Abstract:

In order to study the correlation of different probability multi-valued neutrosophic set, the correlation coefficient of probability multi-valued neutrosophic set is proposed. The expected correlation coefficient, accuracy correlation coefficient and information completeness correlation coefficient of probability multi-valued neutrosophic set are proposed, in order to measure the correlation between the average degree, accuracy and information completeness of different probability multi-valued neutrosophic sets. In order to measure the overall correlation of different probability multi-valued neutrosophic sets, based on the idea of weighted average operator and three kinds of correlation coefficients, the comprehensive correlation coefficients of probability multi-valued neutrosophy set containing parameters is defined, and the proposition of the correlation coefficient is given. Considering the importance of weights, a series of weighted correlation coefficients of probability multi-valued neutrosophic set are proposed. A multi-attribute decision-making model that can effectively determine the parameters and is suitable for the weights of attribute which are known, based on weighted correlation coefficient of probability multi-valued neutrosophic set, and through specific cases and comparative analysis to verify the effectiveness and rationality of the model.

Key words: probability multi-valued neutrosophic set, correlation coefficient, parameter, multi-attribute group decision making

摘要：

为了研究不同概率多值中智集的相关关系，提出了概率多值中智集的关联系数。提出了概率多值中智集的期望关联系数、精确度关联系数和信息完全度关联系数，以便测量不同概率多值中智集在平均程度、精确程度和信息完全度之间的相关关系。为了测量不同概率多值中智集的整体相关关系，基于三种关联系数和加权平均算子的思想定义了包含参数的概率多值中智集的综合关联系数，并且给出了关联系数的性质。考虑到权重的重要性，提出了概率多值中智集的一系列加权关联系数。基于概率多值中智集的加权关联系数构建一种可以有效地确定参数且适用于属性权重已知的多属性决策模型，并通过具体案例和对比分析验证该模型的有效性和合理性。

关键词: 概率多值中智集, 关联系数, 参数, 多属性决策