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Three Approaches to Missing Attribute Values: A Rough Set Perspective

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Data Mining: Foundations and Practice

Part of the book series: Studies in Computational Intelligence ((SCI,volume 118))

Summary

A new approach to missing attribute values, based on the idea of an attribute-concept value, is studied in the paper. This approach, together with two other approaches to missing attribute values, based on “do not care” conditions and lost values are discussed using rough set methodology, including attribute-value pair blocks, characteristic sets, and characteristic relations. Characteristic sets are generalization of elementary sets while characteristic relations are generalization of the indiscernibility relation. Additionally, three definitions of lower and upper approximations are discussed and used for induction of certain and possible rules.

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References

  1. C. C. Chan and J. W. Grzymala-Busse: On the attribute redundancy and the learning programs ID3, PRISM, and LEM2. Department of Computer Science, University of Kansas, TR-91-14, December 1991, 20

    Google Scholar 

  2. S. Greco, B. Matarazzo, and R. Slowinski: Dealing with missing data in rough set analysis of multi-attribute and multi-criteria decision problems. In Decision Making: Recent Developments and Worldwide Applications, ed. by S. H. Zanakis, G. Doukidis, and Z. Zopounidis, Kluwer, Dordrecht, 2000, 295–316

    Google Scholar 

  3. J. W. Grzymala-Busse: Knowledge acquisition under uncertainty – A rough set approach. Journal of Intelligent and Robotic Systems 1, 1988, 3–16

    Article  MathSciNet  Google Scholar 

  4. J. W. Grzymala-Busse: On the unknown attribute values in learning from examples. Proc. of the ISMIS-91, 6th International Symposium on Methodologies for Intelligent Systems, Charlotte, North Carolina, October 16–19, 1991. Lecture Notes in Artificial Intelligence, vol. 542, Springer, Berlin Heidelberg New York, 1991, 368–377

    Google Scholar 

  5. J. W. Grzymala-Busse: LERS – A system for learning from examples based on rough sets. In Intelligent Decision Support. Handbook of Applications and Advances of the Rough Sets Theory, ed. by R. Slowinski, Kluwer, Dordrecht, 1992, 3–18

    Google Scholar 

  6. J. W. Grzymala-Busse. MLEM2: A new algorithm for rule induction from imperfect data. Proceedings of the 9th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2002, July 1–5, Annecy, France, 243–250

    Google Scholar 

  7. J. W. Grzymala-Busse. Rough set strategies to data with missing attribute values. Proceedings of the Workshop on Foundations and New Directions in Data Mining, Associated with the Third IEEE International Conference on Data Mining, Melbourne, FL, November 19–22, 2003, 56–63

    Google Scholar 

  8. J. W. Grzymala-Busse. Characteristic relations for incomplete data: A generalization of the indiscernibility relation. Proceedings of the RSCTC’2004, the Fourth International Conference on Rough Sets and Current Trends in Computing, Uppsala, Sweden, June 1–5, 2004. Lecture Notes in Artificial Intelligence 3066, Springer, Berlin Heidelberg New York, 2004, 244–253

    Google Scholar 

  9. J. W. Grzymala-Busse. Data with missing attribute values: Generalization of idiscernibility relation and rule induction. Transactions on Rough Sets, Lecture Notes in Computer Science Journal Subline, Springer Berlin Heidelberg New York, vol. 1, 2004, 78–95

    Google Scholar 

  10. J. W. Grzymala-Busse. Three approaches to missing attribute values – A rough set perspective. Proceedings of the Workshop on Foundation of Data Mining, associated with the 4th IEEE International Conference on Data Mining, Brighton, UK, November 1–4, 2004, 55–62

    Google Scholar 

  11. J. W. Grzymala-Busse and M. Hu. A comparison of several approaches to missing attribute values in data mining. Proceedings of the 2nd International Conference on Rough Sets and Current Trends in Computing RSCTC’2000, Banff, Canada, October 16–19, 2000, 340–347

    Google Scholar 

  12. J. W. Grzymala-Busse and S. Siddhaye. Rough set approaches to rule induction from incomplete data. Proceedings of the IPMU’2004, the 10th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, Perugia, Italy, July 4–9, 2004, vol. 2, 923–930

