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Erschienen in: Soft Computing 3/2011

01.03.2011 | Original Paper

Variable precision rough set model over two universes and its properties

verfasst von: Yonghong Shen, Faxing Wang

Erschienen in: Soft Computing | Ausgabe 3/2011

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Abstract

The extension of rough set model is an important research direction in the rough set theory. In this paper, based on the rough set model over two universes, we firstly propose the variable precision rough set model (VPRS-model) over two universes using the inclsion degree. Meantime, the concepts of the reverse lower and upper approximation operators are presented. Afterwards, the properties of the approximation operators are studied. Finally, the approximation operators with two parameters are introduced as a generalization of the VPRS-model over two universes, and the related conclusions are discussed.

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Literatur
Zurück zum Zitat Gong ZT, Sun BZh (2008) Probability rough sets model between different universes and its applications. Proceedings of the seventh International Conference on machine learning and cybernetics. IEEE, Kunming, pp 561–565 Gong ZT, Sun BZh (2008) Probability rough sets model between different universes and its applications. Proceedings of the seventh International Conference on machine learning and cybernetics. IEEE, Kunming, pp 561–565
Zurück zum Zitat Gu ShM, Gao J, Tian XQ (2007) A fuzzy measure based on variable precision rough sets. In: Cao BY (ed) Fuzzy information and engineering (ICFIE), ASC, vol 40, pp 798–807 Gu ShM, Gao J, Tian XQ (2007) A fuzzy measure based on variable precision rough sets. In: Cao BY (ed) Fuzzy information and engineering (ICFIE), ASC, vol 40, pp 798–807
Zurück zum Zitat Inuiguchi M (2004a) Generalizations of rough sets: from crisp to fuzzy cases. In: Tsumoto S et al (eds) RSCTC2004, LNAI 3066, pp 26–37 Inuiguchi M (2004a) Generalizations of rough sets: from crisp to fuzzy cases. In: Tsumoto S et al (eds) RSCTC2004, LNAI 3066, pp 26–37
Zurück zum Zitat Inuiguchi M (2004b) Generalizations of rough sets and rule extraction. In: Peters JF et al (ed) Transactions on rough sets I, LNCS 3100, pp 96–119 Inuiguchi M (2004b) Generalizations of rough sets and rule extraction. In: Peters JF et al (ed) Transactions on rough sets I, LNCS 3100, pp 96–119
Zurück zum Zitat Mieszkowicz-Rolka A, Rolka L (2004a) Variable precision fuzzy rough sets. In: Peters JF et al (ed) Transactions on rough sets I. LNCS 3100, pp 144–160 Mieszkowicz-Rolka A, Rolka L (2004a) Variable precision fuzzy rough sets. In: Peters JF et al (ed) Transactions on rough sets I. LNCS 3100, pp 144–160
Zurück zum Zitat Mieszkowicz-Rolka A, Rolka L (2004b) Remarks on approximation quality in variable precision fuzzy rough sets model. In: Tsumoto S et al (ed) RSCTC 2004, LNAI 3066, pp 402–411 Mieszkowicz-Rolka A, Rolka L (2004b) Remarks on approximation quality in variable precision fuzzy rough sets model. In: Tsumoto S et al (ed) RSCTC 2004, LNAI 3066, pp 402–411
Zurück zum Zitat Mieszkowicz-Rolka A, Rolka L (2004c) Fuzzy implication operators in variable precision fuzzy rough sets model. In: Rutkowski L et al (ed) ICAISC 2004, LNAI 3070, pp 498–503 Mieszkowicz-Rolka A, Rolka L (2004c) Fuzzy implication operators in variable precision fuzzy rough sets model. In: Rutkowski L et al (ed) ICAISC 2004, LNAI 3070, pp 498–503
