Skip to main content

Fuzzy Numbers as Utilities of Decision Making in Treatment of Radiation Cystitis

  • Conference paper
Advances on Computational Intelligence (IPMU 2012)

Abstract

Theoretical fuzzy decision-making models mostly developed by Zadeh, Bellman, Jain, Herrera and Yager can be adopted as useful tools to estimation of the total effectiveness-utility of a treatment when appreciating its distinct influences on a collection of symptoms characteristic of a considered diagnosis.

We prove, as a novelty of the classical fuzzy decision making model, the insertion of fuzzy numbers in the α-cut form to a utility matrix. In the current paper we wish to apply the modified fuzzy decision making to extract the most efficacious treatment in radiation cystitis.

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

Access this chapter

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.

References

  1. Bellman, R.E., Zadeh, L.A.: Decision Making in a Fuzzy Environment. Management Sci. 17(4), 141–164 (1970)

    Article  MathSciNet  Google Scholar 

  2. Buckley, J., Eslami, E.: An Introduction to Fuzzy Logic and Fuzzy Sets. AISC. Springer, Heidelberg (2002)

    MATH  Google Scholar 

  3. Denton, A.S., Clarke, N., Maher, J.: Non-surgical Interventions for Late Radiation Cystitis in Patients who Have Received Radical Radiotherapy to the Pelvis. Wiley Online – The Cochrane Library (2009), http://onlinelibrary.wiley.com/doi/10.1002/14651858.CD001773/pdf

  4. Dubois, D., Prade, H.: Operations on Fuzzy Numbers. Int. J. Systems Sci. 9(6), 613–626 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  5. Dubois, D., Prade, H.: Fundamentals of Fuzzy Sets. Kluwer Academic Publishers, Dordrecht (2000)

    MATH  Google Scholar 

  6. Herrera, F., Herrera-Viedma, E.: Linguistic Decision Analysis: Steps for Solving Decision Problems under Linguistic Information. Fuzzy Sets and Systems 115, 67–82 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  7. Jain, R.: Decision Making in the Presence of Fuzzy Variables. IEEE Trans. Syst. Man and Cybern. 6, 698–703 (1976)

    Article  MATH  Google Scholar 

  8. Kumar, K.J.: Fuzzy Logic and Modern Analytical Tool Coupling in Comprehensive Evaluation of Traditional and Complementary Medicine. Pharmacognosy Magazine 2, 202–203 (2006)

    Google Scholar 

  9. Martinez-Rodrigues, R., Areal Calama, J., Buisan Rueda, O., González Satue, C., Sanchez Macias, J., Arzoz Fabregas, M., Gago Ramos, J., Bayona Arenas, S., Ibarz Servio, L., Saladié Roig, J.M.: Practical Treatment Approach of Radiation Induced Cystitis. Actas Urol. Esp. 34(7), 603–609 (2010)

    Article  Google Scholar 

  10. Mesiar, R., Calvo, T., Yager, R.R.: Quantitative Weights and Aggregation. IEEE Transactions on Fuzzy Systems 12, 62–69 (2004)

    Article  Google Scholar 

  11. Nieto, J.J., Torres, A.: Midpoints for Fuzzy Sets and Their Application in Medicine. Artificial Intelligence in Medicine 27, 81–101 (2003)

    Article  Google Scholar 

  12. Rakus-Andersson, E.: Minimization of Regret versus Unequal Multi-objective Fuzzy Decision Process in a Choice of Optimal Medicines. In: Proceedings of the XIth International Conference on Information Processing and Management of Uncertainty in Knowledge based Systems, IPMU 2006, Paris, France, pp. 1181–1189 (2006)

    Google Scholar 

  13. Rakus-Andersson, E.: Fuzzy and Rough Techniques in Medical Diagnosis and Medication. Springer, Heidelberg (2007)

    MATH  Google Scholar 

  14. Rakus-Andersson, E.: Fuzzy Probabilities of Biological Continuous Fuzzy Events. International Journal of Computational Intelligence Studies 1(2), 191–204 (2010)

    Article  Google Scholar 

  15. Saaty, T.L.: Exploring the Interface between Hierarchies, Multiplied Objectives and Fuzzy Sets. Fuzzy Sets and Systems 1, 57–68 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  16. Yager, R.R.: Fuzzy Decision Making Including Unequal Objectives. Fuzzy Sets and Systems 1, 87–95 (1978)

    Article  MATH  Google Scholar 

  17. Yager, R.R.: Uncertainty Modeling and Decision Support. Reliability Engineering and System Safety 85, 341–354 (2004)

    Article  Google Scholar 

  18. Yager, R.R.: Generalized OWA Aggregation Operators. Fuzzy Optimization and Decision Making 3, 93–107 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  19. Zadeh, L.A.: From Computing with Numbers to Computing with Words – From Manipulation of Measurements to Manipulation of Perceptions. IEEE Transactions on Circuits and Systems 45, 105–119 (1999)

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Rakus-Andersson, E., Frey, J. (2012). Fuzzy Numbers as Utilities of Decision Making in Treatment of Radiation Cystitis. In: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., Yager, R.R. (eds) Advances on Computational Intelligence. IPMU 2012. Communications in Computer and Information Science, vol 297. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31709-5_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-31709-5_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31708-8

  • Online ISBN: 978-3-642-31709-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics