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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,创新性的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,创新性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,并以算例证明了本文方法的可行性和有效性。
By analyzing the complexity of data objects in real life and hesitant fuzziness of decision makers’ thinking, a heuristic intuitionistic fuzzy set decision-making method based on triangular fuzzy numbers is creatively proposed. First, the definition of triangular fuzzy hesitation intuitionistic fuzzy sets is given, and the basic algorithms and integrated operators of triangular hesitory intuitionistic fuzzy elements and fuzzy numbers are constructed and proved. Secondly, through the definition of the scoring function and the exact function of the triangular hesitory intuitionistic fuzzy element, the comparison of the values between the objects under the triangular hesitory intuitionistic fuzzy number is realized. According to the uncertainty of the multi-attribute decision making under the triangular hesitory intuitionistic fuzzy number Aiming at solving the problem of weight, an optimal weight solving model based on score function and maximum entropy theory is proposed creatively, and the genetic algorithm model is constructed to implement optimal solution. Finally, a multi-attribute intelligent decision-making algorithm under triangular indecision indefinite intuitionistic fuzzy numbers is given, and an example is given to demonstrate the feasibility and effectiveness of the proposed method.