International Journal on Data Science and Technology
Volume 3, Issue 1, January 2017, Pages: 1-7
Received: Feb. 5, 2017;
Accepted: Mar. 19, 2017;
Published: Apr. 18, 2017
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Bahram Farhadinia, Department of Mathematics, Quchan University of Advanced Technology, Quchan, Iran
In this paper, we refine the definition of weighted hesitant fuzzy set (WHFS), the concept that allows the membership of a given element is defined in terms of several possible values together with their importance weight, and then introduce some correlation measures for WHFSs. To illustrate the application of proposed correlation measures for WHFSs, we give a practical example in medical diagnosis.
A Hesitant Fuzzy Based Medical Diagnosis Problem, International Journal on Data Science and Technology.
Vol. 3, No. 1,
2017, pp. 1-7.
Copyright © 2017 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.
Zhang Zh., Wu Ch. (2014), Weighted hesitant fuzzy sets and their application to multi-criteria decision making, British Journal of Mathematics and Computer Science 4, 1091-1123.
Torra V. (2010), Hesitant fuzzy sets, International Journal of Intelligent Systems 25, 529-539.
Farhadinia B. (2014a), Correlation for dual hesitant fuzzy sets and dual interval-valued hesitant fuzzy sets, International Journal of Intelligent Systems 29, 184-205.
Farhadinia B. (2014b), Distance and similarity measures for higher order hesitant fuzzy sets, Knowledge-Based Systems 55, 43-48.
Farhadinia B. (2013a), A novel method of ranking hesitant fuzzy values for multiple attribute decision-making problems, International Journal of Intelligent Systems 28, 752-767.
Farhadinia B. (2013b), Information measures for hesitant fuzzy sets and interval-valued hesitant fuzzy sets, Information Sciences 240, 129-144.
Farhadinia B. (2014e), An efficient similarity measure for intuitionistic fuzzy sets, Soft Computing 18, 85-94.
Farhadinia B., Ban A. I. (2013d), Developing new similarity measures of generalized intuitionistic fuzzy numbers and generalized interval-valued fuzzy numbers from similarity measures of generalized fuzzy numbers, J. Mathematical and Computer Modelling 57, 812-825.
Farhadinia B. (2017), Utility of correlation measures for weighted hesitant fuzzy sets and weighted interval-valued hesitant fuzzy sets in medical diagnosis problems, submitted to Iranian Journal of Fuzzy Systems.
Xia M., Xu Z. (2011), Hesitant fuzzy information aggregation in decision making, International Journal of Approximate Reasoning 52, 395-407.
Jaccard P. (1901), Distribution de la flore alpine dans le Bassin des Drouces et dans quelques regions voisines, Bulletin de la Socit Vaudoise des Sciences Naturelles 37, 241-272.
Dice L. R. (1945), Measures of the amount of ecologic association between species, Ecology 26, 297-302.