International Journal of Computational Intelligence Systems

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Volume 11, Issue 1, 2018, Pages 45 - 57

Entropy Measures of Probabilistic Linguistic Term Sets

Authors
Hongbin Liu1, lhbnwpu@hotmail.com, Le Jiang2, jlmath@126.com, Zeshui Xu3, xuzeshui@263.net
1School of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou, Henan 450046, China
2School of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, Henan 450000, China
3Business School, Sichuan University, Chengdu, Sichuan 610064, China.
*Corresponding author.
Received 11 May 2017, Accepted 14 September 2017, Available Online 1 January 2018.
DOI
10.2991/ijcis.11.1.4How to use a DOI?
Keywords
Probabilistic linguistic term set; fuzzy entropy; hesitant entropy; total entropy
Abstract

The probabilistic linguistic term sets (PLTSs) are powerful to deal with the hesitant linguistic situation in which each provided linguistic term has a probability. The PLTSs contain uncertainties caused by the linguistic terms and their probability information. In order to measure such uncertainties, three entropy measures are proposed: the fuzzy entropy, the hesitant entropy, and the total entropy. The fuzzy entropy measures the fuzziness of the PLTSs, and the hesitant entropy measures the hesitation of the PLTSs. To facilitate the computation of all uncertainties contained in the PLTSs, the total entropy is proposed. Some properties and some formulas of the entropy measures are introduced. A multi-criteria decision making model based on the PLTSs is introduced by using the proposed entropy measures. An illustrative example is provided and the comparison analysis with the existing method is given.

Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

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<Previous Article In Issue
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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
11 - 1
Pages
45 - 57
Publication Date
2018/01/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.11.1.4How to use a DOI?
Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Hongbin Liu
AU  - Le Jiang
AU  - Zeshui Xu
PY  - 2018
DA  - 2018/01/01
TI  - Entropy Measures of Probabilistic Linguistic Term Sets
JO  - International Journal of Computational Intelligence Systems
SP  - 45
EP  - 57
VL  - 11
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.11.1.4
DO  - 10.2991/ijcis.11.1.4
ID  - Liu2018
ER  -