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Published in: International Journal of Machine Learning and Cybernetics 1/2017

23-01-2016 | Original Article

Attributes reduction and rules acquisition in an lattice-valued information system with fuzzy decision

Authors: Xiaoyan Zhang, Ling Wei, Weihua Xu

Published in: International Journal of Machine Learning and Cybernetics | Issue 1/2017

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Abstract

In this paper, we aim to investigate lattice-valued information systems with fuzzy decision (LvISFD), where the domain of every condition attribute is a finite lattice. Firstly, we propose the concept of LvISFD by combining dominance relation and lattice structure. Meanwhile, we establish a rough set approach and give a ranking method for all objects in this complex system. Secondly, we address approximation reductions and rules acquisition in LvISFD. Furthermore, an algorithm of the presented reduction approach is constructed. Finally, an illustrative example is given to show the effectiveness of the proposed method, and experiment evaluation is performed by four datasets from UCI. These results of this study will be more valuable to solve practical issues.

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Literature
1.
go back to reference Dembczynski K, Pindur R, Susmaga R (2003) Generation of exhaustive set of rules within dominance-based rough set approach. Electron Notes Theory Comput Sci 82:96–107CrossRefMATH Dembczynski K, Pindur R, Susmaga R (2003) Generation of exhaustive set of rules within dominance-based rough set approach. Electron Notes Theory Comput Sci 82:96–107CrossRefMATH
2.
go back to reference Dembczynski K, Pindur R, Susmaga R (2003) Dominance-based rough set classifier without induction of decision rules. Electron Notes Theory Comput Sci 82:84–95CrossRefMATH Dembczynski K, Pindur R, Susmaga R (2003) Dominance-based rough set classifier without induction of decision rules. Electron Notes Theory Comput Sci 82:84–95CrossRefMATH
3.
go back to reference Fan BJ, Xu WH, Yu JH (2014) Uncertainty measures in ordered information system based on approximation operators. Abstr Appl Anal 2014:1–17MathSciNet Fan BJ, Xu WH, Yu JH (2014) Uncertainty measures in ordered information system based on approximation operators. Abstr Appl Anal 2014:1–17MathSciNet
4.
go back to reference Greco S, Matarazzo B, Slowinski R (1999) Rough approximation of a preference relation by dominance relatioin, ICS Research Report 16/96, Warsaw University of Technology; 1996 and in Europe. J Oper Res 117:63–83CrossRef Greco S, Matarazzo B, Slowinski R (1999) Rough approximation of a preference relation by dominance relatioin, ICS Research Report 16/96, Warsaw University of Technology; 1996 and in Europe. J Oper Res 117:63–83CrossRef
5.
go back to reference Greco S, Matarazzo B, Slowinski R (2001) Rough set theory for multicriteria decision analysis. Eur J Oper Res 129:11–47CrossRefMATH Greco S, Matarazzo B, Slowinski R (2001) Rough set theory for multicriteria decision analysis. Eur J Oper Res 129:11–47CrossRefMATH
6.
go back to reference Greco S, Matarazzo B, Slowinski R (2007) Dominance-based rough set approach as a proper way of handling graduality in rough set theory. Trans Rough Sets VII Lect Notes Comput Sci 4400:36–52MathSciNetCrossRefMATH Greco S, Matarazzo B, Slowinski R (2007) Dominance-based rough set approach as a proper way of handling graduality in rough set theory. Trans Rough Sets VII Lect Notes Comput Sci 4400:36–52MathSciNetCrossRefMATH
7.
go back to reference Kryszkiewicz M (2001) Comparative study of alternative type of attribute reduction ininconsistent systems. Int J Intell Syst 16:105–120CrossRefMATH Kryszkiewicz M (2001) Comparative study of alternative type of attribute reduction ininconsistent systems. Int J Intell Syst 16:105–120CrossRefMATH
9.
