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三角模糊数直觉模糊Bonferroni平均算子及其应用 被引量:10

Triangular fuzzy number intuitionistic fuzzy Bonferroni means operator and its application
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摘要 针对决策信息为三角模糊数直觉模糊数(TFNIFN)且属性间存在相互关联的多属性群决策(MAGDM)问题,提出了一种基于三角模糊数直觉模糊加权Bonferroni平均(TFNIFWBM)算子的决策方法。首先,基于TFNIFN的运算法则和Bonferroni平均(BM)算子,定义了三角模糊数直觉模糊BM算子和TFNIFWBM算子;然后,研究了这些算子的一些性质,建立基于TFNIFWBM算子的MAGDM模型,结合排序方法进行决策。最后通过MAGDM算例验证了该算子的有效性与可行性。 With respect to the problems of multiple attribute group decision-making (MAGDM) in which the attribute values were in the form of triangular fuzzy number intuitionistic fuzzy numbers (TFNIFN) and attributes were associated with each other, this paper presented a method based on triangular fuzzy number intuitionistic fuzzy weighted Bonferroni means ( TFNIFWBM) operator. Firstly, according to the TFNIFN' s operational laws and Bonferroni means (BM) operator, this method defined triangular fuzzy number intuitionistic fuzzy Bonferroni means (TFNIFBM) operator and TFNIFWBM operator. Then, it researched the related properties, constructed a multi-attribute group decision making model based on TFNIFWBM operator, which was for making decisions combining with sort methods. Finally, this paper gave an illustrative example of MAGDM problems to demonstrate the effectiveness and feasibility of the proposed operator.
出处 《计算机应用研究》 CSCD 北大核心 2015年第2期434-438,共5页 Application Research of Computers
关键词 三角模糊数直觉模糊数 三角模糊数直觉模糊Bonferroni平均算子 三角模糊数直觉模糊加权Bonferroni平均算子 多属性群决策 triangular fuzzy number intuitionistic fuzzy number triangular fuzzy number intuitionistic fuzzy Bonferroni means operator triangular fuzzy number intuitionistic fuzzy weighted Bonferroni means operator multi-attribute group decision ma- king
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