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Issue:Distances between intuitionistic fuzzy sets of second type with application to diagnostic medicine

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Title of paper: Distances between intuitionistic fuzzy sets of second type with application to diagnostic medicine
Author(s):
P. A. Ejegwa
Department of Mathematics/Statistics/Computer Science, University of Agriculture, P. M. B. 2373, Makurdi, Nigeria
ejegwa.augustine@uam.edu.ng , ocholohi@gmail.com
I. M. Adamu
Department of Mathematics, Federal University Dutse, P. M. B. 7156, Dutse, Nigeria
idreesmuhammadadam@gmail.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 25 (2019), Number 3, pages 53–70
DOI: 10.7546/nifs.2019.25.3.53-70
Download:  PDF (180  Kb, Info)
Abstract: The concept of intuitionistic fuzzy sets of second type (IFSST) generalizes intuitionistic fuzzy sets (IFS) and thus, has many applications in decision making problems. The main feature of IFSST is that it is characterized by three parameters, namely: membership degree, non-membership degree and degree of indeterminacy in such a way that the sum of the square of each of the parameters is one. The purpose of this paper is to present the axiomatic definition of distance between IFSST, taking into account the three parameters that describe the sets and to investigate numerically, the validity of some distances between intuitionistic fuzzy sets introduced by E. Szmidt and J. Kacprzyk in IFSST environment. Finally, we explore the application of IFSST in diagnostic medicine by employing normalized Hamming distance of IFSST to calculate the distance between patients and diseases, because it provides a reliable distance with respect to other distances. Actually, by using the distance between patients and diseases (both in IFSST values), with recourse to the corresponding symptoms observe in the patients and of the diseases, we determine the illness of the paients. These distances are suggestible to be deployed in solving multicriteria decision making problems.
Keywords: Diagnostic medicine, Distance measure, Fuzzy set, Intuitionistic fuzzy set, Intuitionistic fuzzy set of second type.
AMS Classification: 20N20, 03E72.
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