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中文摘要：
针对不同直觉模糊集的隶属度与非隶属度可能存在交叉影响，提出广义直觉模糊加权交叉影响平均（GIFWIA）算子，推导出其数学表达式，研究该算子的性质，并探讨了基于GIFWIA算子的多属性决策方法．通过实例表明了所提出广义算子在决策应用中的有效性，并分析了不同参数λ对决策的影响．通过灵敏度和相关比较分析，解释了交叉影响对决策结果的影响，表明了所提出广义算子的稳定性．
英文摘要：
The generalized intuitionistic fuzzy weighted interaction average operators are proposed based on the interactions between the membership function and the non-membership function of different intuitionistic fuzzy sets. The concrete expressions of these operators are obtained by derivation and some properties of these operators are investigated. A multi- attribute decision making method based on the proposed operators is investigated. An example shows the feasibility and validity of the proposed operator in the application of decision making problems and the influence of different parameters λ on decision making is analyzed. The influences of interactions on decision results are interpreted and the stability of the proposed generalized operators are illustrated by sensitivity and other corresponding analysis.
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