Monotonic variable consistency rough set approaches

J. Blaszczynski; Salvatore Greco; R. Slowinski; M. Szelag

doi:10.1007/978-3-540-72458-2_15

Monotonic variable consistency rough set approaches

J. Blaszczynski, Salvatore Greco, R. Slowinski, M. Szelag

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

Abstract

We consider new definitions of Variable Consistency Rough Set Approaches that employ monotonic measures of membership to the approximated set. The monotonicity is understood with respect to the set of considered attributes. This kind of monotonicity is related to the monotonicity of the quality of approximation, considered among basic properties of rough sets. Measures that were employed by approaches proposed so far lack this property. New monotonic measures are considered in two contexts. In the first context, we define Variable Consistency Indiscernibility-based Rough Set Approach (VC-IRSA). In the second context, new measures are applied to Variable Consistency Dominance-based Rough Set Approaches (VC-DRSA). Properties of new definitions are investigated and compared to previously proposed Variable Precision Rough Set (VPRS) model, Rough Bayesian (RB) model and VC-DRSA.

Original language	English
Title of host publication	Rough Sets and Knowledge Technology: Proceedings of the Second International Conference
Editors	J. Yao, P. Lingras, W. Wu, M. Szczuka, N. Cercone, D. Slezak
Place of Publication	Berlin
Publisher	Springer
Pages	126-133
Number of pages	8
ISBN (Print)	9783540724575
DOIs	https://doi.org/10.1007/978-3-540-72458-2_15
Publication status	Published - 2007

Publication series

Name	Lecture Notes in Computer Science
Publisher	Springer
Number	4481

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10.1007/978-3-540-72458-2_15

http://link.springer.com/chapter/10.1007%2F978-3-540-72458-2_15

Cite this

Blaszczynski, J., Greco, S., Slowinski, R., & Szelag, M. (2007). Monotonic variable consistency rough set approaches. In J. Yao, P. Lingras, W. Wu, M. Szczuka, N. Cercone, & D. Slezak (Eds.), Rough Sets and Knowledge Technology: Proceedings of the Second International Conference (pp. 126-133). (Lecture Notes in Computer Science; No. 4481). Springer. https://doi.org/10.1007/978-3-540-72458-2_15

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abstract = "We consider new definitions of Variable Consistency Rough Set Approaches that employ monotonic measures of membership to the approximated set. The monotonicity is understood with respect to the set of considered attributes. This kind of monotonicity is related to the monotonicity of the quality of approximation, considered among basic properties of rough sets. Measures that were employed by approaches proposed so far lack this property. New monotonic measures are considered in two contexts. In the first context, we define Variable Consistency Indiscernibility-based Rough Set Approach (VC-IRSA). In the second context, new measures are applied to Variable Consistency Dominance-based Rough Set Approaches (VC-DRSA). Properties of new definitions are investigated and compared to previously proposed Variable Precision Rough Set (VPRS) model, Rough Bayesian (RB) model and VC-DRSA.",

author = "J. Blaszczynski and Salvatore Greco and R. Slowinski and M. Szelag",

year = "2007",

doi = "10.1007/978-3-540-72458-2_15",

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number = "4481",

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Blaszczynski, J, Greco, S, Slowinski, R & Szelag, M 2007, Monotonic variable consistency rough set approaches. in J Yao, P Lingras, W Wu, M Szczuka, N Cercone & D Slezak (eds), Rough Sets and Knowledge Technology: Proceedings of the Second International Conference. Lecture Notes in Computer Science, no. 4481, Springer, Berlin, pp. 126-133. https://doi.org/10.1007/978-3-540-72458-2_15

Monotonic variable consistency rough set approaches. / Blaszczynski, J.; Greco, Salvatore; Slowinski, R. et al.
Rough Sets and Knowledge Technology: Proceedings of the Second International Conference. ed. / J. Yao; P. Lingras; W. Wu; M. Szczuka; N. Cercone; D. Slezak. Berlin: Springer, 2007. p. 126-133 (Lecture Notes in Computer Science; No. 4481).

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

TY - CHAP

T1 - Monotonic variable consistency rough set approaches

AU - Blaszczynski, J.

AU - Greco, Salvatore

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N2 - We consider new definitions of Variable Consistency Rough Set Approaches that employ monotonic measures of membership to the approximated set. The monotonicity is understood with respect to the set of considered attributes. This kind of monotonicity is related to the monotonicity of the quality of approximation, considered among basic properties of rough sets. Measures that were employed by approaches proposed so far lack this property. New monotonic measures are considered in two contexts. In the first context, we define Variable Consistency Indiscernibility-based Rough Set Approach (VC-IRSA). In the second context, new measures are applied to Variable Consistency Dominance-based Rough Set Approaches (VC-DRSA). Properties of new definitions are investigated and compared to previously proposed Variable Precision Rough Set (VPRS) model, Rough Bayesian (RB) model and VC-DRSA.

AB - We consider new definitions of Variable Consistency Rough Set Approaches that employ monotonic measures of membership to the approximated set. The monotonicity is understood with respect to the set of considered attributes. This kind of monotonicity is related to the monotonicity of the quality of approximation, considered among basic properties of rough sets. Measures that were employed by approaches proposed so far lack this property. New monotonic measures are considered in two contexts. In the first context, we define Variable Consistency Indiscernibility-based Rough Set Approach (VC-IRSA). In the second context, new measures are applied to Variable Consistency Dominance-based Rough Set Approaches (VC-DRSA). Properties of new definitions are investigated and compared to previously proposed Variable Precision Rough Set (VPRS) model, Rough Bayesian (RB) model and VC-DRSA.

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DO - 10.1007/978-3-540-72458-2_15

M3 - Chapter (peer-reviewed)

SN - 9783540724575

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BT - Rough Sets and Knowledge Technology: Proceedings of the Second International Conference

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A2 - Lingras, P.

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A2 - Cercone, N.

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PB - Springer

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Blaszczynski J, Greco S, Slowinski R, Szelag M. Monotonic variable consistency rough set approaches. In Yao J, Lingras P, Wu W, Szczuka M, Cercone N, Slezak D, editors, Rough Sets and Knowledge Technology: Proceedings of the Second International Conference. Berlin: Springer. 2007. p. 126-133. (Lecture Notes in Computer Science; 4481). doi: 10.1007/978-3-540-72458-2_15

Monotonic variable consistency rough set approaches

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