-Dong, Pan Yun-He. Sequent calculus system for rough sets based on rough Stone algebras//Proceedings of the 1st IEEE International Conference on Granular Computing (IEEE GrC2005). Beijing, 2005: 423-426
15. Dai Jian-Hua. Logic for rough sets with rough double Stone algebraic semantics//Proceedings of the 10th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing (RSFDGrC 2005). Regina, Canada, 2005: 141-148