概率对偶犹豫模糊交互融合算子及其在多属性决策中的应用

Probabilistic Dual Hesitant Fuzzy Interaction Aggregation Operators and Their Application to Multi-attribute Decision-making

生产生活实践中的多属性决策问题往往充满了不确定性与模糊性,概率对偶犹豫模糊集作为模糊集的推广能够更全面准确地表达决策者提供的信息。另外,基于融合算子的多属性决策方法是常用的一种模糊决策方法。首先,在融合多个属性下的概率对偶犹豫模糊信息时隶属度与非隶属度会产生相互影响,提出概率对偶犹豫模糊交互运算法则并研究相关性质;其次,给出概率对偶犹豫模糊加权交互平均算子、加权交互几何算子及其性质;然后,建立基于概率对偶犹豫模糊交互融合算子的多属性决策方法;最后,通过一个实例验证提出的决策方法的有效性。

The multi-attribute decision-making problems in production and life are often full of uncertainty and fuzziness.Probabilistic dual hesitant fuzzy set,as an extension of fuzzy set,can express the information provided by decision makers more comprehensively and accurately.In addition,multi-attribute decision-making method based on aggregation operator is a commonly used fuzzy decision-making method.Therefore,considering the interaction between membership degree and non-membership degree when aggregating probabilistic dual hesitancy fuzzy information with multiple attributes,the probabilistic dual hesitancy fuzzy interaction operational rules are proposed and the related properties are studied.Secondly,the probabilistic dual hesitation fuzzy weighted interactive average operator,weighted interactive geometric operator and their properties are given.Then,a multi-attribute decision-making method based on probabilistic dual hesitating fuzzy interactive aggregation operator is established.Finally,an example is given to verify the effectiveness of the proposed decision-making method.