A Hesitant Fuzzy Based Medical Diagnosis Problem

Bahram Farhadinia

doi:doi:10.11648/j.ijdst.20170301.11

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A Hesitant Fuzzy Based Medical Diagnosis Problem

Bahram Farhadinia

Published in International Journal on Data Science and Technology (Volume 3, Issue 1)

Received: 5 February 2017 Accepted: 19 March 2017 Published: 18 April 2017

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Abstract

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.

Published in	International Journal on Data Science and Technology (Volume 3, Issue 1)
DOI	10.11648/j.ijdst.20170301.11
Page(s)	1-7
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Weighted Hesitant Fuzzy Set, Correlation Measure, Medical Diagnosis Problem

References

[1]	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.
[2]	Torra V. (2010), Hesitant fuzzy sets, International Journal of Intelligent Systems 25, 529-539.
[3]	Farhadinia B. (2014a), Correlation for dual hesitant fuzzy sets and dual interval-valued hesitant fuzzy sets, International Journal of Intelligent Systems 29, 184-205.
[4]	Farhadinia B. (2014b), Distance and similarity measures for higher order hesitant fuzzy sets, Knowledge-Based Systems 55, 43-48.
[5]	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.
[6]	Farhadinia B. (2013b), Information measures for hesitant fuzzy sets and interval-valued hesitant fuzzy sets, Information Sciences 240, 129-144.
[7]	Farhadinia B. (2014e), An efficient similarity measure for intuitionistic fuzzy sets, Soft Computing 18, 85-94.
[8]	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.
[9]	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.
[10]	Xia M., Xu Z. (2011), Hesitant fuzzy information aggregation in decision making, International Journal of Approximate Reasoning 52, 395-407.
[11]	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.
[12]	Dice L. R. (1945), Measures of the amount of ecologic association between species, Ecology 26, 297-302.

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APA Style

Bahram Farhadinia. (2017). A Hesitant Fuzzy Based Medical Diagnosis Problem. International Journal on Data Science and Technology, 3(1), 1-7. https://doi.org/10.11648/j.ijdst.20170301.11

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ACS Style

Bahram Farhadinia. A Hesitant Fuzzy Based Medical Diagnosis Problem. Int. J. Data Sci. Technol. 2017, 3(1), 1-7. doi: 10.11648/j.ijdst.20170301.11

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AMA Style

Bahram Farhadinia. A Hesitant Fuzzy Based Medical Diagnosis Problem. Int J Data Sci Technol. 2017;3(1):1-7. doi: 10.11648/j.ijdst.20170301.11

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@article{10.11648/j.ijdst.20170301.11,
  author = {Bahram Farhadinia},
  title = {A Hesitant Fuzzy Based Medical Diagnosis Problem},
  journal = {International Journal on Data Science and Technology},
  volume = {3},
  number = {1},
  pages = {1-7},
  doi = {10.11648/j.ijdst.20170301.11},
  url = {https://doi.org/10.11648/j.ijdst.20170301.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijdst.20170301.11},
  abstract = {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.},
 year = {2017}
}

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TY  - JOUR
T1  - A Hesitant Fuzzy Based Medical Diagnosis Problem
AU  - Bahram Farhadinia
Y1  - 2017/04/18
PY  - 2017
N1  - https://doi.org/10.11648/j.ijdst.20170301.11
DO  - 10.11648/j.ijdst.20170301.11
T2  - International Journal on Data Science and Technology
JF  - International Journal on Data Science and Technology
JO  - International Journal on Data Science and Technology
SP  - 1
EP  - 7
PB  - Science Publishing Group
SN  - 2472-2235
UR  - https://doi.org/10.11648/j.ijdst.20170301.11
AB  - 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.
VL  - 3
IS  - 1
ER  -

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Author Information

Bahram Farhadinia

Department of Mathematics, Quchan University of Advanced Technology, Quchan, Iran

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Plain Text BibTeX RIS

APA Style

Bahram Farhadinia. (2017). A Hesitant Fuzzy Based Medical Diagnosis Problem. International Journal on Data Science and Technology, 3(1), 1-7. https://doi.org/10.11648/j.ijdst.20170301.11

Copy | Download

ACS Style

Bahram Farhadinia. A Hesitant Fuzzy Based Medical Diagnosis Problem. Int. J. Data Sci. Technol. 2017, 3(1), 1-7. doi: 10.11648/j.ijdst.20170301.11

Copy | Download

AMA Style

Bahram Farhadinia. A Hesitant Fuzzy Based Medical Diagnosis Problem. Int J Data Sci Technol. 2017;3(1):1-7. doi: 10.11648/j.ijdst.20170301.11

Copy | Download

@article{10.11648/j.ijdst.20170301.11,
  author = {Bahram Farhadinia},
  title = {A Hesitant Fuzzy Based Medical Diagnosis Problem},
  journal = {International Journal on Data Science and Technology},
  volume = {3},
  number = {1},
  pages = {1-7},
  doi = {10.11648/j.ijdst.20170301.11},
  url = {https://doi.org/10.11648/j.ijdst.20170301.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijdst.20170301.11},
  abstract = {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.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - A Hesitant Fuzzy Based Medical Diagnosis Problem
AU  - Bahram Farhadinia
Y1  - 2017/04/18
PY  - 2017
N1  - https://doi.org/10.11648/j.ijdst.20170301.11
DO  - 10.11648/j.ijdst.20170301.11
T2  - International Journal on Data Science and Technology
JF  - International Journal on Data Science and Technology
JO  - International Journal on Data Science and Technology
SP  - 1
EP  - 7
PB  - Science Publishing Group
SN  - 2472-2235
UR  - https://doi.org/10.11648/j.ijdst.20170301.11
AB  - 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.
VL  - 3
IS  - 1
ER  -

Copy | Download