Medical Applications with Fuzzy Sets

  • Elie Sanchez
Part of the NATO ASI Series book series (ASIC, volume 177)


This tutorial paper presents a treatment of linguistic entities in medicine, allowing the assignment of graded diagnoses or types to patients. A knowledge base can consist of a tableau with linguistic entries or of a set of propositions within rules and, in both cases, relationships between attributes like plasma lipids, serum proteins, and diagnoses or types, are not expressed by numbers but by labels of fuzzy sets. Possibility distributions and fuzzy intervals are simply introduced to give a meaning to the fuzzy propositions issued from the knowledge base. Finally, it is shown how possibility measures can be used to assign different types to patients after examination of their condition.


Membership Function Fuzzy Number Fuzzy Subset Fuzzy Relation Possibility Distribution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Adlassnig, K. P., ‘A survey on medical diagnosis and fuzzy sets’, in Approximate reasoning in decision analysis, M. M. Gupta and E. Sanchez (eds.), North-Holland (1982) 203–217.Google Scholar
  2. [2]
    Albin, M. A., ‘Fuzzy sets and their application to medical diagnosis and pattern recognition’, Ph. D. dissertation, University of California, Berkeley (1975).Google Scholar
  3. [3]
    Beaumont, J. L., Carlson, L. A., Cooper, G. R., Fejfar, Z., Fedrikson, D. S., and Strasser, T., ‘Classification of hyperlipidenias and hyperlipoproteinemias’, Bull. WHO, 13 (1970) 891–915.Google Scholar
  4. [4]
    Bressan, N., Dalla Volta, S., Degani, R. and Pacini, G., ‘Fuzzy diagnosis in automatic electrocardiography’, in Progress in electrocardiology, P. W. Macfarlane (ed.), Pitman Medical (1979) 242–249.Google Scholar
  5. [5]
    Buisson, J.C, Farreny, H. and Prade, H., ‘Un systàrne expert en diabétologie accessible par Minitel’, Proc. 5th Inter. Workshop on expert systems and their applications, Avignon, France (1935) 173–189.Google Scholar
  6. [6]
    Cayrol, M., Farreny, H. and Prade, H., ‘Fuzzy pattern matching’, Kybernetes, 11 (1982) 103–116.CrossRefGoogle Scholar
  7. [7]
    Esogbue, A. O. and Elder, R.C, ‘Fuzzy sets and the modelling of physician decision processes. Part I: the initial interview-information gathering session’, Fuzzy sets and systems, 2 (1979) 279–291.zbMATHCrossRefGoogle Scholar
  8. [8]
    Esogbue, A. O., and Elder, R. C., ‘Fuzzy sets and the modelling of physician decision processes. Part II: Fuzzy diagnosis models’, Fuzzy sets and systems 3 (1980) 1–9.zbMATHCrossRefGoogle Scholar
  9. [9]
    Fordon, W. A. and Bezdek, J.C, ‘The application of fuzzy set theory to medical diagnosis’ in Advances in fuzyy set theory and applications, N. M. Gupta, R. K. Pagade and R. R. Yager (eds.) North-Holland (1979) 445–461.Google Scholar
  10. [10]
    Fox, J., ‘Some observations on fuzzy diagnosis and medical computing’, Int. J. Bio-Medical Computing, 8 (1977) 269–275.CrossRefGoogle Scholar
  11. [11]
    Fredrickson, D. S., Levy, R. I., and Lees, R. S., ‘Fat transport in lipoproteins’ N. Engl. J. Med., 276 (1967) 32–44, 94-103, 148-156, 215-226, 273-281.Google Scholar
  12. [12]
    French, R. H., Guide to diagnotic procedures, Mc Graw-Hill, New York (1975).Google Scholar
  13. [13]
