Dominance-based rough set approach using possibility and necessity measures

Salvatore Greco; Masahiro Inuiguchi; Roman Slowinski

doi:10.1007/3-540-45813-1_11

Dominance-based rough set approach using possibility and necessity measures

Salvatore Greco, Masahiro Inuiguchi, Roman Slowinski

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

Abstract

Dominance-based rough set approach is an extension of the basic rough set approach proposed by Pawlak, to multicriteria classification problems. In this paper, the dominance-based rough set approach is considered in the context of vague information on preferences and decision classes. The vagueness is handled by possibility and necessity measures defined using modifiers of fuzzy sets. Due to this way of handling the vagueness, the lower and upper approximations of preference-ordered decision classes are fuzzy sets whose membership functions are necessity and possibility measures, respectively.

Original language	English
Title of host publication	Rough sets and current trends in computing
Subtitle of host publication	proceedings of the third international conference
Editors	James J. Alpigini, James F. Peters, Andrzej Skowron, Ning Zhong
Place of Publication	Berlin, Germany
Publisher	Springer
Pages	85-92
Number of pages	8
Volume	2475
ISBN (Print)	9783540442745
DOIs	https://doi.org/10.1007/3-540-45813-1_11
Publication status	Published - 2002

Publication series

Name	Lecture notes in computer science
Publisher	Springer
Number	2475

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10.1007/3-540-45813-1_11

http://link.springer.com/chapter/10.1007%2F3-540-45813-1_11

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Greco, S., Inuiguchi, M., & Slowinski, R. (2002). Dominance-based rough set approach using possibility and necessity measures. In J. J. Alpigini, J. F. Peters, A. Skowron, & N. Zhong (Eds.), Rough sets and current trends in computing: proceedings of the third international conference (Vol. 2475, pp. 85-92). (Lecture notes in computer science; No. 2475). Springer. https://doi.org/10.1007/3-540-45813-1_11

Greco, Salvatore ; Inuiguchi, Masahiro ; Slowinski, Roman. / Dominance-based rough set approach using possibility and necessity measures. Rough sets and current trends in computing: proceedings of the third international conference. editor / James J. Alpigini ; James F. Peters ; Andrzej Skowron ; Ning Zhong. Vol. 2475 Berlin, Germany : Springer, 2002. pp. 85-92 (Lecture notes in computer science; 2475).

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abstract = "Dominance-based rough set approach is an extension of the basic rough set approach proposed by Pawlak, to multicriteria classification problems. In this paper, the dominance-based rough set approach is considered in the context of vague information on preferences and decision classes. The vagueness is handled by possibility and necessity measures defined using modifiers of fuzzy sets. Due to this way of handling the vagueness, the lower and upper approximations of preference-ordered decision classes are fuzzy sets whose membership functions are necessity and possibility measures, respectively.",

author = "Salvatore Greco and Masahiro Inuiguchi and Roman Slowinski",

year = "2002",

doi = "10.1007/3-540-45813-1_11",

language = "English",

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volume = "2475",

series = "Lecture notes in computer science",

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number = "2475",

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booktitle = "Rough sets and current trends in computing",

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Greco, S, Inuiguchi, M & Slowinski, R 2002, Dominance-based rough set approach using possibility and necessity measures. in JJ Alpigini, JF Peters, A Skowron & N Zhong (eds), Rough sets and current trends in computing: proceedings of the third international conference. vol. 2475, Lecture notes in computer science, no. 2475, Springer, Berlin, Germany, pp. 85-92. https://doi.org/10.1007/3-540-45813-1_11

Dominance-based rough set approach using possibility and necessity measures. / Greco, Salvatore; Inuiguchi, Masahiro; Slowinski, Roman.
Rough sets and current trends in computing: proceedings of the third international conference. ed. / James J. Alpigini; James F. Peters; Andrzej Skowron; Ning Zhong. Vol. 2475 Berlin, Germany: Springer, 2002. p. 85-92 (Lecture notes in computer science; No. 2475).

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

TY - CHAP

T1 - Dominance-based rough set approach using possibility and necessity measures

AU - Greco, Salvatore

AU - Inuiguchi, Masahiro

AU - Slowinski, Roman

PY - 2002

Y1 - 2002

N2 - Dominance-based rough set approach is an extension of the basic rough set approach proposed by Pawlak, to multicriteria classification problems. In this paper, the dominance-based rough set approach is considered in the context of vague information on preferences and decision classes. The vagueness is handled by possibility and necessity measures defined using modifiers of fuzzy sets. Due to this way of handling the vagueness, the lower and upper approximations of preference-ordered decision classes are fuzzy sets whose membership functions are necessity and possibility measures, respectively.

AB - Dominance-based rough set approach is an extension of the basic rough set approach proposed by Pawlak, to multicriteria classification problems. In this paper, the dominance-based rough set approach is considered in the context of vague information on preferences and decision classes. The vagueness is handled by possibility and necessity measures defined using modifiers of fuzzy sets. Due to this way of handling the vagueness, the lower and upper approximations of preference-ordered decision classes are fuzzy sets whose membership functions are necessity and possibility measures, respectively.

U2 - 10.1007/3-540-45813-1_11

DO - 10.1007/3-540-45813-1_11

M3 - Chapter (peer-reviewed)

SN - 9783540442745

VL - 2475

T3 - Lecture notes in computer science

SP - 85

EP - 92

BT - Rough sets and current trends in computing

A2 - Alpigini, James J.

A2 - Peters, James F.

A2 - Skowron, Andrzej

A2 - Zhong, Ning

PB - Springer

CY - Berlin, Germany

ER -

Greco S, Inuiguchi M, Slowinski R. Dominance-based rough set approach using possibility and necessity measures. In Alpigini JJ, Peters JF, Skowron A, Zhong N, editors, Rough sets and current trends in computing: proceedings of the third international conference. Vol. 2475. Berlin, Germany: Springer. 2002. p. 85-92. (Lecture notes in computer science; 2475). doi: 10.1007/3-540-45813-1_11

Dominance-based rough set approach using possibility and necessity measures

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