TEST OF ACCURACY OF SOME DISTANCE MEASURES USE IN THE APPLICATION OF INTUITIONISTIC FUZZY SETS IN MEDICAL DIAGNOSIS

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P. A. Ejegwa

Abstract

Intuitionistic fuzzy set (IFS) is very lucrative in decision science due to the fact that, it incorporates parameters that are integral in decision making. Many applications of intuitionistic fuzzy sets in decision mathematics are carried out using distance measures as tools. We reiterate the application of IFS in diagnostic medicine using some distance measures proposed by E. Szmidt and J. Kacprzyk, comparing the distances, and then give the range of accuracy of the distance measures.

Keywords:fuzzy sets, intuitionistic fuzzy sets, medical diagnosis, distance measures.

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How to Cite
Ejegwa, P. A. (2015). TEST OF ACCURACY OF SOME DISTANCE MEASURES USE IN THE APPLICATION OF INTUITIONISTIC FUZZY SETS IN MEDICAL DIAGNOSIS. Journal of Global Research in Mathematical Archives(JGRMA), 2(5), 55–60. Retrieved from https://jgrma.com/index.php/jgrma/article/view/213
Section
Research Paper

References

K.T. Atanassov, Intuitionistic fuzzy sets, VII ITKR’s Session, Sofia, 1983.

K.T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986) 87-96.

K.T. Atanassov, New operations defined over Intuitionistic fuzzy sets, Fuzzy Sets and Systems 61, 2 (1994) 137-142.

K.T. Atanassov, Intuitionistic fuzzy sets: theory and application, Springer (1999).

K.T. Atanassov, On Intuitionistic fuzzy sets, Springer (2012).

S. K. De, R. Biswas, A.R. Roy, An application of intuitionistic fuzzy sets in medical diagnostic, Fuzzy Sets and Systems 117 (2) (2001) 209-213.

P. A. Ejegwa, B. S. Uleh, E. Onwe, Intuitionistic fuzzy sets in electoral system, Int. Journal of Science and Technology 3 (4) (2014) 241-243.

P. A. Ejegwa, A. J. Akubo, O. M. Joshua, Intuitionistic fuzzy set and its application in career determination via normalized Euclidean distance method, European Scientific Journal 10 (15) (2014) 529-536.

T. K. Shinoj, J. J. Sunil,Intuitionistic Fuzzy multisets and its application in medical diagnosis, International Journal of Mathematical and Computational Sciences 6 (2012) 34- 38.

E. Szmidt, J. Kacprzyk, On measuring distances between intuitionistic fuzzysets, Notes on IFS 3 (4) (1997) 1-3.

E. Szmidt, J. Kacprzyk, Distances between intuitionistic fuzzy Sets, Fuzzy Sets and Systems 114 (3) (2000) 505-518.

E. Szmidt, J. Kacprzyk, Intuitionistic fuzzy sets in some medical applications, Note on IFS 7 (4) (2001) 58-64.

E. Szmidt, J. Kacprzyk, Medical diagnostic reasoning using a similarity measure for intuitionistic fuzzy sets, Note on IFS 10 (4) (2004) 61-69.

E. Szmidt, Distances and similarities in intuitionistic fuzzy sets, Springer (2014).

W. Wang, X. Xin, Distance measure between intuitionistic fuzzy sets. Pattern Recognition Letters 26 (2005) 2063-2069.

L.A. Zadeh, Fuzzy sets, Information and Control 8 (1965) 338-353.