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The Mamdani Expert-System with Parametric Families of Fuzzy Constraints in Evaluation of Cancer Patient Survival Length

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Emerging Paradigms in Machine Learning

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 13))

Abstract

Strict analytic formulas are the tools usually derived for determining the formal relationships between a sample of independent variables and a variable which they affect. If we cannot formalize the function tying the independent and dependent variables then we will utilize some expert-system control actions. We often adopt their fuzzy variants developed by Mamdani, Sugeno and Takagi. Fuzzy expert-system algorithms are furnished with softer mechanisms, when comparing them to crisp versions. An efficient action of these softer mechanisms depends on the proper fuzzification of variables. At the stage of fuzzifying the variable levels we will prove some parametric expressions, which rearrange one function to several forms needed by the expert-system algorithm. The general parametric equation of membership functions allows creating arbitrary lists without any intuitive assumptions.

The fuzzy expert-system algorithms are particularly adaptable to support medical tasks to solve. These tasks often cope with uncertain premises and conclusions. From the medical point of view it would be desirable to prognosticate the survival length for patients suffering from gastric cancer. We thus formulate the objective of the current chapter as the utilization of the Mamdani fuzzy control actions as a methodology adapted for the purpose of making the survival prognoses.

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References

  1. Al-Odienat, A.I., Al-Lawama, A.A.: The Advantages of PID Fuzzy Controllers over the Conventional Types. American Journal of Applied Sciences 5(6), 653–658 (2008)

    Article  Google Scholar 

  2. Andrei, N.: Modern Control Theory: a Historical Perspective. Centre for Advanced Modelling and Optimization. Research Institute for Informatics, Romania (2005), http://www.ici.ro/camo/neculai/history.pdf

  3. Chen, C.-T., Lin, W.-L., Kuo, T.-S., Wang, C.-Y.: Blood Pressure Regulation by Means of a Neuro-fuzzy Control System. In: The 18th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, Amsterdam, pp. 1725–1726 (1996)

    Google Scholar 

  4. Cox, D.: Regression Models and Life Tables. J. Roy. Stat. Soc. B 4, 187–220 (1972)

    Google Scholar 

  5. Kim, D.-K., Oh, S.Y., Kwon, H.-C., Lee, S., Kwon, K.A., Kim, B.G., Kim, S.-G., Kim, S.-H., Jang, J.S., Kim, M.C., Kim, K.H., Han, J.-Y., Kim, H.-J.: Clinical Significances of Preoperative Serum Interleukin-6 and C-reactive Protein Level in Operable Gastric Cancer. BMC Cancer 9, 155–156 (2009)

    Article  Google Scholar 

  6. Everitt, B., Rabe-Hesketh, S.: Analyzing Medical Data Using S-PLUS. Springer, New York (2001)

    Book  MATH  Google Scholar 

  7. Hernández, C., Carollo, A., Tobar, C.: Fuzzy Control of Postoperative Pain. In: Proceedings of the Annual International Conference of the IEEE, pp. 2301–2303 (1992)

    Google Scholar 

  8. Isaka, S., Sebald, A.V.: An Adaptive Fuzzy Controller for Blood Pressure Regulation. In: The 11th Annual International Conference on IEEE Engineering in Medicine & Biology Society, pp. 1763–1764 (1989)

    Google Scholar 

  9. Kaplan, E., Meier, P.: Nonparametric Estimation from Incomplete Observations. Journal American Statistical Association 53, 457–481 (1958)

    Article  MathSciNet  MATH  Google Scholar 

  10. Ma, X.J., Sun, Z.Q., He, Y.Y.: Analysis and Design of Fuzzy Controller and Fuzzy Observer. IEEE Transactions on Fuzzy Systems 6(1), 41–51 (1998)

    Article  Google Scholar 

  11. Mamdani, E.H., Assilian, S.: An Experiment in Linguistic Synthesis with a Fuzzy Logic Controller. Int. J. Man-Machine Studies 7, 1–13 (1973)

    Article  Google Scholar 

  12. de Mello, J., Struthers, L., Turner, R., Cooper, E.H., Giles, G.R.: Multivariate Analyses as Aids to Diagnosis and Assessment of Prognosis in Gastrointestinal Cancer. Br. J. Cancer 48, 341–348 (1983)

