International Journal of Computational Intelligence Systems

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Volume 9, Issue 1, January 2016, Pages 133 - 152

Multi-attribute group decision making based on Choquet integral under interval-valued intuitionistic fuzzy environment

Authors
Jindong Qin1, qinjindongseu@126.com, Xinwang Liu1, *, xwliu@seu.edu.cn, Witold Pedrycz2, wpedrycz@ualberta.ca
1School of Economics and Management, Southeast University, Nanjing, 211189, China
2Department of Electrical and Computer Engineering, University of Alberta, Edmonton, T6G 2G7, Canada
*Corresponding author, Email: xwliu@seu.edu.cn (X.Liu).
Corresponding Author
Xinwang Liuxwliu@seu.edu.cn
Received 14 November 2014, Accepted 5 October 2015, Available Online 1 January 2016.
DOI
10.1080/18756891.2016.1146530How to use a DOI?
Keywords
Interval-valued intuitionistic fuzzy Choquet integral; interval-valued intuitionistic fuzzy sets; interval-valued intuitionistic fuzzy measure; multiple attribute group decision making
Abstract

In this paper, we propose new methods to represent interdependence among alternative attributes and experts’ opinions by constructing Choquet integral using interval-valued intuitionistic fuzzy numbers. In the sequel, we apply these methods to solve the multiple attribute group decision-making (MAGDM) problems under interval-valued intuitionistic fuzzy environment. First, the concept of interval-valued intuitionistic fuzzy Choquet integral is defined, and some elementary properties are studied in detail. Next, an axiomatic system of interval-valued intuitionistic fuzzy measure is established by delivering a series of mathematical proofs. Then, with fuzzy entropy and Shapely-values in game theory, we propose the interval-valued intuitionistic fuzzy measure development methods in order to form the importance measure of attributes and correlation measure of the experts, respectively. Based on the results of theoretical analysis, a new method is proposed to handle the interval-valued intuitionistic fuzzy group decision making problems. A numerical example illustrates the procedure of the proposed methods and verifies the validity and effectiveness of our new proposed methods.

Copyright
© 2016. the authors. Co-published by Atlantis Press and Taylor & Francis
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
Next Article In Issue>
Journal
International Journal of Computational Intelligence Systems
Volume-Issue
9 - 1
Pages
133 - 152
Publication Date
2016/01/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.1080/18756891.2016.1146530How to use a DOI?
Copyright
© 2016. the authors. Co-published by Atlantis Press and Taylor & Francis
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  - Jindong Qin
AU  - Xinwang Liu
AU  - Witold Pedrycz
PY  - 2016
DA  - 2016/01/01
TI  - Multi-attribute group decision making based on Choquet integral under interval-valued intuitionistic fuzzy environment
JO  - International Journal of Computational Intelligence Systems
SP  - 133
EP  - 152
VL  - 9
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2016.1146530
DO  - 10.1080/18756891.2016.1146530
ID  - Qin2016
ER  -