Zurück zum Zitat Mieszkowicz-Rolka A, Rolka L (2005) Variable precision fuzzy rough sets model in the analysis of process data. In: Slezak D et al (ed) RSFDGrC 2005, LNAI 3641, pp 354–363 Mieszkowicz-Rolka A, Rolka L (2005) Variable precision fuzzy rough sets model in the analysis of process data. In: Slezak D et al (ed) RSFDGrC 2005, LNAI 3641, pp 354–363
Zurück zum Zitat Shu L, He XZh (2007) Rough set model with double universe of discourse. Information reuse and integration(IRI 2007), IEEE, pp 492–495 Shu L, He XZh (2007) Rough set model with double universe of discourse. Information reuse and integration(IRI 2007), IEEE, pp 492–495
Zurück zum Zitat Wang YP, Wang WZ (2008) Constructive and algebraic methods of approximation operators over two universes. Fuzzy Syst Math (Chinese Version) 22:151–154 Wang YP, Wang WZ (2008) Constructive and algebraic methods of approximation operators over two universes. Fuzzy Syst Math (Chinese Version) 22:151–154
Zurück zum Zitat Yao YY (1998) Generalized rough set models. In: Polkowski L, Skowron A (eds) Rough sets in knowledge discovery. Physica-Verlag, Heidelberg, pp 286–328 Yao YY (1998) Generalized rough set models. In: Polkowski L, Skowron A (eds) Rough sets in knowledge discovery. Physica-Verlag, Heidelberg, pp 286–328
Zurück zum Zitat Yao YY (2003) On generalizing rough set theory. In: Rough sets, fuzzy sets, and granular computing. Proceedings of the 9th International Conference (RSFDGrC 2003), LNAI 2639, pp 44–51 Yao YY (2003) On generalizing rough set theory. In: Rough sets, fuzzy sets, and granular computing. Proceedings of the 9th International Conference (RSFDGrC 2003), LNAI 2639, pp 44–51
Zurück zum Zitat Yao YY, Lin TY (1996) Generalization of rough sets using modal logics. Intell Autom Soft Comput 2:103–120 Yao YY, Lin TY (1996) Generalization of rough sets using modal logics. Intell Autom Soft Comput 2:103–120
Zurück zum Zitat Yao YY, Wong SKM (1992) A decision theoretic framework for approximating concepts. Int J Man Machine Stud 37:793–809CrossRef Yao YY, Wong SKM (1992) A decision theoretic framework for approximating concepts. Int J Man Machine Stud 37:793–809CrossRef
Zurück zum Zitat Yao YY, Wong SKM (1996) Generalized probabilistic rough set models. In: Chen YY, Hirota K, Yen JY (eds) Soft computing in intelligent systems and information processing. Proceedings of 1996 Asian Fuzzy Systems Symposium. IEEE Press, pp 158–163 Yao YY, Wong SKM (1996) Generalized probabilistic rough set models. In: Chen YY, Hirota K, Yen JY (eds) Soft computing in intelligent systems and information processing. Proceedings of 1996 Asian Fuzzy Systems Symposium. IEEE Press, pp 158–163
Zurück zum Zitat Yao YY (2008) Probabilistic rough set approximations. Int J Approx Reason 49:255–271MATHCrossRef Yao YY (2008) Probabilistic rough set approximations. Int J Approx Reason 49:255–271MATHCrossRef
Zurück zum Zitat Zhang WX, Leung Y (1996) Theory of including degrees and its applications to uncertainty inferences. Soft computing in intelligent systems and information processing. IEEE, New York, pp 496–501 Zhang WX, Leung Y (1996) Theory of including degrees and its applications to uncertainty inferences. Soft computing in intelligent systems and information processing. IEEE, New York, pp 496–501
Metadaten
Titel
Variable precision rough set model over two universes and its properties
verfasst von
Yonghong Shen
Faxing Wang
Publikationsdatum
01.03.2011
Verlag
Springer-Verlag
Erschienen in
Soft Computing / Ausgabe 3/2011
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-010-0562-6

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