广义正交模糊Maclaurin对称平均算子及其应用*

摘要

研究广义正交模糊决策环境下的集结算子及其决策应用.针对在信息集成时,需要考虑多个输入变量之间的相关关系以及专家的评价值为广义正交模糊信息的多属性决策问题,提出一种解决广义正交模糊多属性决策问题的方法.考虑到Maclaurin对称平均算子能够反映多个输入变量之间的相关关系,利用该算子集结广义正交模糊信息,提出了广义正交模糊Maclaurin对称平均算子、广义正交模糊加权Maclaurin对称平均算子,并研究了这些算子的性质和特殊情形.提出了基于广义正交模糊集结算子的多属性决策方法,并通过实例验证了其可行性和优势.%Aggregation operators under a generalized orthopair fuzzy environment with their application to decision making are investigated. For information fusion process in which the interrelationship among multiple input variables should be taken into account and multiple attribute decision making (MADM) problems wherein decision makers’evaluation values are generalized orthopair fuzzy information, a method to deal with generalized orthopair fuzzy MADM problems is proposed. Considering that the Maclaurin symmetric mean operator can reflect the interrelationship among multiple input variables, this paper utilizes it to aggregate generalized orthopair fuzzy information, proposes the generalized orthopair fuzzy Maclaurin symmetric mean operator, the generalized orthopair fuzzy weighted Maclaurin symmetric mean operator, and studies the properties and special cases of these operators. An MADM method is proposed based on generalized orthopair fuzzy aggregation operators, and its effectiveness and superiorities are verified through practical example.