go back to reference Leung Y, Wu WZ, Zhang WX (2006) Knowledge acquisition in incomplete information systems: a rough set approach. Eur J Oper Res 168:164–180MathSciNetCrossRefMATH Leung Y, Wu WZ, Zhang WX (2006) Knowledge acquisition in incomplete information systems: a rough set approach. Eur J Oper Res 168:164–180MathSciNetCrossRefMATH
10.
11.
go back to reference Li WT, Xu WH (2014) Probabilistic rough set model based on dominance relation. In: Proceedings of rough sets and knowledge technology, lecture notes in artificial intelligence, vol 8818, pp 856–863 Li WT, Xu WH (2014) Probabilistic rough set model based on dominance relation. In: Proceedings of rough sets and knowledge technology, lecture notes in artificial intelligence, vol 8818, pp 856–863
12.
go back to reference Nguyen HS, Slezak D (1999) Approximation reducts and association rules correspondence and complexity results. In: Proceedings of RSFDGrC’99, Yamaguchi, Japan, LNAI 1711, pp 137–145 Nguyen HS, Slezak D (1999) Approximation reducts and association rules correspondence and complexity results. In: Proceedings of RSFDGrC’99, Yamaguchi, Japan, LNAI 1711, pp 137–145
13.
go back to reference Pan HY, Cao YZ, Zhang M, Chen YX (2014) Simulation for lattice-valued doubly labeled transition systems. Int J Approx Reason 55:797–811MathSciNetCrossRefMATH Pan HY, Cao YZ, Zhang M, Chen YX (2014) Simulation for lattice-valued doubly labeled transition systems. Int J Approx Reason 55:797–811MathSciNetCrossRefMATH
14.
19.
go back to reference Shao MW, Zhang WX (2005) Dominance relation and relus in an incomplete ordered information system. Int J Intell Syst 20:13–27CrossRefMATH Shao MW, Zhang WX (2005) Dominance relation and relus in an incomplete ordered information system. Int J Intell Syst 20:13–27CrossRefMATH
20.
go back to reference Slowinski R, Zopounidis C, Dimitras AI (1997) Prediction of company acquisition in Greece by means of the rough set approach. Eur J Oper Res 100:1–15CrossRefMATH Slowinski R, Zopounidis C, Dimitras AI (1997) Prediction of company acquisition in Greece by means of the rough set approach. Eur J Oper Res 100:1–15CrossRefMATH
21.
go back to reference Stefanowski J (1998) On rough set based approaches to induction of decision rules. Rough Sets Knowl Discov 1:500–529MATH Stefanowski J (1998) On rough set based approaches to induction of decision rules. Rough Sets Knowl Discov 1:500–529MATH
22.
go back to reference Susmaga R, Slowinski R, Greco S, Matarazzo B (2000) Generation of reducts and rules in multi-attribute and multi-criteria classification. Control Cybern 4:969–988MATH Susmaga R, Slowinski R, Greco S, Matarazzo B (2000) Generation of reducts and rules in multi-attribute and multi-criteria classification. Control Cybern 4:969–988MATH
23.
go back to reference Thangavel K, Pethalakshmi A (2009) Dimensionality reduction based on rough set theory: a review. Appl Soft Comput 9:1–12CrossRef Thangavel K, Pethalakshmi A (2009) Dimensionality reduction based on rough set theory: a review. Appl Soft Comput 9:1–12CrossRef
24.
go back to reference Wu QX, Bell D, McGinnity M (2005) Multiknowledge for decision making. Knowl Inf Syst 7:246–266CrossRef Wu QX, Bell D, McGinnity M (2005) Multiknowledge for decision making. Knowl Inf Syst 7:246–266CrossRef
25.
go back to reference Wu WZ, Leung Y, Zhang WX (2002) Connections between rough set theory and Dempster–Shafer theory of evidence. Int J Gen Syst 31:405–430MathSciNetCrossRefMATH Wu WZ, Leung Y, Zhang WX (2002) Connections between rough set theory and Dempster–Shafer theory of evidence. Int J Gen Syst 31:405–430MathSciNetCrossRefMATH
26.
go back to reference Wu WZ, Zhang M, Li HZ, Mi JS (2005) Attribute reduction in random information systems via Dempster–Shafer theory of evidence. Inf Sci 174:143–164CrossRefMATH Wu WZ, Zhang M, Li HZ, Mi JS (2005) Attribute reduction in random information systems via Dempster–Shafer theory of evidence. Inf Sci 174:143–164CrossRefMATH
27.
go back to reference Wang R, Kwon S, Wang XZ, Jiang QS (2015) Segment based decision tree induction with continuous valued attributes. IEEE Trans Cybern 45:1262–1275CrossRef Wang R, Kwon S, Wang XZ, Jiang QS (2015) Segment based decision tree induction with continuous valued attributes. IEEE Trans Cybern 45:1262–1275CrossRef
