Skip to main content
Top
Published in: International Journal of Machine Learning and Cybernetics 4/2016

01-08-2016 | Original Article

Optimal decision of multi-inconsistent information systems based on information fusion

Authors: Shaopu Zhang, Tao Feng

Published in: International Journal of Machine Learning and Cybernetics | Issue 4/2016

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This paper discusses the fusion of multi-inconsistent decision information systems. First, basic definitions and properties of rough sets, belief and plausibility functions are reviewed. Then, conditional mass function, conditional belief function and conditional plausibility function based on the decision set are defined. We then study the optimal decision of a test set and the reduction of an inconsistent decision information system based on the conditional mass function. Meanwhile, conditional mass function, conditional belief function and conditional plausibility function based on the conditional attribute set are also discussed and we define an uncertainty degree of an inconsistent information system based on the quasi-probability measure. Further, we study fusion method of inconsistent decision information systems using conditional mass functions based on a decision set. Finally, we define a conditional uncertainty measure and give a method to obtain the optimal decision and the confidence level.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Show more products
Literature
1.
go back to reference Bienvenu FM, Choquel JB (2004) A new probabilistic and entropy fusion approach for management of information sources. Inf Fusion 5:35–47CrossRef Bienvenu FM, Choquel JB (2004) A new probabilistic and entropy fusion approach for management of information sources. Inf Fusion 5:35–47CrossRef
2.
go back to reference Chen DG, Wang CZ, Hu QH (2007) A new approach to attribute reduction of consistent and inconsistent covering decision systems with covering rough sets. Inf Sci 177:3500–3518MathSciNetCrossRefMATH Chen DG, Wang CZ, Hu QH (2007) A new approach to attribute reduction of consistent and inconsistent covering decision systems with covering rough sets. Inf Sci 177:3500–3518MathSciNetCrossRefMATH
5.
go back to reference Dubois D, Prade H (2005) Interval-valued fuzzy sets, possibility theory and imprecise probability. In: Proceedings of EUSFLAT Conf, pp 314–319 Dubois D, Prade H (2005) Interval-valued fuzzy sets, possibility theory and imprecise probability. In: Proceedings of EUSFLAT Conf, pp 314–319
6.
go back to reference Feng T, Zhang SP, Mi JS (2012) The reduction and fusion of fuzzy covering systems based on the evidence theory. Int J Approx Reason 53:87–103MathSciNetCrossRefMATH Feng T, Zhang SP, Mi JS (2012) The reduction and fusion of fuzzy covering systems based on the evidence theory. Int J Approx Reason 53:87–103MathSciNetCrossRefMATH
7.
go back to reference Fu A, Wang GY, Hu J (2008) Information entropy based attribute reduction algorithm in incomplete information systems. J Chongqing Univ Posts Telecommun (Nat Sci Ed) 20:586–592 Fu A, Wang GY, Hu J (2008) Information entropy based attribute reduction algorithm in incomplete information systems. J Chongqing Univ Posts Telecommun (Nat Sci Ed) 20:586–592
10.
go back to reference Pawlak Z (1991) Rough sets: theoretical aspects of reasoning about data. Kluwer Academic Publishers, BostonCrossRefMATH Pawlak Z (1991) Rough sets: theoretical aspects of reasoning about data. Kluwer Academic Publishers, BostonCrossRefMATH
11.
go back to reference Shafer G (1976) A mathematical theory of evidence. Princeton University Press, PrincetonMATH Shafer G (1976) A mathematical theory of evidence. Princeton University Press, PrincetonMATH
14.
go back to reference Skowron A, Peters JF (2003) Rough sets: trends and challenges. In: RSFDGrC 2003, LNAI, pp 25–34 Skowron A, Peters JF (2003) Rough sets: trends and challenges. In: RSFDGrC 2003, LNAI, pp 25–34
15.
go back to reference Slowinski R, Stefanowski J (1999) Medical information systems-problems with analysis and way of solution. In: Pal SK, Skowron A (eds) Rough fuzzy hybridization: a new trend in decision-making. Springer, Singapore, pp 301–315 Slowinski R, Stefanowski J (1999) Medical information systems-problems with analysis and way of solution. In: Pal SK, Skowron A (eds) Rough fuzzy hybridization: a new trend in decision-making. Springer, Singapore, pp 301–315
