【摘要】 研究了勾股模糊数信息环境下属性值间存在内在关联性的多属性决策问题。首先定义了基于t-模和t-余模的勾股模糊数运算;将Heronian平均融入到聚合算子的构建过程中;讨论了勾股模糊Heronian平均算法的3个特征性质和经常使用的特例。然后构建了改进的勾股模糊决策模型,该模型在考虑输入属性值之间关联性的同时,提高了决策的使用范围。最后通过多属性决策实例验证了改进的决策模型合理有效。更多还原

【Abstract】 The multi-attribute decision making problem in the relationship between attribute values under Pythagorean fuzzy number information environment is researched. Firstly,the Pythagorean fuzzy number operations based on t-norm and t-conorm are defined. Then,the Heronian mean is integrated into the construction process of aggregation operator. The three characteristic properties of Pythagorean fuzzy Heronian mean(PFHM) and its commonly used special cases are also discussed. In addition,a new improved Pythagorean fuzzy decision making model is constructed,which considers the relationship between input attribute values and improves the scope of decision-making. Finally,an example of multiattribute decision making is provided to verify the rationality and effectiveness of the proposed model.更多还原