A New Entropy-based Intuitionistic Fuzzy Multi-attribute Decision Making Method

Lanping Li

doi:doi:10.11648/j.ajam.20160406.13

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A New Entropy-based Intuitionistic Fuzzy Multi-attribute Decision Making Method

Lanping Li

Published in American Journal of Applied Mathematics (Volume 4, Issue 6)

Received: 6 October 2016 Accepted: 14 October 2016 Published: 7 November 2016

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Abstract

The main task of this paper is to develop a new decision making method based on a novel entropy measure of intuitionistic fuzzy sets. First a novel intuitionistic fuzzy entropy is constructed, then based on this information measure, new weighting methods are proposed for the intuitionistic fuzzy decision making problems with the attribute weights are completely unknown or partly known. Further the intuitionistic fuzzy TOPSIS method is developed in this paper, and two examples are given to illustrate effectiveness and practicability of proposed method.

Published in	American Journal of Applied Mathematics (Volume 4, Issue 6)
DOI	10.11648/j.ajam.20160406.13
Page(s)	277-282
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), 2024. Published by Science Publishing Group

Keywords

Intuitionistic Fuzzy Number, Entropy, Multi-Attribute Decision Making, TOPSIS Method

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APA Style

Lanping Li. (2016). A New Entropy-based Intuitionistic Fuzzy Multi-attribute Decision Making Method. American Journal of Applied Mathematics, 4(6), 277-282. https://doi.org/10.11648/j.ajam.20160406.13

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ACS Style

Lanping Li. A New Entropy-based Intuitionistic Fuzzy Multi-attribute Decision Making Method. Am. J. Appl. Math. 2016, 4(6), 277-282. doi: 10.11648/j.ajam.20160406.13

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AMA Style

Lanping Li. A New Entropy-based Intuitionistic Fuzzy Multi-attribute Decision Making Method. Am J Appl Math. 2016;4(6):277-282. doi: 10.11648/j.ajam.20160406.13

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@article{10.11648/j.ajam.20160406.13,
  author = {Lanping Li},
  title = {A New Entropy-based Intuitionistic Fuzzy Multi-attribute Decision Making Method},
  journal = {American Journal of Applied Mathematics},
  volume = {4},
  number = {6},
  pages = {277-282},
  doi = {10.11648/j.ajam.20160406.13},
  url = {https://doi.org/10.11648/j.ajam.20160406.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20160406.13},
  abstract = {The main task of this paper is to develop a new decision making method based on a novel entropy measure of intuitionistic fuzzy sets. First a novel intuitionistic fuzzy entropy is constructed, then based on this information measure, new weighting methods are proposed for the intuitionistic fuzzy decision making problems with the attribute weights are completely unknown or partly known. Further the intuitionistic fuzzy TOPSIS method is developed in this paper, and two examples are given to illustrate effectiveness and practicability of proposed method.},
 year = {2016}
}

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TY  - JOUR
T1  - A New Entropy-based Intuitionistic Fuzzy Multi-attribute Decision Making Method
AU  - Lanping Li
Y1  - 2016/11/07
PY  - 2016
N1  - https://doi.org/10.11648/j.ajam.20160406.13
DO  - 10.11648/j.ajam.20160406.13
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 277
EP  - 282
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20160406.13
AB  - The main task of this paper is to develop a new decision making method based on a novel entropy measure of intuitionistic fuzzy sets. First a novel intuitionistic fuzzy entropy is constructed, then based on this information measure, new weighting methods are proposed for the intuitionistic fuzzy decision making problems with the attribute weights are completely unknown or partly known. Further the intuitionistic fuzzy TOPSIS method is developed in this paper, and two examples are given to illustrate effectiveness and practicability of proposed method.
VL  - 4
IS  - 6
ER  -

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Author Information

Lanping Li

Department of Basic Subjects, Hunan University of Finance and Economics, Changsha, China

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APA Style

Lanping Li. (2016). A New Entropy-based Intuitionistic Fuzzy Multi-attribute Decision Making Method. American Journal of Applied Mathematics, 4(6), 277-282. https://doi.org/10.11648/j.ajam.20160406.13

Copy | Download

ACS Style

Lanping Li. A New Entropy-based Intuitionistic Fuzzy Multi-attribute Decision Making Method. Am. J. Appl. Math. 2016, 4(6), 277-282. doi: 10.11648/j.ajam.20160406.13

Copy | Download

AMA Style

Lanping Li. A New Entropy-based Intuitionistic Fuzzy Multi-attribute Decision Making Method. Am J Appl Math. 2016;4(6):277-282. doi: 10.11648/j.ajam.20160406.13

Copy | Download

@article{10.11648/j.ajam.20160406.13,
  author = {Lanping Li},
  title = {A New Entropy-based Intuitionistic Fuzzy Multi-attribute Decision Making Method},
  journal = {American Journal of Applied Mathematics},
  volume = {4},
  number = {6},
  pages = {277-282},
  doi = {10.11648/j.ajam.20160406.13},
  url = {https://doi.org/10.11648/j.ajam.20160406.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20160406.13},
  abstract = {The main task of this paper is to develop a new decision making method based on a novel entropy measure of intuitionistic fuzzy sets. First a novel intuitionistic fuzzy entropy is constructed, then based on this information measure, new weighting methods are proposed for the intuitionistic fuzzy decision making problems with the attribute weights are completely unknown or partly known. Further the intuitionistic fuzzy TOPSIS method is developed in this paper, and two examples are given to illustrate effectiveness and practicability of proposed method.},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - A New Entropy-based Intuitionistic Fuzzy Multi-attribute Decision Making Method
AU  - Lanping Li
Y1  - 2016/11/07
PY  - 2016
N1  - https://doi.org/10.11648/j.ajam.20160406.13
DO  - 10.11648/j.ajam.20160406.13
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 277
EP  - 282
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20160406.13
AB  - The main task of this paper is to develop a new decision making method based on a novel entropy measure of intuitionistic fuzzy sets. First a novel intuitionistic fuzzy entropy is constructed, then based on this information measure, new weighting methods are proposed for the intuitionistic fuzzy decision making problems with the attribute weights are completely unknown or partly known. Further the intuitionistic fuzzy TOPSIS method is developed in this paper, and two examples are given to illustrate effectiveness and practicability of proposed method.
VL  - 4
IS  - 6
ER  -

Copy | Download