Volume 1, Issue 2, December 2016, Page: 36-45
Utility of Correlation Measures for Weighted Hesitant Fuzzy Sets in Medical Diagnosis Problems
B. Farhadinia, Department Mathematics, Quchan University of Advanced Technology, Iran
Received: Dec. 22, 2015;       Accepted: Feb. 15, 2016;       Published: Oct. 28, 2016
DOI: 10.11648/j.mma.20160102.12      View  3037      Downloads  86
Abstract
Due to importance of correlation measure in data analysis, some researchers have shown great interest in the concept of correlation measure for extensions of fuzzy sets, in particular, for a new extension known as hesitant fuzzy set (HFS). Recently, an extension of HFS called the weighted hesitant fuzzy set (WHFS) has been developed by Zhang and Wu [1] to allow the membership of a given element is defined in terms of several possible values together with their importance weight. But, Zhang and Wu’s definition of WHFS gives rise to a number of disadvantages which violate the well-known axioms for mathematical operations. To circumvent this issue, we refine the definition of WHFS and then we put forward some correlation measures for WHFSs. Finally, we give a practical example to illustrate the application of proposed correlation measures for WHFSs in medical diagnosis.
Keywords
Weighted Hesitant Fuzzy Set, Correlation Measure, Medical Diagnosis Problem
To cite this article
B. Farhadinia, Utility of Correlation Measures for Weighted Hesitant Fuzzy Sets in Medical Diagnosis Problems, Mathematical Modelling and Applications. Vol. 1, No. 2, 2016, pp. 36-45. doi: 10.11648/j.mma.20160102.12
Copyright
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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