期刊
INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS
卷 9, 期 1, 页码 133-152出版社
ATLANTIS PRESS
DOI: 10.1080/18756891.2016.1146530
关键词
Interval-valued intuitionistic fuzzy Choquet integral; interval-valued intuitionistic fuzzy sets; interval-valued intuitionistic fuzzy measure; multiple attribute group decision making
资金
- National Natural Science Foundation of China (NSFC) [71171048, 71371049]
- Ph.D. Program Foundation of Chinese Ministry of Education [20120092110038]
- Scientific Research and Innovation Project for College Graduates of Jiangsu Province [CXZZ13_0138]
- Scientific Research Foundation of Graduate School of Southeast University [YBJJ1454]
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.
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