Pythagorean犹豫模糊语言Maclaurin集结算子及其应用

Pythagorean Hesitant Fuzzy Linguistic Maclaurin Aggregation Operator and Its Application

基于Pythagorean犹豫模糊集、直觉模糊语言集和Maclaurin对称平均算子研究了属性间关联关系的Pythagorean犹豫模糊语言多属性决策问题。首先,定义了Pythagorean犹豫模糊语言集,并提出了Pythagorean犹豫模糊语言数的运算法则、得分函数及其精确函数。然后,根据Pythagorean犹豫模糊语言集和Maclaurin对称平均算子提出Pythagorean犹豫模糊语言Maclaurin集结算子。最后,根据Pythagorean犹豫模糊语言Maclaurin集结算子构建能够解决属性之间存在相关关系的多属性决策模型,并通过案例验证了该模型的有效性。

Based on the Pythagorean hesitant fuzzy set, the intuitionistic fuzzy linguistic set and the Maclaurin symmetric mean operator, the Pythagorean hesitant fuzzy linguistic multi-attribute decision making problem with correlation between attributes is studied. Firstly, the Pythagorean hesitant fuzzy linguistic set is defined, and the algorithm of Pythagorean hesitant fuzzy linguistic number, scoring function and its exact function are proposed. Then, according to the Pythagorean hesitant fuzzy linguistic set and the Maclaurin symmetric mean operator, the Pythagorean hesitant fuzzy linguistic Maclaurin aggregation operators are proposed. Finally, the multi-attribute decision-making model which can solve the correlation between attributes is constructed by the Pythagorean hesitant fuzzy linguistic Maclaurin aggregation operators, and the validity of the model is verified by a case.