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中文摘要：
考虑到不同直觉模糊集的隶属度与非隶属度之间可能存在着某些关联和相互影响,本文将Power算子推广到直觉模糊环境中,提出了直觉模糊Power几何交叉影响平均算子和直觉模糊Power算术交叉影响平均算子,研究了其性质并做了比较分析。通过实例,说明了新的集成算子在群决策应用中的有效性。最后将本文提出的算子与现存的直觉模糊Power几何平均算子做了稳定性比较。
英文摘要：
This paper generalizes the power operator to intuitionistic fuzzy environment and presents the intuitionistic fuzzy power geometric interaction average operator and the intuitionistic fuzzy power arithmetic interaction average operator with the consideration of the interactions between membership function and non-membership function of different intuitionistic fuzzy sets. We investigate the properties of the operators and give the discussion of their similarity and difference. An example is illustrated to show the feasibility and validity of the new operator in the application of group decision making problems. Finally, we make a comparison between the proposed operators and the corresponding existing one on stability.
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