    Article  Google Scholar 

  13. Newland, R.C., Dent, O.F., Lyttle, M.N., Chapuis, P.H., Bokey, E.L.: Pathologic Determinants of Survival Associated with Colorectal Cancer with Lymph Node Metastases. A Multivariate Analysis of 579 Patients. Cancer 73(8), 2076–2082 (1994)

    Google Scholar 

  14. Nguyen, H.T., Prasad, N.R., Walker, C.L., Walker, E.A.: A First Course in Fuzzy and Neural Control. Chapman & Hall/CRC (2002)

    Google Scholar 

  15. Passino, K.M., Yurkovich, S.: Fuzzy Control. Addison-Wesley Longman Inc. (1997)

    Google Scholar 

  16. Preitl, S., Precup, R.E., Preitl, Z.: Development of Conventional and Fuzzy Controllers and Takagi-Sugeno Fuzzy Models Dedicated for Control of Low Order. Acta Polytechnica Hungarica 2(1), 75–92 (2005)

    Google Scholar 

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

    Google Scholar 

  18. Rakus-Andersson, E.: Adjusted s-parametric Functions in the Creation of Symmetric Constraints. In: Proceedings of the 10th International Conference on Intelligent Systems Design and Applications, ISDA 2010, Cairo, Egypt, pp. 451–456 (2010)

    Google Scholar 

  19. Rakus-Andersson, E.: Approximate Reasoning in Cancer Surgery. In: Proceedings of the International Conference on Fuzzy Computation Theory and Applications, FCTA 2011, Paris, France, pp. 466–469 (2011)

    Google Scholar 

  20. Rakus-Andersson, E., Zettervall, H., Forssell, H.: Fuzzy Controllers in Evaluation of Sur-vival Length in Cancer Patients. In: Recent Advances in Fuzzy Sets, In: Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics. Volume II: Applications, Polish Academy of Sciences, System Research Institute, Warsaw, pp. 203-222 (2011)

    Google Scholar 

  21. Sugeno, M.: An Introductory Survey of Fuzzy Control. Inf. Sci. 36, 59–83 (1985)

    Article  MathSciNet  MATH  Google Scholar 

  22. Sugeno, M., Nishida, M.: Fuzzy Control of Model Car. Fuzzy Sets and Systems 16(2), 103–113 (1985)

    Article  Google Scholar 

  23. Sargent, D.J.: Comparison of Artificial Networks with Other Statistical Approaches. Cancer 91, 1636–1942 (2001)

    Article  Google Scholar 

  24. Sutton, R., Towill, D.R.: An Introduction to the Use of Fuzzy Sets in the Implementation of Control Algorithms. IEEE Trans., UDC 510.54:62-519:629.12.014.5 (1985), paper no. 2208/ACS39

    Google Scholar 

  25. Takagi, T., Sugeno, M.: Fuzzy Identification of Systems and Its Applications to Modeling and Control. IEEE Transactions on Systems, Man and Cybernetics SMC-15(1), 116–132 (1985)

    Article  Google Scholar 

  26. Zettervall, H., Rakus-Andersson, E., Forssell, H.: The Mamdani Controller in Prediction of the Survival Length in Elderly Gastric Patients. In: Proceedings of Bioinformatics 2011, Rome, pp. 283–286 (2011)

    Google Scholar 

  27. Zettervall, H.: Fuzzy and Rough Theory in the Treatment of Elderly Gastric Cancer Patients. Licentiate Dissertation, Karlskrona, Sweden (2011)

    Google Scholar 

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Correspondence to Elisabeth Rakus-Andersson .

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Rakus-Andersson, E. (2013). The Mamdani Expert-System with Parametric Families of Fuzzy Constraints in Evaluation of Cancer Patient Survival Length. In: Ramanna, S., Jain, L., Howlett, R. (eds) Emerging Paradigms in Machine Learning. Smart Innovation, Systems and Technologies, vol 13. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28699-5_14

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  • DOI: https://doi.org/10.1007/978-3-642-28699-5_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28698-8

  • Online ISBN: 978-3-642-28699-5

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