On approximation of classifications, rough equalities and rough equivalences

Studies in Computational Intelligence

Volumn 174, Issue , 2009, Pages 85-133

  Tripathy, B K ^a  

^a VIT UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 58149229379     PISSN: 1860949X     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-89921-1_4     Document Type: Article

References (45)

1. Aikins, J.S.: Prototyping Knowledge for Expert Systems. Artificial Intelligence 20, 163-210 (1983)
2. Banerjee, M., Chakraborty, M.K.: Rough Consequence and Rough Algebra in Rough Sets. In: Ziarko, W.P. (ed.) Fuzzy Sets and Knowledge Discovery, RSKD 1993, Banf, Canada, pp. 196-207. Springer, Heidelberg (1994)
3. Bobrow, D.G.: A Panel on Knowledge Representation. In: Proceeding of Fifth International Joint Conference on Artificial Intelligence, Carnegie - Melon University, Pittsburgh, PA (1977)
4. Bobrow, D.G., Wingograd, T.: An Overview of KRL: A Knowledge Representation Language. Journal of Cognitive Sciences 1, 3-46 (1977)
5. Bonikowski, Z.: A Certain Conception of the Calculus of Rough sets. Notre Dame Journal of Formal Logic 33, 412-421 (1992)
6. Brachman, R.J., Smith, B.C.: Special Issue of Knowledge Representation. SIGART News Letter 70, 1-138 (1980)
7. Brachman, R.J., Levesque, H.J. (eds.): Reading in Knowledge Representation. Morgan Kaufmann Publishers Inc., San Francisco (1986)
8. Chakraborty, M.K., Banerjee, M.: Rough Dialogue and Implication Lattices. Fundamenta Informetica 75(1-4), 123-139 (2007)
9. Davis, R., Leant, D.: Knowledge-Based Systems in Artificial Intelligence. McGraw-Hill, New York (1982)
10. Dubois, D., Prade, H.: Rough fuzzy sets and fuzzy rough sets. International Journal on General Systems 17(2-3), 191-208 (1990)
11. Grzymala-Busse, J.W.: On the Reduction of Knowledge representation Systems. In: Proceeding of 6th International Workshop on Expert Systems and their Applications, Avignon, France, April 28-30, vol. 1, pp. 463-478 (1986)
12. Grzymala-Busse, J.: Knowledge Acquisition under Uncertainty - a rough set approach. Journal of Intelligence and Robotics Systems 1, 3-16 (1988)
13. Grzymala-Busse, J.W.: Characteristic relations for incomplete data: A generalization of the indiscernibility relation. In: Peters, J.F., Skowron, A. (eds.) Transactions on Rough Sets IV. LNCS, vol. 3700, pp. 58-68. Springer, Heidelberg (2005)
14. Grzymala-Busse, J.W.: Incomplete data and generalization of indiscernibility relation, definability, and approximations. In: Ślezak, D., Wang, G., Szczuka, M.S., Düntsch, I., Yao, Y. (eds.) RSFDGrC 2005. LNCS (LNAI), vol. 3641, pp. 244-253. Springer, Heidelberg (2005)
15. Halpern, J. (ed.): Theoretical Aspect of Reasoning about Knowledge, Proceeding of the 1986 Conference. Morgan Kaufman, Los Altos (1986)
16. Kryszkiewicz, M.: Rough set approach to Incomplete Information System. In: Proceedings of the second annual joint Conference on Information Sciences, Wrightsville Beach, NC, September 28 - October 01, pp. 194-197 (1995)
17. Kryszkiewicz, M.: Properties of Incomplete Information System in the frame work of Rough set. In: Polkowski, L., Skowron, A. (eds.) Rough set in Knowledge Discovery - I: Methods and applications. studies in Fuzziness and Soft Computing, vol. 18, pp. 422-450. Physica-Verlag, Heidelberg (1998)
18. Kryszkiewicz, M.: Rules in Incomplete Information System. Information Sciences 113, 271-292 (1999)
19. Mamdani, A., Efstathion, Pang, D.: Inference under Uncertainty, Expert System. In: Proceeding of Fifth Tech. Conference of British Computer Society, Specialist Group on Expert Systems, pp. 181-194 (1985)
20. Minski, M.: A Framework for Representation Knowledge. In: Winston, P. (ed.) The Psychology of Computer Vision, pp. 211-277. McGraw-Hill, New York (1975)
21. Newell, A.: The Knowledge Level. Artificial Intelligence 18, 87-127
22. Nguyen, H.S., Nguyen, S.H.: Rough Set and Association Rule Generation. Fundamenta Informetica 40(4), 383-405 (1999)
23. Novotny, M., Pawlak, Z.: Characterization of Rough Top Equalities and Rough Bottom Equalities. Bulletin Polish Acad. Sci. Math. 33, 91-97 (1985)
24. Novotny, M., Pawlak, Z.: On Rough Equalities. Bulletin Polish Acad. Sci. Math. 33, 99-104 (1985)
25. Novotny, M., Pawlak, Z.: Black Box Analysis and Rough Top Equality. Bulletin Polish Academy of Sci. Math. 33, 105-113 (1985)
26. Pawlak, Z.: Rough Sets - Basic Notations, Institute Comp. Sci., Polish Academy of Sciences, Rep. No. 431, Warshaw (1981)
27. Pawlak, Z.: Rough sets. International Journal of Information and Computer Science 11, 341-356 (1982)
28. Pawlak, Z.: Rough Classification. International Journal of Man Machine Studies 20, 469-483 (1983)
29. Pawlak, Z.: Rough sets and Fuzzy sets. Fuzzy sets and system 17, 90-102 (1985)
30. Pawlak, Z.: Rough sets - Theoretical aspects of reasoning about data. Kluwer academic publishers, Dordrecht (1991)
31. Pawlak, Z., Skowron, A.: Rudiments of rough sets. Information Sciences - An International Journal 177(1), 3-27 (2007)
32. Pawlak, Z., Skowron, A.: Rough sets: Some extensions. Information Sciences - An International Journal 177(1), 28-40 (2007)
33. Pawlak, Z., Skowron, A.: Rough sets and Boolean reasoning. Information Sciences - An International Journal 177(1), 41-73 (2007)
34. Pomykala, J., Pomykala, J.A.: The stone algebra of rough set. Bulletin of Polish Academy of Sciences Mathematics 36, 495-508 (1988)
35. Quinlan, J.R.: Consistency and Plausible Reasoning. In: Proceeding of 8th IJCAI, Karlsruhe, West Germany, pp. 137-144 (1983)
36. Steforowski, J., Tsoukias, A.: Incomplete Information Tables and Rough Classifications. Computational Intelligence 17, 545-566 (2001)
37. Tripathy, B. K., Mitra, A.: Topological Properties of Rough Sets and Applications (Communicated to International Journal of Granular Computing, Rough Sets and Intellegent Systems.)
38. Tripathy, B.K., Mitra, A., Ojha, J.: On Rough Equalites and Rough Equivalence of Sets. In: RSCTC 2008, Akron, USA, October 23-25 (accepted for presentation in 2008)
39. Tripathy, B.K., Mitra, A.: Comparative Study of Knowledge Representation using Rough sets and their Algebraic properties. In: Proceeding of the National Conference on Research Prospects in Knowledge Mining, Anamalai University, India, March 2-3, pp. 1-6 (2008)
40. Tripathy. B. K., Ojha. J., Mohanty. D.:ON Approximation of classification and rough comparison of Rough Sets (Communicated to Foundations of Computing and Decision Sciences) (2008)
41. Waiilewska. A.: Topological Rough Algebra in Rough set and Data Mining. Analysis of Imperfect Knowledge, 411-425
42. Waiilewska, A., Vigneson, L.: Rough Equality Algebra. In: Proceedings of the second annual joint Conference on Information Sciences, Wrightsville Beach, NC, October 28 - October 01, pp. 26-36 (1995)
43. Waiilewska, A., Vigneson, L.: Rough Algebra and Automated Deduction. In: Polkowski, L., Skowron, A. (eds.) Rough set in Knowledge Discovery - I: methods and applications. studies in Fuzziness and Soft Computing, vol. 18, pp. 261-275. Physica-Verlag, Heidelberg (1998)
44. Yager, R.R.: Approximate Reasoning as a basis for Rule Based Expert Systems. IEEE transaction on Systems, Man and Cybernetic 14, 636-643 (1984)
45. Zadeh, L.A.: Fuzzy sets. Information and control 8, 338-353 (1965)