基于单值中智决策算法的金融产品评价模型

Financial Product Evaluation Model Based on the Single-valued Neutrosophic Decision-making Algorithm

借助于偏好关系和单值中智集的优点,首先引入单值中智偏好关系来处理评价过程中的不精确和不一致信息,并运用模糊判断矩阵的乘性一致性,给出了单值中智偏好关系的乘性一致性概念;其次,探究了一种单值中智偏好关系的设计方法,使得其拥有完全乘性一致性,并建立了一种新型一致性局部调整算法,同时证明算法的收敛性;最后,结合余弦相似度,设计了基于单值中智偏好关系一致性调整算法的金融产品评价模型,并通过金融产品选择实例说明该模型的可靠性。

Considering the advantages of preference relation and single-valued neutrosophic set, the definition of single-valued neutrosophic preference relation is introduced to cope with inaccurate and inconsistent information firstly, and the multiplicative consistency of single-valued neutrosophic preference relation is defined by using the multiplicative consistency of fuzzy preference relation. Secondly, the construction method of single-valued neutrosophic preference relation with complete multiplicative consistency is proposed, and a convergent local adjustment algorithm of the consistency for single-valued neutrosophic preference relation is established. Finally, combining the cosine similarity, a financial product evaluation model is designed based on the consistency improvement algorithm for single-valued neutrosophic preference relations, and the reliability of the model is illustrated by an example of financial product selection.