Nothing Special   »   [go: up one dir, main page]

Skip to main content

Algebraic Structures for Dominance-Based Rough Set Approach

  • Conference paper
Rough Sets and Knowledge Technology (RSKT 2008)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5009))

Included in the following conference series:

Abstract

Dominance-based Rough Set Approach (DRSA) has been proposed to generalize classical rough set approach when monotonicity between memberships to considered concepts has to be taken into account. This is typical for data describing various phenomena, e.g., “the larger the mass and the smaller the distance, the larger the gravity”. These monotonicity relationships are fundamental in rough set approach to multiple criteria decision analysis. In this paper, we propose an algebraic structure for DRSA.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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.

Similar content being viewed by others

References

  1. Cattaneo, G., Giuntini, R., Pilla, R.: BZMVdM algebras and stonian MV-algebras (applications to fuzzy sets and rough approximations). Fuzzy Sets and Systems 108, 201–222 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  2. Cattaneo, G., Ciucci, D.: Algebraic Structures for Rough Sets. In: Peters, J.F., Skowron, A., Dubois, D., Grzymała-Busse, J.W., Inuiguchi, M., Polkowski, L. (eds.) Transactions on Rough Sets II. LNCS, vol. 3135, pp. 208–252. Springer, Heidelberg (2004)

    Google Scholar 

  3. Greco, S., Matarazzo, B., Słowiński, R.: Rough set theory for multicriteria decision analysis. European Journal of Operational Research 129, 1–47 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  4. Greco, S., Matarazzo, B., Słowiński, R.: Decision rule approach. In: Figueira, J., Greco, S., Erghott, M. (eds.) Multiple Criteria Decision Analysis: State of the Art Surveys, pp. 507–563. Springer, Berlin (2005)

    Chapter  Google Scholar 

  5. Greco, S., Matarazzo, B., Słowiński, R.: Dominance-Based Rough Set Approach as a Proper Way of Handling Graduality in Rough Set Theory. In: Peters, J.F., Skowron, A., Marek, V.W., Orłowska, E., Słowiński, R., Ziarko, W. (eds.) Transactions on Rough Sets VII. LNCS, vol. 4400, pp. 36–52. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  6. Pawlak, Z.: Rough Sets. International Journal of Computer and Information Sciences 11, 341–356 (1982)

    Article  MathSciNet  Google Scholar 

  7. Pawlak, Z.: Rough Sets. Kluwer, Dordrecht (1991)

    MATH  Google Scholar 

  8. Słowiński, R., Greco, S., Matarazzo, B.: Rough set based decision support. In: Burke, E., Kendall, G. (eds.) Search Methodologies: Introductory Tutorials in Optimization and Decision Support Techniques, ch. 16, pp. 475–527. Springer, New York (2005)

    Google Scholar 

  9. Vakarelov, D.: Consequence Relations and Information Systems. In: Słowiński, R. (ed.) Intelligent Decision Support. Handbook of Applications and Advances of the Rough Sets Theory, pp. 391–399. Kluwer, Dordrecht (1992)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Guoyin Wang Tianrui Li Jerzy W. Grzymala-Busse Duoqian Miao Andrzej Skowron Yiyu Yao

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Greco, S., Matarazzo, B., Słowiński, R. (2008). Algebraic Structures for Dominance-Based Rough Set Approach. In: Wang, G., Li, T., Grzymala-Busse, J.W., Miao, D., Skowron, A., Yao, Y. (eds) Rough Sets and Knowledge Technology. RSKT 2008. Lecture Notes in Computer Science(), vol 5009. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79721-0_37

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-79721-0_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-79720-3

  • Online ISBN: 978-3-540-79721-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics