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Rough sets and ordinal reducts

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Abstract

Rough set theory has been successfully applied in selecting attributes to improve the effectiveness in deriving decision trees/rules for decisions and classification problems. When decisions involve ordinal classes, the rough set reduction process should try to preserve the order relation generated by the decision classes. Previous works on rough sets when applied to ordinal decision systems still focus on preserving the information relating to the decision classes and not the underlying order relation. In this paper, we propose a new way of evaluating and finding reducts involving ordinal decision classes which focus on the order generated by the ordinal decision classes.

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Notes

  1. We use X/Y to represent difference of set X and Y.

References

  • Bioch J, Popova V (2000) Rough sets and ordinal classification. In: Arimura ASH, Jain S (eds) Algorithmic learning theory. Lect Notes Artif Intell 1968:291–305

  • Greco S, Matarazzo B, Slowinski R (2001) Rough sets theory for multicriteria decision analysis. Eur J Oper Res 129:1–47

    Google Scholar 

  • Iwinski TB (1988) Ordinal information systems, I. Bull Polish Acad Sci Math 36(7–8):467–475

    Google Scholar 

  • Iwinski TB (1991) Ordinal information systems, II. Bull Polish Acad Sci Tech Sci 39(1):157–170

    Google Scholar 

  • Komorowski J, Polkowski L, Skowron A (1998) Rough sets: a tutorial. In: Pal SK, Skowron A (eds) Rough-fuzzy hybridization: a new method for decision making. Springer, Berlin Heidelberg New York

    Google Scholar 

  • Lee JWT, Yeung DS, Tsang ECC (2002) Ordinal fuzzy sets. IEEE Transact Fuzzy Syst 10(6):767–778

    Google Scholar 

  • Pal SK, Skowron A (eds) (1999) Rough-fuzzy hybridization: a new trend in decision making. Springer, Berlin Heidelberg New York

    Google Scholar 

  • Pawlak Z (1982) Rough Sets. Int J Inform Comput Sci 11:341–356

    Google Scholar 

  • Sai Y, Yao YY, Zhong N (2001) Data analysis and mining in ordered information tables. In: Proceedings of the IEEE international conference on data mining 2001, pp 497–504

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Acknowledgements

This project is supported by the Hong Kong Polytechnic University research grant H-ZJ85.

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Correspondence to John W. T. Lee.

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Lee, J.W.T., Yeung, D.S. & Tsang, E.C.C. Rough sets and ordinal reducts. Soft Comput 10, 27–33 (2006). https://doi.org/10.1007/s00500-005-0460-5

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  • DOI: https://doi.org/10.1007/s00500-005-0460-5

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