On topological dominance-based rough set approach

Salvatore Greco; B. Matarazzo; R. Slowinski

doi:10.1007/978-3-642-14467-7_2

On topological 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

In this article, we characterize the Dominance-based Rough Set Approach (DRSA) from the point of view of its topological properties. Using the concept of a bitopological space, we extend to DRSA the classical results known for the original rough set approach. Moreover, we introduce a topological approach to ordinal classification. These considerations intend to strengthen theoretical foundations of DRSA, giving a deeper knowledge of its specific characteristics.

Original language	English
Title of host publication	Transactions on rough sets XII
Editors	J. Peters, A. Skowron, R. Slowinski, P. Lingras, D. Miao, S. Tsumoto
Place of Publication	Berlin
Publisher	Springer
Pages	21-45
Number of pages	25
Volume	6190
Edition	6190
ISBN (Print)	9783642144660
DOIs	https://doi.org/10.1007/978-3-642-14467-7_2
Publication status	Published - 2010

Publication series

Name	Lecture notes in computer science
Publisher	Springer
Number	6190
ISSN (Print)	0302-9743

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title = "On topological dominance-based rough set approach",

abstract = "In this article, we characterize the Dominance-based Rough Set Approach (DRSA) from the point of view of its topological properties. Using the concept of a bitopological space, we extend to DRSA the classical results known for the original rough set approach. Moreover, we introduce a topological approach to ordinal classification. These considerations intend to strengthen theoretical foundations of DRSA, giving a deeper knowledge of its specific characteristics.",

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On topological dominance-based rough set approach. / Greco, Salvatore; Matarazzo, B.; Slowinski, R.
Transactions on rough sets XII. ed. / J. Peters; A. Skowron; R. Slowinski; P. Lingras; D. Miao; S. Tsumoto. Vol. 6190 6190. ed. Berlin: Springer, 2010. p. 21-45 (Lecture notes in computer science; No. 6190).

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

TY - CHAP

T1 - On topological dominance-based rough set approach

AU - Greco, Salvatore

AU - Matarazzo, B.

AU - Slowinski, R.

PY - 2010

Y1 - 2010

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AB - In this article, we characterize the Dominance-based Rough Set Approach (DRSA) from the point of view of its topological properties. Using the concept of a bitopological space, we extend to DRSA the classical results known for the original rough set approach. Moreover, we introduce a topological approach to ordinal classification. These considerations intend to strengthen theoretical foundations of DRSA, giving a deeper knowledge of its specific characteristics.

U2 - 10.1007/978-3-642-14467-7_2

DO - 10.1007/978-3-642-14467-7_2

M3 - Chapter (peer-reviewed)

SN - 9783642144660

VL - 6190

T3 - Lecture notes in computer science

SP - 21

EP - 45

BT - Transactions on rough sets XII

A2 - Peters, J.

A2 - Skowron, A.

A2 - Slowinski, R.

A2 - Lingras, P.

A2 - Miao, D.

A2 - Tsumoto, S.

PB - Springer

CY - Berlin

ER -

On topological dominance-based rough set approach

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