Four-valued extension of rough sets

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

Volumn 5009 LNAI, Issue , 2008, Pages 106-114

  Vitória, Aida ^a   Szałas, Andrzej ^a,b   Małuszyński, Jan ^a  

^a LINKÖPING UNIVERSITY   (Sweden)

^b UNIVERSITY OF WARSAW   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; KNOWLEDGE ACQUISITION; MEMBERSHIP FUNCTIONS; OBJECT RECOGNITION;

ELEMENTARY SETS; LOGICAL VALUES; ROUGH SET APPROXIMATIONS;

ROUGH SET THEORY;

EID: 44649104597     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-79721-0_19     Document Type: Conference Paper

References (19)

1. Andersson, R., Vitória, A., Małuszyński, J., Komorowski, J.: Rosy: A rough knowledge base system. In: Śłkezak, D., Yao, J., Peters, J.F., Ziarko, W., Hu, X. (eds.) RSFDGrC 2005. LNCS (LNAI), vol. 3642, pp. 48-58. Springer, Heidelberg (2005)
2. Arieli, O., Avron, A.: The value of the four values. Artificial Intelleligence 102(1), 97-141 (1998)
3. Banerjee, M.: Rough sets and three-valued łukasiewicz logic. Fundamenta Informaticae 32, 213-220 (1997)
4. Belnap, N.: A useful four-valued logic. In: Eptein, G., Dunn, J. (eds.) Modern Uses of Many Valued Logic, Reidel, pp. 8-37 (1977)
5. Bole, L., Borowik, P.: Many-Valued Logics, 1. Theoretical Foundations. Springer, Berlin (1992)
6. Doherty, P., Łukaszewicz, W., Szałas, A.: Tolerance spaces and approximative representational structures. In: Günter, A., Kruse, R., Neumann, B. (eds.) KI 2003. LNCS (LNAI), vol. 2821, pp. 475-489. Springer, Heidelberg (2003)
7. Doherty, P., Łukaszewicz, W., Szałas, A.: Communication between agents with heterogeneous perceptual capabilities. Journal of Information Fusion 8(1), 56-69 (2007)
8. Doherty, P., Łukaszewicz, W., Skowron, A., Szałas, A.: Knowledge Representation Techniques. In: A Rough Set Approach. Studies in Fuziness and Soft Computing, vol. 202, Springer, Heidelberg (2006)
9. Doherty, P., Szałas, A.: On the correspondence between approximations and similarity. In: Tsumoto, S., Słowiński, R., Komorowski, J., Grzymała-Busse, J.W. (eds.) RSCTC 2004. LNCS (LNAI), vol. 3066, pp. 143-152. Springer, Heidelberg (2004)
10. Doherty, P., Szałas, A.: A correspondence framework between three-valued logics and similarity-based approximate reasoning. Fundamenta Informaticae 75(1-4), 179-193 (2007)
11. Dubois, D., Prade, H.: Putting rough sets and fuzzy sets together. Intelligent Decision Support: Handbook of Applications and Advances of the Rough Sets Theory, pp. 203-232. Kluwer, Dordrecht (1992)
12. Fitting, M.C: Bilattices in logic programming. In: Epstein, G. (ed.) 20th International Symposium on Multiple-Valued Logic, pp. 238-247. IEEE CS Press, Los Alamitos (1990)
13. Ginsberg, M.: Multivalued logics: a uniform approach to reasoning in AI. Computational Intelligence 4, 256-316 (1988)
14. Maluszyński, J., Szałas, A., Vitória, A.: A four-valued logic for rough set-like approximate reasoning. In: Peters, J.R, Skowron, A., Düntsch, I., Grzymała-Busse, J.W., Orłowska, E., Polkowski, L. (eds.) Transactions on Rough Sets VI. LNCS, vol. 4374, pp. 176-190. Springer, Heidelberg (2007)
15. Pawlak, Z.: Rough Sets. Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, Dordrecht (1991)
16. Rescher, N.: Many-Valued Logic. McGraw Hill, New York (1969)
17. Skowron, A., Stepaniuk, J.: Tolerance approximation spaces. Fundamenta Informaticae 27, 245-253 (1996)
18. Słowiński, R., Vanderpooten, D.: A generalized definition of rough approximations based on similarity. IEEE Trans. on Data and Knowledge Engineering. 12(2), 331-336 (2000)
19. Vitória, A.: A framework for reasoning with rough sets. In: Peters, J.R, Skowron, A. (eds.) Transactions on Rough Sets IV. LNCS, vol. 3700, pp. 178-276. Springer, Heidelberg (2005)