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Get Free AccessIn 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.
Jindong Qin, Xinwang Liu, Witold Pedrycz (2016). Multi-attribute group decision making based on Choquet integral under interval-valued intuitionistic fuzzy environment. , 9(1), DOI: https://doi.org/10.1080/18756891.2016.1146530.
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Type
Article
Year
2016
Authors
3
Datasets
0
Total Files
0
Language
en
DOI
https://doi.org/10.1080/18756891.2016.1146530
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