Skip to main content
SpringerLink
Log in

Granular Computing and Sequential Three-Way Decisions

  • Conference paper
Rough Sets and Knowledge Technology (RSKT 2013)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8171))

Included in the following conference series:

Abstract

Real-world decision making typically involves the three options of acceptance, rejection and non-commitment. Three-way decisions can be motivated, interpreted and implemented based on the notion of information granularity. With coarse-grained granules, it may only be possible to make a definite decision of acceptance or rejection for some objects. A lack of detailed information may make a definite decision impossible for some other objects, and hence the third non-commitment option is used. Objects with a non-commitment decision may be further investigated by using fine-grained granules. In this way, multiple levels of granularity lead naturally to sequential three-way decisions.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bargiela, A., Pedrycz, W. (eds.): Human-Centric Information Processing Through Granular Modelling. Springer, Berlin (2009)

    Google Scholar 

  2. Ciucci, D., Dubois, D., Prade, H.: Oppositions in rough set theory. In: Li, T., Nguyen, H.S., Wang, G., Grzymala-Busse, J., Janicki, R., Hassanien, A.E., Yu, H. (eds.) RSKT 2012. LNCS, vol. 7414, pp. 504–513. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  3. Clark, P.G., Grzymala-Busse, J.W., Rzasa, W.: Generalizations of approximations. In: Lingras, P., Wolski, M., Cornelis, C., Mitra, S., Wasilewski, P. (eds.) RSKT 2013. LNCS (LNAI), vol. 8171, pp. 41–52. Springer, Heidelberg (2013)

    Google Scholar 

  4. Grzymala-Busse, J.W.: Generalized probabilistic approximations. In: Peters, J.F., Skowron, A., Ramanna, S., Suraj, Z., Wang, X. (eds.) Transactions on Rough Sets XVI. LNCS, vol. 7736, pp. 1–16. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  5. Grzymala-Busse, J.W., Yao, Y.Y.: Probabilistic rule induction with the LERS data mining system. International Journal of Intelligent Systems 26, 518–539 (2011)

    Article  Google Scholar 

  6. Jia, X.Y., Liao, W.H., Tang, Z.M., Shang, L.: Minimum cost attribute reduction in decision-theoretic rough set models. Information Sciences 219, 151–167 (2013)

    Article  MathSciNet  Google Scholar 

  7. Li, H.X., Zhou, X.Z., Huang, B., Liu, D.: Cost-sensitive three-way decision: A sequential strategy. In: Lingras, P., Wolski, M., Cornelis, C., Mitra, S., Wasilewski, P. (eds.) RSKT 2013. LNCS (LNAI), vol. 8171, pp. 325–337. Springer, Heidelberg (2013)

    Google Scholar 

  8. Li, H.X., Zhou, X.Z., Zhao, J.B., Huang, B.: Cost-sensitive classification based on decision-theoretic rough set model. In: Li, T.R., Nguyen, H.S., Wang, G.Y., Grzymala-Busse, J.W., Janicki, R., Hassanien, A.E., Yu, H. (eds.) RSKT 2012. LNCS, vol. 7414, pp. 379–388. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  9. Liu, D., Li, T.R., Liang, D.C.: Three-way government decision analysis with decision-theoretic rough sets. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 20, 119–132 (2012)

    Article  Google Scholar 

  10. Min, F., He, H.P., Qian, Y.H., Zhu, W.: Test-cost-sensitive attribute reduction. Information Sciences 181, 4928–4942 (2011)

    Article  Google Scholar 

  11. Min, F., Liu, Q.H.: A hierarchical model for test-cost-sensitive decision systems. Information Sciences 179, 2442–2452 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  12. Moret, B.M.E.: Decision trees and diagrams. Computing Surveys 14, 593–623 (1982)

    Article  Google Scholar 

  13. Murthy, S.K.: Automatic construction of decision trees from data: A multi-disciplinary survey. Data Mining and Knowledge Discovery 2, 345–389 (1998)

    Article  MathSciNet  Google Scholar 

  14. Pauker, S.G., Kassirer, J.P.: The threshold approach to clinical decision making. The New England Journal of Medicine 302, 1109–1117 (1980)

