Stochastic dominance-based rough set model for ordinal classification

Information Sciences

Volumn 178, Issue 21, 2008, Pages 4019-4037

  Kotłowski, Wojciech ^a   Dembczyński, Krzysztof ^a   Greco, Salvatore ^b   Słowiński, Roman ^a,c  

^a POZNAN UNIVERSITY OF TECHNOLOGY   (Poland)

^b UNIVERSITY OF CATANIA   (Italy)

^c SYSTEMS RESEARCH INSTITUTE   (Poland)

Author keywords

Dominance based rough set approach; Empirical risk minimization; Isotonic regression; Maximum likelihood estimation; Monotonicity constraints; Multiple criteria decision analysis; Ordinal classification; Statistical decision theory; Variable consistency models

Indexed keywords

ADMINISTRATIVE DATA PROCESSING; CLASSIFICATION (OF INFORMATION); DECISION MAKING; DECISION SUPPORT SYSTEMS; DECISION THEORY; FOOD PROCESSING; FUZZY SETS; GAME THEORY; MANAGEMENT INFORMATION SYSTEMS; MANAGEMENT SCIENCE; MAXIMUM LIKELIHOOD ESTIMATION; OPERATIONS RESEARCH; PROBABILITY; RISK ASSESSMENT; RISK PERCEPTION; SET THEORY; STOCHASTIC MODELS; STOCHASTIC PROGRAMMING;

DECISION ANALYSIS; DECISION RULES; DOMINANCE-BASED ROUGH SET APPROACH; EMPIRICAL RISK MINIMIZATION; EMPIRICAL RISKS; ISOTONIC REGRESSION; MAXIMUM LIKELIHOOD METHOD; MONOTONICITY CONSTRAINTS; MULTI-CRITERIA; MULTIPLE CRITERIA DECISION ANALYSIS; ORDINAL CLASSIFICATION; PROBABILISTIC MODEL; REAL-LIFE PROBLEMS; ROUGH APPROXIMATIONS; ROUGH SET MODELS; ROUGH SETS; STATISTICAL DECISION THEORY; STOCHASTIC DOMINANCE; VARIABLE CONSISTENCY MODELS;

ROUGH SET THEORY;

EID: 49849088318     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2008.06.013     Document Type: Article

References (32)

1. Bellman R. Adaptive Control Processes: A Guided Tour (1961), Princeton University Press
2. Berger J. Statistical Decision Theory and Bayesian Analysis (1993), Springer-Verlag, New York
3. Błaszczyński J., Greco S., Słowiński R., and Szela{ogonek}g M. Monotonic variable consistency rough set approaches. Lecture Notes in Computer Science 4481 (2007) 126-133
4. Boros E., Hammer P.L., and Hooker J.N. Boolean regression. Annals of Operations Research 58 (1995) 3
5. Chandrasekaran R., Ryu Y.U., Jacob V., and Hong S. Isotonic separation. INFORMS Journal of Computational 17 (2005) 462-474
6. Dembczyński K., Greco S., and Słowinski R. Second-order rough approximations in multi-criteria classification with imprecise evaluations and assignments. Lecture Notes in Artificial Intelligence 3641 (2005) 54-63
7. Dembczyński K., Greco S., Kotłowski W., and Słowiński R. Quality of Rough Approximation in Multi-Criteria Classification Problems. Lecture Notes in Computer Science 4259 (2006), Springer pp. 318-327
8. Dembczyński K., Greco S., Kotłowski W., and Słowiński R. Optimized generalized decision in dominance-based rough set approach. Lecture Notes in Computer Science 4481 (2007) 118-125
9. Doumpos M., and Pasiouras F. Developing and testing models for replicating credit ratings: a multicriteria approach. Computational Economics 25 4 (2005) 327-341
10. Duda R., and Hart P. Pattern Classification (2000), Wiley-Interscience, New York
11. Greco S., Matarazzo B., and Słowiński R. A new rough set approach to evaluation of bankruptcy risk. In: Zopounidis C. (Ed). Operational Tools in the Management of Financial Risks (1998), Kluwer Academic Publishers, Dordrecht 121-136
12. Greco S., Matarazzo B., and Słowiński R. Rough approximation of a preference relation by dominance relations. European Journal of Operational Research 117 (1999) 63-83
13. Greco S., Matarazzo B., and Słowiński R. Rough sets theory for multicriteria decision analysis. European Journal of Operational Research 129 1 (2001) 1-47
14. Greco S., Matarazzo B., Słowiński R., and Stefanowski J. Variable consistency model of dominance-based rough set approach. In: Ziarko W., and Yao Y. (Eds). Rough Sets and Current Trends in Computing. Lecture Notes in Artificial Intelligence vol. 2005 (2001), Springer-Verlag, Berlin 170-181
15. Greco S., Matarazzo B., and Słowiński R. Rough set approach to customer satisfaction analysis. Lecture Notes in Computer Science 4259 (2006) 284-295
16. Greco S., Słowiński R., and Yao Y. Bayesian decision theory for dominance-based rough set approach. Lecture Notes in Computer Science 4481 (2007) 134-141
17. Hastie T., Tibshirani R., and Friedman J. The Elements of Statistical Learning (2003), Springer
18. Papadimitriou C.H., and Steiglitz K. Combinatorial Optimization (1998), Dover Publications, New York
19. Pawlak Z. Rough sets. International Journal of Information and Computer Sciences 11 (1982) 341-356
20. Pawlak Z. Rough sets and intelligent data analysis. Information Sciences 147 1-4 (2002) 1-12
21. Pawlak Z. Rough sets, decision algorithms and Bayes' theorem. European Journal of Operational Research 136 1 (2002) 181-189
22. Pawlak Z., and Skowron A. Rough sets. Some extensions. Information Sciences 177 1 (2007) 341-356
23. Potharst R., and Feelders A.J. Classification trees for problems with monotonicity constraints. SIGKDD Explorations 4 1 (2002) 1-10
24. Robertson T., Wright F.T., and Dykstra R.L. Order Restricted Statistical Inference (1998), John Wiley & Sons
25. Ryu Y.U., Chandrasekaran R., and Jacob V. Data classification using the isotonic seeparation technique: application to breast cancer prediction. European Journal of Operational Research 181 2 (2007) 842-854
26. J. Sill, Monotonicity and connectedness in learning systems. Ph.D. dissertation, California Institute of Technology, 1997.
27. Ślezak D., and Ziarko W. The investigation of the Bayesian rough set model. International Journal of Approximate Reasoning 40 1-2 (2005) 81-91
28. Yang X., Yang J., Wu C., and Yu D. Dominance-based rough set approach and knowledge reductions in incomplete ordered information system. Information Sciences 178 4 (2008) 1219-1234
29. Yao Y., and Wong S. A decision theoretic framework for approximating concepts. International Journal of Man-Machine Studies 37 6 (1992) 793-809
30. Yao Y. Probabilistic approaches to rough sets. Expert Systems 20 5 (2003) 287-297
31. Ziarko W. Set approximation quality measures in the variable precision rough set model. Soft Computing Systems, Management and Applications (2001), IOS Press pp. 442-452
32. Ziarko W. Probabilistic Rough Sets. Lecture Notes in Artificial Intelligence 3641 (2005), Springer-Verlag pp. 283-293