关键词: 广义正交模糊集, 广义正交模糊Maclaurin对称平均算子, 多属性决策

Abstract: 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.

Key words: generalized orthopair fuzzy sets, generalized orthopair fuzzy Maclaurin symmetric mean operator, multiple attribute decision making