    Article  Google Scholar 

  15. Pawlak, Z.: Rough Sets: Theoretical Aspects of Reasoning About Data. Kluwer Academic Publishers, Boston (1991)

    Book  MATH  Google Scholar 

  16. Pawlak, Z.: Granularity of knowledge, indiscernibility and rough sets. In: Proceedings of the 1998 IEEE International Conference on Fuzzy Systems, pp. 106–110 (1998)

    Google Scholar 

  17. Pedrycz, W., Skowron, A., Kreinovich, V. (eds.): Handbook of Granular Computing. Wiley, New York (2008)

    Google Scholar 

  18. Sosnowski, L., Ślęzak, D.: How to design a network of comparators. In: BHI 2013 (2013)

    Google Scholar 

  19. Turney, P.D.: Cost-sensitive classification: Empirical evaluation of a hybrid genetic decision tree induction algorithm. Journal of Artificial Intelligence Research 2, 369–409 (1995)

    Google Scholar 

  20. Wald, A.: Sequential tests of statistical hypotheses. Annals of Mathematical Statistics 16, 117–186 (1945)

    Article  MathSciNet  MATH  Google Scholar 

  21. Yao, J.T. (ed.): Novel Developments in Granular Computing: Applications for Advanced Human Reasoning and Soft Computation. Information Science Reference, Herskey (2010)

    Google Scholar 

  22. Yao, J.T., Vasilakos, A.V., Pedrycz, W.: Granular computing: Perspectives and challenges. IEEE Transactions on Cybernetics (2013), doi:10.1109/TSMCC, 2236648

    Google Scholar 

  23. Yao, Y.Y.: Granular computing: Basic issues and possible solutions. In: Proceedings of the 5th Joint Conference on Information Sciences, vol. 1, pp. 186–189 (2000)

    Google Scholar 

  24. Yao, Y.Y.: Probabilistic approaches to rough sets. Expert Systems 20, 287–297 (2003)

    Article  Google Scholar 

  25. Yao, Y.Y.: Probabilistic rough set approximations. International Journal of Approximation Reasoning 49, 255–271 (2008)

    Article  MATH  Google Scholar 

  26. Yao, Y.Y.: Granular computing: Past, present, and future. In: Proceedings of the 2008 IEEE International Conference on Granular Computing, pp. 80–85 (2008)

    Google Scholar 

  27. Yao, Y.Y.: Three-way decisions with probabilistic rough sets. Information Sciences 180, 341–353 (2010)

    Article  MathSciNet  Google Scholar 

  28. Yao, Y.Y.: The superiority of three-way decisions in probabilistic rough set models. Information Sciences 181, 1080–1096 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  29. Yao, Y.Y.: An outline of a theory of three-way decisions. In: Yao, J., Yang, Y., Słowiński, R., Greco, S., Li, H., Mitra, S., Polkowski, L. (eds.) RSCTC 2012. LNCS, vol. 7413, pp. 1–17. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  30. Yao, Y.Y., Deng, X.F.: Sequential three-way decisions with probabilistic rough sets. In: Proceedings of the 10th IEEE International Conference on Cognitive Informatics and Cognitive Computing, pp. 120–125 (2011)

    Google Scholar 

  31. Zadeh, L.A.: Towards a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic. Fuzzy Sets and Systems 19, 111–127 (1997)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Computer Science, University of Regina, Regina, Saskatchewan, Canada, S4S 0A2

    Yiyu Yao

Authors
  1. Yiyu Yao
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Saint Mary’s University, B3H 3C3, Halifax, NS, Canada

    Pawan Lingras

  2. Maria Curie-Skłodowska University, Lublin, Poland

    Marcin Wolski

  3. University of Granada, Spain

    Chris Cornelis

  4. Indian Statistical Institute, 700108, Kolkata, India

    Sushmita Mitra

  5. University of Warsaw, 02-097, Warsaw, Poland

    Piotr Wasilewski

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Yao, Y. (2013). Granular Computing and Sequential Three-Way Decisions. In: Lingras, P., Wolski, M., Cornelis, C., Mitra, S., Wasilewski, P. (eds) Rough Sets and Knowledge Technology. RSKT 2013. Lecture Notes in Computer Science(), vol 8171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41299-8_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-41299-8_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-41298-1

  • Online ISBN: 978-3-642-41299-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation