系统工程与电子技术

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基于三角模糊数犹豫直觉模糊集的多属性智能决策

谭旭1,2, 吴俊江1, 毛太田1, 谭跃进3   

  1. 1. 湘潭大学公共管理学院, 湖南 湘潭 411005; 2. 深圳信息职业技术学院软件学院, 广东 深圳 518172; 3. 国防科学技术大学信息系统与管理学院, 湖南 长沙 410073
  • 出版日期:2017-03-23 发布日期:2010-01-03

Multi-attribute intelligent decision making method based on triangular fuzzy number hesitant intuitionistic fuzzy sets

TAN XU1,2, WU Junjiang1, MAO Taitian1, TAN Yuejin3   

  1. 1. School of Public Management, Xiangtan University, Xiangtan 411005, China; 2. School of Software Engineering, Shenzhen Institute of Information Technology, Shenzhen 518172, China; 3. School of Information Systems & Management, National University of Defense Technology, Changsha 410073, China
  • Online:2017-03-23 Published:2010-01-03

摘要:

通过剖析现实生活中数据对象复杂性以及决策人思考的犹豫模糊性,提出了基于三角模糊数的犹豫直觉模糊集决策方法。首先,给出了三角模糊数犹豫直觉模糊集的定义,构建并证明了三角犹豫直觉模糊元及模糊数的基本运算法则和集成算子。其次,通过对三角犹豫直觉模糊元的得分函数和精确函数的定义,实现了三角犹豫直觉模糊数下的对象间的取值比较,针对三角犹豫直觉模糊数下多属性决策分析中的不确定性权重求解难题,提出了一种基于得分函数和最大熵理论的最优权重求解模型,并构建遗传算法模型实施最优化求解。最后,给出了三角犹豫直觉模糊数下的多属性智能决策算法,并以算例证明了所提方法的可行性和有效性。

Abstract:

By analyzing complexities of realistic data objects and the hesitate fuzziness in decision maker’s thinking, a hesitant intuitionistic fuzzy sets decisionmaking method based on triangular fuzzy number is proposed. Firstly, triangular fuzzy number hesitant intuitionistic fuzzy sets are defined. Also, some basic operation rules and aggregation operators of triangular hesitant intuitionistic fuzzy elements are constructed under formal proofs. Furthermore, the score function and the accuracy function of triangular hesitant intuitionistic fuzzy elements are defined to realize the data comparison between objects of triangular hesitant intuitionistic fuzzy number. Aiming at the uncertainty weight solving problem of multi-attribute decision making based on triangular hesitant intuitionistic fuzzy numbers, an optimal weight solving model based on the score function and maximum entropy (ME) principle is innovatively proposed, and a genetic algorithm (GA) model is constructed to get the optimal solution. Finally, a multi-attribute intel ligent decisionmaking method based on triangular hesitant intuitionistic fuzzy number is presented. The example demonstrates the feasibility and effectiveness of the proposed method.