Generalizing rough set theory through dominance-based rough set approach

Salvatore Greco; B. Matarazzo; R. Slowinski

doi:10.1007/11548706_1

Generalizing rough set theory through dominance-based rough set approach

Salvatore Greco, B. Matarazzo, R. Slowinski

Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed) › peer-review

Abstract

Ordinal properties of data related to preferences have been taken into account in the Dominance-based Rough Set Approach (DRSA). We show that DRSA is also relevant in case where preferences are not considered but a kind of monotonicity relating attribute values is meaningful for the analysis of data at hand. In general terms, monotonicity concerns relationship between different aspects of a phenomenon described by data: for example, "the larger the house, the higher its price" or "the closer the house to the city centre, the higher its price". In this perspective, the DRSA gives a very general framework in which the classical rough set approach based on indiscernibility relation can be considered as a special case.

Original language	English
Title of host publication	Rough sets, fuzzy sets, data mining, and granular computing: proceedings of the 10th international conference. Vol. 2
Editors	D. Slezak, J. Yao, J. Peters, W. Ziarko, X. Hu
Place of Publication	Berlin
Publisher	Springer
Pages	1-11
Number of pages	11
Volume	3642
Edition	3642
ISBN (Print)	9783540286608
DOIs	https://doi.org/10.1007/11548706_1
Publication status	Published - Sept 2005

Publication series

Name	Lecture notes in computer science
Publisher	Springer
Number	3642
ISSN (Print)	0302-9743

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10.1007/11548706_1

http://link.springer.com/chapter/10.1007%2F11548706_1

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Greco, S., Matarazzo, B., & Slowinski, R. (2005). Generalizing rough set theory through dominance-based rough set approach. In D. Slezak, J. Yao, J. Peters, W. Ziarko, & X. Hu (Eds.), Rough sets, fuzzy sets, data mining, and granular computing: proceedings of the 10th international conference. Vol. 2 (3642 ed., Vol. 3642, pp. 1-11). (Lecture notes in computer science; No. 3642). Springer. https://doi.org/10.1007/11548706_1

Greco, Salvatore ; Matarazzo, B. ; Slowinski, R. / Generalizing rough set theory through dominance-based rough set approach. Rough sets, fuzzy sets, data mining, and granular computing: proceedings of the 10th international conference. Vol. 2. editor / D. Slezak ; J. Yao ; J. Peters ; W. Ziarko ; X. Hu. Vol. 3642 3642. ed. Berlin : Springer, 2005. pp. 1-11 (Lecture notes in computer science; 3642).

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abstract = "Ordinal properties of data related to preferences have been taken into account in the Dominance-based Rough Set Approach (DRSA). We show that DRSA is also relevant in case where preferences are not considered but a kind of monotonicity relating attribute values is meaningful for the analysis of data at hand. In general terms, monotonicity concerns relationship between different aspects of a phenomenon described by data: for example, {"}the larger the house, the higher its price{"} or {"}the closer the house to the city centre, the higher its price{"}. In this perspective, the DRSA gives a very general framework in which the classical rough set approach based on indiscernibility relation can be considered as a special case.",

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Greco, S, Matarazzo, B & Slowinski, R 2005, Generalizing rough set theory through dominance-based rough set approach. in D Slezak, J Yao, J Peters, W Ziarko & X Hu (eds), Rough sets, fuzzy sets, data mining, and granular computing: proceedings of the 10th international conference. Vol. 2. 3642 edn, vol. 3642, Lecture notes in computer science, no. 3642, Springer, Berlin, pp. 1-11. https://doi.org/10.1007/11548706_1

Generalizing rough set theory through dominance-based rough set approach. / Greco, Salvatore; Matarazzo, B.; Slowinski, R.
Rough sets, fuzzy sets, data mining, and granular computing: proceedings of the 10th international conference. Vol. 2. ed. / D. Slezak; J. Yao; J. Peters; W. Ziarko; X. Hu. Vol. 3642 3642. ed. Berlin: Springer, 2005. p. 1-11 (Lecture notes in computer science; No. 3642).

Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed) › peer-review

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AB - Ordinal properties of data related to preferences have been taken into account in the Dominance-based Rough Set Approach (DRSA). We show that DRSA is also relevant in case where preferences are not considered but a kind of monotonicity relating attribute values is meaningful for the analysis of data at hand. In general terms, monotonicity concerns relationship between different aspects of a phenomenon described by data: for example, "the larger the house, the higher its price" or "the closer the house to the city centre, the higher its price". In this perspective, the DRSA gives a very general framework in which the classical rough set approach based on indiscernibility relation can be considered as a special case.

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Greco S, Matarazzo B, Slowinski R. Generalizing rough set theory through dominance-based rough set approach. In Slezak D, Yao J, Peters J, Ziarko W, Hu X, editors, Rough sets, fuzzy sets, data mining, and granular computing: proceedings of the 10th international conference. Vol. 2. 3642 ed. Vol. 3642. Berlin: Springer. 2005. p. 1-11. (Lecture notes in computer science; 3642). doi: 10.1007/11548706_1

Generalizing rough set theory through dominance-based rough set approach

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