International Journal of Computational Intelligence Systems

Volume 7, Issue 3, June 2014, Pages 524 - 542

Induced Atanassov's interval-valued intuitionistic fuzzy hybrid Choquet integral operators and their application in decision making

Authors
Fanyong Meng, Hao Cheng, Qiang Zhang
Corresponding Author
Fanyong Meng
Received 27 August 2012, Accepted 26 February 2013, Available Online 1 June 2014.
DOI
https://doi.org/10.1080/18756891.2013.865402How to use a DOI?
Keywords
Multi-attribute decision making, Atanassov's interval-valued intuitionistic fuzzy set, Choquet integral, Generalized Shapley function
Abstract
Based on the Choquet integral and the generalized Shapley function, two new induced Atanassov's interval-valued intuitionistic fuzzy hybrid aggregation operators are defined, which are named as the induced generalized Shapley Atanassov's interval-valued intuitionistic fuzzy hybrid Choquet arithmetical averaging (IGS-IVIFHCAA) operator and the induced generalized Shapley Atanassov's interval-valued intuitionistic fuzzy hybrid Choquet geometric mean (IGS-IVIFHCGM) operator. These operators do not only globally consider the importance of elements and their ordered positions, but also overall reflect the correlations among them and their ordered positions. Meantime, some important cases are examined, and some desirable properties are studied. Furthermore, if the information about the weighting vectors is incompletely known, the models for the optimal λ–fuzzy measures on attribute set and ordered set are established, respectively. Moreover, an approach to multi-attribute decision making under Atanassov's interval-valued intuitionistic fuzzy environment is developed. Finally, a numerical example is provided to illustrate the proposed procedure.
Open Access
This is an open access article distributed under the CC BY-NC license.

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
7 - 3
Pages
524 - 542
Publication Date
2014/06
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
https://doi.org/10.1080/18756891.2013.865402How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Fanyong Meng
AU  - Hao Cheng
AU  - Qiang Zhang
PY  - 2014
DA  - 2014/06
TI  - Induced Atanassov's interval-valued intuitionistic fuzzy hybrid Choquet integral operators and their application in decision making
JO  - International Journal of Computational Intelligence Systems
SP  - 524
EP  - 542
VL  - 7
IS  - 3
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2013.865402
DO  - https://doi.org/10.1080/18756891.2013.865402
ID  - Meng2014
ER  -