Submit your research to the International Journal "Notes on Intuitionistic Fuzzy Sets". Contact us at

Issue:Intuitionistic fuzzy sets in some medical applications

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Revision as of 15:30, 16 July 2017 by Vassia Atanassova (talk | contribs) ([[Category:Publications on intuitionistic fuzzy sets in medicine|{{PAGENAME}}])
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
Title of paper: Intuitionistic fuzzy sets in some medical applications
Eulalia Szmidt
Systems Research lnstitute - Polish Academy of Sciences, ul. Newelska 6, OL-447 Warsaw, Poland
Janusz Kacprzyk
Systems Research lnstitute - Polish Academy of Sciences, ul. Newelska 6, OL-447 Warsaw, Poland
Presented at: 5th ICIFS, Sofia, 22-23 Sept. 2001
Published in: Conference proceedings, "Notes on IFS", Volume 7 (2001) Number 4, pages 58-64
Download: Download-icon.png PDF (155  Kb, Info)
Abstract: 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.

Keywords: Intuitionistic fuzzy sets, Medical diagnostics
  1. Atanassov K. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986) 87-96.
  2. Atanassov K. (1999) Intuitionistic Fuzzy Sets: Theory and Applications. Physica-Verlag.
  3. Biswas R. (1997) Intuitionistic fuzzy relations. Bull. Sous. Ens. Flous.Appl. (BUSEFAL), Vol. 70, pp. 22{29.
  4. 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.
  5. 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.
  6. Sanchez E. (1976) Resolution of composition fuzzy relation equations. Inform. Control, Vol. 30, pp. 38-48.
  7. Szmidt E. and Kacprzyk J. (1997) On measuring distances between intuitionistic fuzzy sets, Notes on IFS, Vol.3, No.4, pp.1 - 13.
  8. Szmidt E. and J. Kacprzyk J. (2000) Distances between intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol.114, No.3, pp.505 - 518.
  9. Zadeh L.A. (1965) Fuzzy sets. Information and Control 8, pp. 338 - 353.

The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.