基于加性一致的直觉模糊偏好关系一致性检验与调整新方法

A Novel Method for Checking and Improving the Additive Consistency of Intuitionistic Fuzzy Preference Relations

本文研究了基于直觉模糊偏好关系的决策问题,提出了一种新的基于加性一致的直觉模糊偏好关系决策方法。首先,基于加性一致的直觉模糊偏好关系,提出了一种新的检验指标。在此基础上,给出了直觉模糊偏好关系可接受加性一致性定义。然后,针对不满足可接受加性一致的直觉模糊偏好关系,设计了一种一致性调整新方法,并证明了方法的收敛性。最后,提出了一种基于直觉模糊偏好关系的决策方法,并通过实例分析和比较分析说明了新方法的可行性和合理性。

This paper investigates the decision making problems with intuitionistic fuzzy preference relations and proposes a new method based on the intuitionistic fuzzy preference relations with the additive consistency.First,a novel index is put forward to check the additive consistency of an intuitionistic preference relations.Then,an acceptable additive consistency of intuitionistic fuzzy relations is defined.For the intuitionistic fuzzy relations with unacceptable additive consistency,a new iterative algorithm is devised to improve the consistency of them.Furthermore,the convergence of devised algorithms is proved.Finally,a new decision method is proposed to solve problems with intuitionistic fuzzy preference relations.At length,an example and a comparison analysis are provided to illustrate the validity and rationality of the proposed method.