    Google Scholar 

  13. J. W. Grzymala-Busse and A. Y. Wang: Modified algorithms LEM1 and LEM2 for rule induction from data with missing attribute values. Proceedings of the 5th International Workshop on Rough Sets and Soft Computing (RSSC’97) at the 3rd Joint Conference on Information Sciences (JCIS’97), Research Triangle Park, NC, March 2–5, 1997, 69–72

    Google Scholar 

  14. M. Kryszkiewicz: Rough set approach to incomplete information systems. Proceedings of the 2nd Annual Joint Conference on Information Sciences, Wrightsville Beach, NC, September 28–October 1, 1995, 194–197

    Google Scholar 

  15. M. Kryszkiewicz: Rules in incomplete information systems. Information Sciences 113, 1999, 271–292

    Article  MATH  MathSciNet  Google Scholar 

  16. T. Y. Lin: Neighborhood systems and approximation in database and knowledge base systems. 4th International Symposium on Methodologies of Intelligent Systems (Poster Sessions), Charlotte, North Carolina, October 12–14, 1989, 75–86

    Google Scholar 

  17. T. Y. Lin: Chinese wall security policy – An aggressive model. Proceedings of the 5th Aerospace Computer Security Application Conference, Tucson, Arizona, December 4–8, 1989, 286–293

    Google Scholar 

  18. T. Y. Lin: Topological and fuzzy rough sets. In Intelligent Decision Support. Handbook of Applications and Advances of the Rough Sets Theory, ed. by R. Slowinski, Kluwer, Dordrecht, 1992, 287–304

    Google Scholar 

  19. Z. Pawlak: Rough sets. International Journal of Computer and Information Sciences 11, 1982, 341–356

    Article  MATH  MathSciNet  Google Scholar 

  20. Z. Pawlak: Rough Sets. Theoretical Aspects of Reasoning about Data. Kluwer, Dordrecht, 1991

    MATH  Google Scholar 

  21. J. R. Quinlan. C4.5: Programs for Machine Learning. Morgan Kaufmann, Los Altos, CA, 1993

    Google Scholar 

  22. R. Slowinski and D. Vanderpooten. A generalized definition of rough approximations based on similarity. IEEE Transactions on Knowledge and Data Engineering 12, 2000, 331–336

    Article  Google Scholar 

  23. J. Stefanowski: Algorithms of Decision Rule Induction in Data Mining. Poznan University of Technology Press, Poznan, Poland, 2001

    Google Scholar 

  24. J. Stefanowski and A. Tsoukias: On the extension of rough sets under incomplete information. Proceedings of the 7th International Workshop on New Directions in Rough Sets, Data Mining, and Granular-Soft Computing, RSFDGrC’1999, Ube, Yamaguchi, Japan, November 8–10, 1999, 73–81

    Google Scholar 

  25. J. Stefanowski and A. Tsoukias: Incomplete information tables and rough classification. Computational Intelligence 17, 2001, 545–566

    Article  Google Scholar 

  26. Y. Y. Yao: Two views of the theory of rough sets in finite universes. International Journal of Approximate Reasoning 15, 1996, 291–317

    Article  MATH  MathSciNet  Google Scholar 

  27. Y. Y. Yao: Relational interpretations of neighborhood operators and rough set approximation operators. Information Sciences 111, 1998, 239–259

    Article  MATH  MathSciNet  Google Scholar 

  28. Y. Y. Yao: On the generalizing rough set theory. Proceedings of the 9th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing (RSFDGrC’2003), Chongqing, China, October 19–22, 2003, 44–51

    Google Scholar 

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Grzymala-Busse, J.W. (2008). Three Approaches to Missing Attribute Values: A Rough Set Perspective. In: Lin, T.Y., Xie, Y., Wasilewska, A., Liau, CJ. (eds) Data Mining: Foundations and Practice. Studies in Computational Intelligence, vol 118. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78488-3_8

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  • DOI: https://doi.org/10.1007/978-3-540-78488-3_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-78487-6

  • Online ISBN: 978-3-540-78488-3

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