Abstract
Medical knowledge as well as clinical practice are characterized by inescapable uncertainty. There are many reasons this is the case, but foremost among them is that almost everything in medicine is inevitably vague, be it something linguistic such as the term “illness”, or something extra-linguistic such as the condition referred to as illness. If we ask ourselves, then, what the term “illness” means exactly, on the one hand; and how we may precisely delimit the condition illness, on the other; we shall recognize that to answer these and similar questions requires specific methods that enable us to adequately cope with vagueness. As we shall see below, fuzzy logic provides us with just such methods.
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References
Bellman RE, and Zadeh LA. Local and fuzzy logics. In: Dunn JM, and Epstein E (eds.), Modern Uses of Multiple-Valued Logic, pp. 105–151. Dordrecht: D. Reidel Publishing Company, 1977.
Dubois D, and Prade H (eds.). The Handbook of Fuzzy Sets Series. 7 volumes. Boston: Kluwer Academic Publishers, 1998–2000.
Gottwald S. Mathematical fuzzy logic as a tool for the treatment of vague information. Information Sciences 2005; 172:41–71.
Hajek P. Fuzzy predicate calculus and fuzzy rules. In: Ruan D, and Kerre EE (eds.), Fuzzy IF-THEN Rules in Computational Intelligence: Theory and Applications, pp. 27–36. Dordrecht: Kluwer Academic Publishers, 2000.
Hajek P. Metamathematics of Fuzzy Logic. Dordrecht: Kluwer Academic Publishers, 2002.
Kaufmann A, and Gupta MM. Introduction to Fuzzy Arithmetic. Theory and Applications. London: International Thomson Computer Press, 1991.
Klir GJ, and Yuan B. Fuzzy Sets and Fuzzy Logic. Theory and Applications. Upper Saddle River, NJ: Prentice Hall, 1995.
Klir GJ, and Yuan B (eds.). Fuzzy Sets, Fuzzy Logic, and Fuzzy Systems. Selected Papers by Lotfi A. Zadeh. Singapore: World Scientific, 1996.
Kosko B. Fuzzy entropy and conditioning. Information Sciences 1986; 40:165-174.
Kosko B. Neural Networks and Fuzzy Systems. A Dynamical Systems Approach to Machine Intelligence. Englewood Cliffs, NJ: Prentice Hall, 1992.
Kosko, B. Fuzzy Engineering. Upper Saddle River, NJ: Prentice Hall, 1997.
Lakoff G. Hedges: A study in meaning criteria and the logic of fuzzy concepts. Journal of Philosophical Logic 1973; 2:458–508.
Mordeson JN, and Nair PS. Fuzzy Mathematics. Heidelberg: Physica-Verlag, 2001.
Sadegh-Zadeh K. Advances in fuzzy theory. Artif Intell Med 1999; 15:309–323.
Sadegh-Zadeh K. The Fuzzy Revolution: Goodbye to the Aristotelean Weltanschauung. Artif Intell Med 2001; 21:1–25.
Seising R. The Fuzzification of Systems: The Genesis of Fuzzy Set Theory and its Initial Applications - Developments up to the 1970s. Berlin: Springer-Verlag, 2007.
Turunen E. Mathematics Behind Fuzzy Logic. Heidelberg: Physica-Verlag, 1999.
Zadeh LA. From circuit theory to systems theory. Proc. IRE, 1962; 50:856–865.
Zadeh LA. Fuzzy sets. Information and Control 1965; 8:338–353.
Zadeh LA. Fuzzy sets and systems. In Fox J (ed.), System Theory. Brooklyn, NY: Polytechnic Press, 1965, pp. 29–39.
Zadeh LA. A fuzzy-set-theoretical interpretation of linguistic hedges. Journal of Cybernetics 1972; 2:4–34.
Zadeh LA. A rationale for fuzzy control. Journal of Dynamical Systems, Measurement, and Control (Trans. ASME, Ser. G), 1972; 94(1):3–4.
Zadeh LA. Outline of a new approach to the analysis of complex systems and decision processes. IEEE Trans. Systems, Man and Cybernetics 1973; 3:28–44.
Zadeh LA. Fuzzy logic and its application to approximate reasoning. Information Processing 74, Proc. IFIP Congr. 1974 (3), pp. 591–594.
Zadeh LA. On the analysis of large-scale systems. In: Göttinger H (ed.), Systems Approaches and Environment Problems, pp. 23–37. Göttingen, Germany: Vandenhoeck and Ruprecht, 1974.
Zadeh LA. Fuzzy logic and approximate reasoning. Synthese 1975; 30:407–428.
Zadeh LA. Calculus of fuzzy restrictions. In Zadeh LA, Fu KS, Tanaka K, and Shimura M (eds.), Fuzzy Sets and their Applications to Cognitive and Decision Processes, pp. 1–39. New York: Academic Press, 1975.
Zadeh LA. The concept of a linguistic variable and its application to approximate reasoning, I. Information Sciences 1975; 8:199–251.
Zadeh LA. The concept of a linguistic variable and its application to approximate reasoning, II. Information Sciences 1975; 8:301–357.
Zadeh LA. The concept of a linguistic variable and its application to approximate reasoning, III. Information Sciences 1976; 9:43–80.
Zadeh LA. A fuzzy-algorithmic approach to the definition of complex or imprecise concepts. International Journal of Man-Machine Studies 1976; 8:249–291.
Zadeh LA. A theory of approximate reasoning. In: Hayes J, Michie D, and Mikulich LI (eds.). Machine Intelligence, Vol. 9, pp. 149–194. New York: Halstead Press, 1979.
Zadeh LA. A computational approach to fuzzy quantifiers in natural languages. Computers and Mathematics with Applications 1983; 9:149–184.
Zadeh LA. Fuzzy probabilities. Information Processing and Management 1984; 20:363–372.
Zadeh LA. A Theory of commonsense knowledge. In: Skala HJ, Termini S, and Trillas E (eds.), Aspects of Vagueness. Dordrecht: D. Reidel, 1984, pp. 257–296.
Zadeh LA. Syllogistic reasoning in fuzzy logic and its application to usuality and reasoning with dispositions. IEEE Trans. Systems, Man, and Cybernetics 1985; SMC-15, pp. 754–765.
Zadeh LA. The role of fuzzy logic in modeling, identification and control. Modeling, Identification and Control 1994; 15:191–203.
Zadeh LA. The birth and evolution of fuzzy logic, soft computing and computing with words: A personal perspective. In: Klir GJ, and Yuan B (eds.), Fuzzy Sets, Fuzzy Logic, and Fuzzy Systems. Selected Papers by Lotfi A. Zadeh, pp. 811–819. Singapore: World Scientific, 1996.
Zadeh LA. Fuzzy logic and the calculi of fuzzy rules and fuzzy graphs. A precis. Multi. Val. Logic 1996; 1:1–38.
Zadeh LA. Fuzzy logic. In Meyers AR (ed.), Encyclopedia of Complexity and Systems Science, pp. 3985–4009. New York: Springer, 2009.
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Sadegh-Zadeh, K. (2012). Fuzzy Logic. In: Handbook of Analytic Philosophy of Medicine. Philosophy and Medicine(), vol 113. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2260-6_30
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