Monotonic behavior of entropies and co-entropies for coverings with respect to different quasi-orderings

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

Volumn 4585 LNAI, Issue , 2007, Pages 584-593

  Bianucci, Daniela ^a   Cattaneo, Gianpiero ^a  

^a UNIVERSITY OF MILANO BICOCCA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; INFORMATION SYSTEMS; NUMERICAL METHODS; PROBLEM SOLVING;

MONOTONIC BEHAVIOR; POINTWISE APPROACH; QUASI-ORDERING;

ROUGH SET THEORY;

EID: 37749030276     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-73451-2_61     Document Type: Conference Paper

References (10)

1. Bianucci, D., Cattaneo, G., Ciucci, D.: Entropies and co-entropies of coverings with application to incomplete information systems. Fundamenta Informaticae 75, 77-105 (2007)
2. Birkhoff, G.: Lattice theory, 3rd edn. American Mathematical Society, vol. XXV. American Mathematical Society Colloquium Publication, Providence, Rhode Island (1967)
3. Cattaneo, G.: Abstract approximation spaces for rough theories. In: Polkowski and Skowron, pp. 59-98 [PS98]
4. Cattaneo, G., Ciucci, D.: Investigation about Time Monotonicity of Similarity and Preclusive Rough Approximations in Incomplete Information Systems. In: Tsumoto, S., Slowinski, R., Komorowski, J., Grzymala-Busse, J.W. (eds.) RSCTC 2004. LNCS (LNAI), vol. 3066, pp. 38-48. Springer, Heidelberg (2004)
5. Huang, B., He, X., Zhong, X.: Rough entropy based on generalized rough sets covering reduction. Journal of Software 15, 215-220 (2004)
6. Liang, J., Xu, Z.: Uncertainty measure of randomness of knowledge and rough sets in incomplete information systems. In: Proc. of the 3rd World Congress on Intelligent Control and Automata. Intelligent Control and Automata 4, 2526-2529 (2000)
7. Pawlak, Z.: Information systems - theoretical foundations. Information Systems 6, 205-218 (1981)
8. Polkowski, L., Skowron, A. (eds.): Rough sets in knowledge discovery 1. Physica-Verlag, Heidelberg, New York (1998)
9. Shannon, C.E.: A mathematical theory of communication. The Bell System Technical Journal 27, 379-423, 623-656 (1948)
10. Zhu, W., Wang, F.-Y.: Reduction and axiomization of covering generalized rough sets. Information Sciences 152(1), 217-230 (2003)