Hesitant Fuzzy Graph and Its Application to Multi-attribute Decision Making
ZHANG Chao, LI Deyu
1.Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education,School of Computer and Information Technology, Shanxi University, Taiyuan 030006
Abstract As an effective tool for describing indecisiveness quantitatively, hesitant fuzzy sets deal with the hesitation and the fuzziness in uncertain information simultaneously to solve multi-attribute decision making problems under the background of indecisiveness. Aiming at multi-attribute decision making problems with hesitant fuzzy attribute values, the related model and the multi-attribute decision making approach based on the fuzzy graph theory are studied. Firstly, the concept of hesitant fuzzy graph and some common operational laws are presented. Then, a general hesitant fuzzy graph-based multi-attribute decision making method is established. Finally, an illustrative example and the comparative analysis are conducted to verify the feasibility of the proposed method.
Fund:Supported by National Natural Science Foundation of China(No.61672331,61573231,61432011,U1435212,61303107,61272095), Natural Science Foundation of Shanxi Province(No.201601D021076,201601D021072,2015021101,2015091001-0102)
About author:: 张 超,男,1989年生,博士,讲师,主要研究方向为智能优化计算、粒计算.E-mail:zhch3276152@163.com. 李德玉(通讯作者),男,1965年生,博士,教授,主要研究方向为粒计算、机器学习.E-mail:lidysxu@163.com.
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2017, Vol. 30 