28.
go back to reference Wang XZ, Xing HJ, Li Yan et al (2015) A study on relationship between generalization abilities and fuzziness of base classifiers in ensemble learning. IEEE Trans Fuzzy Syst 23:1638–1654CrossRef Wang XZ, Xing HJ, Li Yan et al (2015) A study on relationship between generalization abilities and fuzziness of base classifiers in ensemble learning. IEEE Trans Fuzzy Syst 23:1638–1654CrossRef
29.
go back to reference Wang XZ (2015) Uncertainty in learning from big data-editorial. J Intell Fuzzy Syst 28:2329–2330CrossRef Wang XZ (2015) Uncertainty in learning from big data-editorial. J Intell Fuzzy Syst 28:2329–2330CrossRef
30.
go back to reference Wang XZ, Hong JR (1998) On the handling of fuzziness for continuous-valued attributes in decision tree generation. Fuzzy Sets Syst 99:283–290MathSciNetCrossRefMATH Wang XZ, Hong JR (1998) On the handling of fuzziness for continuous-valued attributes in decision tree generation. Fuzzy Sets Syst 99:283–290MathSciNetCrossRefMATH
31.
go back to reference Wang XZ, Aamir R, Fu AM (2015) Fuzziness based sample categorization for classifier performance improvement. J Intell Fuzzy Syst 29:1185C1196MathSciNet Wang XZ, Aamir R, Fu AM (2015) Fuzziness based sample categorization for classifier performance improvement. J Intell Fuzzy Syst 29:1185C1196MathSciNet
32.
go back to reference Xu WH, Li Y, Liao XW (2012) Approaches to attribute reductions based on rough set and matrix computation in inconsistent ordered information systems. Knowl-Based Syst 27:78–91CrossRef Xu WH, Li Y, Liao XW (2012) Approaches to attribute reductions based on rough set and matrix computation in inconsistent ordered information systems. Knowl-Based Syst 27:78–91CrossRef
33.
go back to reference Xu WH, Liu SH, Yu FS (2013) Knowledge reduction in lattice-valued information systems with interval-valued intuitionistic fuzzy decision. Int J Artif Intell Tools 22:1–29 Xu WH, Liu SH, Yu FS (2013) Knowledge reduction in lattice-valued information systems with interval-valued intuitionistic fuzzy decision. Int J Artif Intell Tools 22:1–29
34.
35.
go back to reference Xu WH, Zhang XY, Zhong JM, Zhang WX (2010) Attribute reduction in ordered information systems based on evidence theory. Knowl Inf Syst 25:169–184CrossRef Xu WH, Zhang XY, Zhong JM, Zhang WX (2010) Attribute reduction in ordered information systems based on evidence theory. Knowl Inf Syst 25:169–184CrossRef
36.
go back to reference Yu DR, Hu QH, Wu CX (2007) Uncertainty measures for fuzzy relations and their applications. Appl Soft Comput 7:1135–1143CrossRef Yu DR, Hu QH, Wu CX (2007) Uncertainty measures for fuzzy relations and their applications. Appl Soft Comput 7:1135–1143CrossRef
38.
go back to reference Zhang XY, Xu WH (2011) Rough set approach to approximation reduction in ordered decision table with fuzzy decision. Math Probl Eng 2011:1–16MathSciNetMATH Zhang XY, Xu WH (2011) Rough set approach to approximation reduction in ordered decision table with fuzzy decision. Math Probl Eng 2011:1–16MathSciNetMATH
39.
go back to reference Zhang XY, Xu WH (2012) Ranking for objects and attribute reductions in intuitionistic fuzzy ordered information systems. Math Probl Eng 2012:1–19MathSciNetMATH Zhang XY, Xu WH (2012) Ranking for objects and attribute reductions in intuitionistic fuzzy ordered information systems. Math Probl Eng 2012:1–19MathSciNetMATH
Metadata
Title
Attributes reduction and rules acquisition in an lattice-valued information system with fuzzy decision
Authors
Xiaoyan Zhang
Ling Wei
Weihua Xu
Publication date
23-01-2016
Publisher
Springer Berlin Heidelberg
Published in
International Journal of Machine Learning and Cybernetics / Issue 1/2017
Print ISSN: 1868-8071
Electronic ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-015-0492-9

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