    Joly, H., Sanchez, E., Gouvernet, J., and Valty, J. ‘Application of fuzzy set theory to the evaluation of cardiac function’, MEDINFO 80 Tokyo, Proceedings, Lindberg/Kaihara (eds.), North-Holland, I, (1980) 91–95.Google Scholar
  14. [14]
    Lesmo, L., Saitta, L. and Torasso, P., ‘Computer aided evaluation of liver functional assessment’, Proc. 4th. annual symp. on Comp. appl. in medical care, Washington D. C. (1980) 131–189.Google Scholar
  15. [15]
    Lesmo, L., Saitta, L. and Torasso, P., ‘Learning of fuzzy production rules for medical diagnosis’ in Approximate reasoning in decision analysis, M. M. Gupta and E. Sanchez (eds.), North-Holland (1982) 249–260.Google Scholar
  16. [16]
    Martin-Clouaire, R. R., ‘A computer-aided medical diagnosis method based on a fuzzy set theoretical approach’ M. Sc. Thesis, University of Saskatchewan (1982).Google Scholar
  17. [17]
    Nomura, Y., Hakamura, N., Mishima, H. and Kato, N., ‘Application of fuzzy decisionanalysis to the management of pancreatic cancer’, Automedica 3 (1980) 131–139.Google Scholar
  18. [18]
    Sanchez, E., ‘Medical diagnosis and composite fuzzy relations’ in Advances in fuzzy set theory and applications, M. M. Gupta, R. K. Ragade and R. R. Yager (eds.), North-Holland (1979) 437–444.Google Scholar
  19. [19]
    Sanchez, E. ‘Fuzzy logics with application to medical diagnosis’ J.A.C.C., San Francisco, Proceedings, II, FAIO-D (1980).Google Scholar
  20. [20]
    Sanchez, E., Gouvernet, J., Bartolin, R., and Vovan, L., ‘Linguistic approach in fuzzy logic of the WHO classification of dyslipoproteinemias’, in Recent Developments in Fuzzy Set and Possibility Theory, R. R. Yager (ed.), Pergamon Press, New York (1932) 582–588.Google Scholar
  21. [21]
    san Marco, J. L., Sanchez, E., Soula, G., Sambuc, R., and Gouvernet, J., ‘Classification de formes floues: application au diagnostic médical’, Coll. Int. sur la théorie et les appl. des sous-ensembles flous, Marseille, Proceedings, vol. II (1978).Google Scholar
  22. [22]
    Soula, G., Vialettes, B., San Marco, J. L., Thirion, X. and Roux, M., ‘PROTIS: a fuzzy expert system with medical applications’, to appear in Fuzzy logics in knowledge engineering, VERLAG-TUV, Rheinland, Cologne.Google Scholar
  23. [23]
    Su Zaifu and Wang Huaiqing, ‘The first order artificial intelligence bianzheng (diagnosis) system of Chinese traditional medicine’ in Fuzzy information, knowledge representation and decision analysis, E. Sanchez (ed.) Pergamon Press (1984) 21–25.Google Scholar
  24. [24]
    Wechsler, H., ‘A fuzzy approach to medical diagnosis’, Int. J. Bio-Medical computing, 7 (1976) 191–203.CrossRefGoogle Scholar
  25. [25]
    Zadeh, L. A., ‘Biological application of the theory of fuzzy sets and systems’ in Biocybernetics of the central nervous sytem, L. D. Proctor (ed.), Little Brown (1969) 199–212.Google Scholar
  26. [26]
    Zadeh, L. A., ‘Fuzzy sets and their application to pattern classification and cluster analysis’, in Classification and Clustering, J. Van Ryzin (ed.), Academic Press, New York, (1977) 251–299.Google Scholar
  27. [27]
    Zadeh, L. A., ‘Fuzzy sets as a basis for a theory of possibility’, Fuzzy sets and systems, 1, (1973) 3–28.MathSciNetCrossRefGoogle Scholar

Copyright information

© D. Reidel Publishing Company 1986

Authors and Affiliations

  • Elie Sanchez
    • 1
  1. 1.Laboratoire d’Informatique MédicaleFaculté de MédecineMarseilleFrance

Personalised recommendations