16.
go back to reference Trabelsi S, Elouedi S (2010) Heuristic method for attribute selection from partially uncertain date using rough sets. Int J Gen Syst 39:271–290CrossRefMATH Trabelsi S, Elouedi S (2010) Heuristic method for attribute selection from partially uncertain date using rough sets. Int J Gen Syst 39:271–290CrossRefMATH
17.
go back to reference Wang CZ, Wu CX, Chen DG (2008) A systematic study on attribute reduction with rough sets based on general binary relations. Inf Sci 178:2237–2261MathSciNetCrossRefMATH Wang CZ, Wu CX, Chen DG (2008) A systematic study on attribute reduction with rough sets based on general binary relations. Inf Sci 178:2237–2261MathSciNetCrossRefMATH
18.
go back to reference Wang CZ, Chen DG, Wu C, Hu QH (2011) Data compression with homomorphism in covering information systems. Int J Approx Reason 52:519–525MathSciNetCrossRefMATH Wang CZ, Chen DG, Wu C, Hu QH (2011) Data compression with homomorphism in covering information systems. Int J Approx Reason 52:519–525MathSciNetCrossRefMATH
19.
go back to reference Wang XZ, Xing HJ, Li Y et al (2014) A study on relationship between generalization abilities and fuzziness of base classifiers in ensemble learning. IEEE Trans Fuzzy Syst. doi:10.1109/TFUZZ.2014.2371479 Wang XZ, Xing HJ, Li Y et al (2014) A study on relationship between generalization abilities and fuzziness of base classifiers in ensemble learning. IEEE Trans Fuzzy Syst. doi:10.​1109/​TFUZZ.​2014.​2371479
20.
go back to reference Wang XZ, Dong LC, Yan JH (2012) Maximum ambiguity based sample selection in fuzzy decision tree induction. IEEE Trans Knowl Data Eng 24(8):1491–1505CrossRef Wang XZ, Dong LC, Yan JH (2012) Maximum ambiguity based sample selection in fuzzy decision tree induction. IEEE Trans Knowl Data Eng 24(8):1491–1505CrossRef
21.
go back to reference Wang XZ, Dong CR (2009) Improving generalization of fuzzy if-then rules by maximizing fuzzy entropy. IEEE Trans Fuzzy Syst 17(3):556–567CrossRef Wang XZ, Dong CR (2009) Improving generalization of fuzzy if-then rules by maximizing fuzzy entropy. IEEE Trans Fuzzy Syst 17(3):556–567CrossRef
22.
go back to reference Wu WZ, Leung Y, Mi JS (2009) On generalized fuzzy belief functions in infinite spaces. IEEE Trans Fuzzy Syst 17:385–397CrossRef Wu WZ, Leung Y, Mi JS (2009) On generalized fuzzy belief functions in infinite spaces. IEEE Trans Fuzzy Syst 17:385–397CrossRef
26.
go back to reference Zhang WX, Mi JS, Wu WZ (2003) Approaches to knowledge reductions in inconsistent systems. Int J Intell Syst 18:989–1000CrossRefMATH Zhang WX, Mi JS, Wu WZ (2003) Approaches to knowledge reductions in inconsistent systems. Int J Intell Syst 18:989–1000CrossRefMATH
27.
go back to reference Zhong N (2001) Rough sets in knowledge discovery and data mining. Fuzzy Theory Syst 13:581–591 Zhong N (2001) Rough sets in knowledge discovery and data mining. Fuzzy Theory Syst 13:581–591
28.
go back to reference Zhou DM, Duan GY (2010) Research on application of evidence theory in uncertainty reasoning. Appl Res Comput 27:4433–4435 Zhou DM, Duan GY (2010) Research on application of evidence theory in uncertainty reasoning. Appl Res Comput 27:4433–4435
29.
go back to reference Zhu P (2011) Covering rough sets based on neighborhoods: an approach without using neighborhoods. J Int J Approx Reason 52:461–472MathSciNetCrossRefMATH Zhu P (2011) Covering rough sets based on neighborhoods: an approach without using neighborhoods. J Int J Approx Reason 52:461–472MathSciNetCrossRefMATH
Metadata
Title
Optimal decision of multi-inconsistent information systems based on information fusion
Authors
Shaopu Zhang
Tao Feng
Publication date
01-08-2016
Publisher
Springer Berlin Heidelberg
Published in
International Journal of Machine Learning and Cybernetics / Issue 4/2016
Print ISSN: 1868-8071
Electronic ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-015-0441-7

Other articles of this Issue 4/2016

International Journal of Machine Learning and Cybernetics 4/2016 Go to the issue