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