Abstract

运用单位区间上的自同构构造一种适用于勾股模糊环境下的同构Frank t-模与其对偶s-模, 进而定义勾股模糊集的广义运算法则, 并探究新法则的相关性质.应用新的运算法则提出勾股模糊Frank加权平均(PFFWA)算子与勾股模糊Frank加权几何(PFFWG)算子, 证明算子的相关性质.利用PFFWA与PFFWG算子提出一种解决勾股模糊多属性决策问题的新方法.通过解决航空公司服务质量评估问题, 对比分析新方法与现存的决策方法, 进而表明新方法的可行性和灵活性, 并验证了新方法具有反馈决策者态度特征的能力.

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