Journal of Computer Applications ›› 2016, Vol. 36 ›› Issue (9): 2535-2539.

### Type-2 fuzzy multiple attribute decision-making method based on entropy and risk attitude

1. 1. Department of Foundation, Anhui Sanlian University, Hefei Anhui 230601, China;
2. School of Economics and Management, Southeast University, Nanjing Jiangsu 211189, China;
3. School of Mathematical Science, Anhui University, Hefei Anhui 230601, China
• Received:2016-02-26 Revised:2016-04-11 Online:2016-09-10 Published:2016-09-08
• Supported by:
This work is partially supported by the National Natural Science Foundation of China (71473036) and the Provincial Nature Science Research Key Project for Colleges and Universities of Anhui Province (KJ2016A250), the Natural Science Key Project of Anhui Sanlian University (kjzd2016001).

### 基于熵和风险态度的二型模糊多属性决策方法

1. 1. 安徽三联学院 基础部, 合肥 230601;
2. 东南大学 经济管理学院, 南京 211189;
3. 安徽大学 数学科学学院, 合肥 230601
• 通讯作者: 王翠翠
• 作者简介:王翠翠(1989-),女,安徽宿州人,助教,硕士,主要研究方向:二型模糊理论与应用;姚登宝(1987-),男,安徽合肥人,博士研究生,主要研究方向:金融工程与风险管理;李宝萍(1976-),女,安徽巢湖人,副教授,硕士,主要研究方向:模糊决策。
• 基金资助:
国家自然科学基金面上项目（71473036）；安徽省高等学校省级自然科学研究重点项目（KJ2016A250）；安徽三联学院校级自然科学重点项目（kjzd2016001）。

Abstract: In order to deal with the type-2 fuzzy decision-making problem that the attribute weights are unknown, a decision-making method based on type-2 fuzzy entropy and decision-maker's risk attitude was proposed. Firstly, the axiomatic principles of type-2 fuzzy entropy were constructed by introducing fuzzy factor and hesitancy factor to measure the uncertainty of Type-2 Fuzzy Set (T2FS), and some formulas were also given based on different distance measures. Secondly, in order to decrease effects of decision results caused by uncertain information, a non-linear programming model combined with type-2 fuzzy entropy was constructed to determine the attribute weights. Meanwhile, a score function was proposed by considering decision-maker's risk attitude and the specific decision-making processes were also given. Finally, the feasibility of the proposed method was verified through an example analysis, and the flexibility of the proposed method was also been reflected by comparing with existed references.

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