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| Title of paper:
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Intuitionistic fuzzy sets in some medical applications
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| Author(s):
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| Eulalia Szmidt
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| Systems Research lnstitute - Polish Academy of Sciences, ul. Newelska 6, OL-447 Warsaw, Poland
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| szmidt@ibspan.waw.pl
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| Janusz Kacprzyk
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| Systems Research lnstitute - Polish Academy of Sciences, ul. Newelska 6, OL-447 Warsaw, Poland
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| kacprzyk@ibspan.waw.pl
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| Published in:
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"Notes on IFS", Volume 7 (2001) Number 1, pages 1-3
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| Download:
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 PDF (131 Kb, File info)
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| Abstract:
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Intuitionistic fuzzy sets as a generalization of fuzzy sets can be useful in situations when description of a problem by a (fuzzy) linguistic variable, given in terms of a membership function only, seems too rough. For example, in decision making problems, particularly in the case of medial diagnosis, sales analysis, new product marketing, financial services, etc. there is a fair chance of the existence of a non-null hesitation part at each moment of evaluation of an unknown object. To be more precise - intuitionistic fuzzy sets let us express e.g., the fact that the temperature of a patient changes, and other symptoms are not quite clear.
In this article we will present intuitionistic fuzzy sets as a tool for reasoning in the presence
of imperfect facts and imprecise knowledge. An example of medical diagnosis will
be presented assuming there is a database, i.e. description of a set of symptoms S, and a
set of diagnoses D. We will describe a state of a patient knowing results of his/her medical
tests. Description of the problem uses the notion of an intuitionistic fuzzy set. The proposed
method of diagnosis involves intuitionistic fuzzy distances.
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| Keywords:
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Intuitionistic fuzzy sets, Medical diagnostics
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| References:
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- Atanassov K. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986) 87-96.
- Atanassov K. (1999) Intuitionistic Fuzzy Sets: Theory and Applications. Physica-Verlag.
- Biswas R. (1997) Intuitionistic fuzzy relations. Bull. Sous. Ens. Flous.Appl. (BUSEFAL), Vol. 70, pp. 22{29.
- De S.K., Biswas R. and Roy A.R. (2001) An application of intuitionistic fuzzy sets in medical diagnosis. Fuzzy Sets and Systems, Vol. 117, No.2, pp. 209 - 213.
- Sanchez E. (1977) Solutions in composite fuzzy relation equation. Application to medical diagnosis Brouwerian Logic. In: M.M. Gupta, G.N. Saridis, B.R. Gaines (Eds.), Fuzzy Automata and Decision Process, Elsevier, North-Holland.
- Sanchez E. (1976) Resolution of composition fuzzy relation equations. Inform. Control, Vol. 30, pp. 38{48.
- Szmidt E. and Kacprzyk J. (1997) On measuring distances between intuitionistic fuzzy sets, Notes on IFS, Vol.3, No.4, pp.1 - 13.
- Szmidt E. and J. Kacprzyk J. (2000) Distances between intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol.114, No.3, pp.505 - 518.
- Zadeh L.A. (1965) Fuzzy sets. Information and Control 8, pp. 338 - 353.
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