We study a multi-criteria fuzzy decision-making method based on weighted triangular intuitionistic fuzzy number correlation coefficients. Under the scenario that criteria weights for alternatives are completely unknow...We study a multi-criteria fuzzy decision-making method based on weighted triangular intuitionistic fuzzy number correlation coefficients. Under the scenario that criteria weights for alternatives are completely unknown, triangular intuitionistic fuzzy method can not only supplement the insufficiency of the method based on the distance but also endow more information to the estimation and reduce the loss of evaluation information.Among the triangular numbers, two boundary numbers are the maximum and minimum values of the interval respectively, and the medium number is the most possible value under subjective estimation. Using this method,we propose a new way to obtain the criteria weights with more information quantity. By ranking the relative closeness of the weighted correlation coefficients between each alternative, and the critical and ideal alternatives,we show the method to figure out the most suitable alternative based on the expected criteria. An illustrative example is also taken into account to prove the effectiveness of the model.展开更多
In this paper, a necessary condition for a maximal triangular algebra to be closed is given. A necessary and sufficient condition for a maximal triangular algebra to be strongly reducible is obtained.
针对现有方法存在的区分度不高、运行时间代价过高等问题,提出一种云模型相似性度量方法。首先采用云模型的扩展模型三角云模型作为研究对象,将三角云模型看作对称三角模糊数,根据EW-型距离公式引入指数贴近度概念,并用其表征云模型的...针对现有方法存在的区分度不高、运行时间代价过高等问题,提出一种云模型相似性度量方法。首先采用云模型的扩展模型三角云模型作为研究对象,将三角云模型看作对称三角模糊数,根据EW-型距离公式引入指数贴近度概念,并用其表征云模型的距离相似度;然后通过云模型云滴的方差,计算出云模型的形状相似度;最后将云模型的距离与形状相似度综合起来,共同衡量两云模型的相似度。从仿真实验可以看出,该方法有较高的区分度;对Synthetic control chart data数据集进行的分类实验表明,该方法具有较好的分类精度及较小的运行时间代价。展开更多
基金the National Natural Science Foundation of China(Nos.71671016,71231001 and 71832001)the Fundamental Research Funds for the Central Universities of China(No.FRF-BR-15-001B)
文摘We study a multi-criteria fuzzy decision-making method based on weighted triangular intuitionistic fuzzy number correlation coefficients. Under the scenario that criteria weights for alternatives are completely unknown, triangular intuitionistic fuzzy method can not only supplement the insufficiency of the method based on the distance but also endow more information to the estimation and reduce the loss of evaluation information.Among the triangular numbers, two boundary numbers are the maximum and minimum values of the interval respectively, and the medium number is the most possible value under subjective estimation. Using this method,we propose a new way to obtain the criteria weights with more information quantity. By ranking the relative closeness of the weighted correlation coefficients between each alternative, and the critical and ideal alternatives,we show the method to figure out the most suitable alternative based on the expected criteria. An illustrative example is also taken into account to prove the effectiveness of the model.
文摘In this paper, a necessary condition for a maximal triangular algebra to be closed is given. A necessary and sufficient condition for a maximal triangular algebra to be strongly reducible is obtained.
文摘针对现有方法存在的区分度不高、运行时间代价过高等问题,提出一种云模型相似性度量方法。首先采用云模型的扩展模型三角云模型作为研究对象,将三角云模型看作对称三角模糊数,根据EW-型距离公式引入指数贴近度概念,并用其表征云模型的距离相似度;然后通过云模型云滴的方差,计算出云模型的形状相似度;最后将云模型的距离与形状相似度综合起来,共同衡量两云模型的相似度。从仿真实验可以看出,该方法有较高的区分度;对Synthetic control chart data数据集进行的分类实验表明,该方法具有较好的分类精度及较小的运行时间代价。
