International Journal of Computational Intelligence Systems

Volume 10, Issue 1, 2017, Pages 120 - 139

Linguistic hesitant intuitionistic fuzzy cross-entropy measures

Authors
Wei Yang*, Yongfeng Pang, Jiarong Shi
*Corresponding author. E-mail: yangweipyf@163.com.
Corresponding Author
Wei Yang
Received 19 November 2015, Accepted 10 September 2016, Available Online 1 January 2017.
DOI
10.2991/ijcis.2017.10.1.9How to use a DOI?
Keywords
Hesitant fuzzy set; intuitionisic fuzzy set; linguistic argument; aggregation operator; linguistic hesitant intuitionistic fuzzy cross-entropy
Abstract

In this paper, several cross-entropy measures for linguistic hesitant intuitionistic fuzzy information have been developed which integrating cross-entropy measures of intuitionistic fuzzy sets and hesitant fuzzy linguistic sets. Some desirable properties of new cross-entropy measures have been studied. Two new multiple attribute decision making methods have been presented based on the new cross-entropy measures in which attribute values are given in the form of linguistic hesitant intuitionistic fuzzy values to reflect human hesitantation and fuzzy thinking comprehensively. We consider different attribute weight situations including attribute weights are completely known, partly known and completely unknown. An optimization model is established to determine attribute weights if they are partly known and a formula is given if attribute weights are completely unknown. Finally, a numerical example is presented to illustrate practical advantages and effectiveness of the proposed approaches.

Copyright
© 2017, 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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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
10 - 1
Pages
120 - 139
Publication Date
2017/01/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.2017.10.1.9How to use a DOI?
Copyright
© 2017, 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

TY  - JOUR
AU  - Wei Yang
AU  - Yongfeng Pang
AU  - Jiarong Shi
PY  - 2017
DA  - 2017/01/01
TI  - Linguistic hesitant intuitionistic fuzzy cross-entropy measures
JO  - International Journal of Computational Intelligence Systems
SP  - 120
EP  - 139
VL  - 10
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.2017.10.1.9
DO  - 10.2991/ijcis.2017.10.1.9
ID  - Yang2017
ER  -