加性一致性驱动的勾股模糊偏好决策方法

Decision Making with Pythagorean Fuzzy Preference Relations Driven by Additive Consistency

为进一步完善和发展传统偏好决策理论,在直觉模糊偏好关系加性一致性概念的启发下,构建了两个可与勾股模糊偏好关系(Pythagorean fuzzy preference relations, PFPRs)相互转化的传统模糊偏好关系,并在此基础上定义了PFPRs的加性一致性测度,设计了加性一致性驱动的勾股模糊偏好决策方法,通过具体实例对所提勾股模糊偏好决策方法的有效性和合理性进行了数值验证。理论分析和数值验证结果表明,所提加性一致性驱动的勾股模糊偏好决策方法具有结构清晰、计算量可控、逻辑性和可操作性强、决策结果合理有效等优点。

To further improve and develop traditional preference decision-making theory,inspired by the concept of additive consistency of intuitionistic fuzzy preference relations,two traditional fuzzy preference relations that can be mutually transformed into Pythagorean fuzzy preference relations(PFPRs)are constructed.On this basis,an additive consistency measure for PFPRs is defined,and a Pythagorean fuzzy preference decision-making method driven by additive consistency is designed.The effectiveness and rationality of the proposed Pythagorean fuzzy preference decision-making method are numerically verified through specific cases.Theoretical analysis and numerical verification results show that the proposed decision-making method of PFPRs driven by additive consistency has the advantages of clear structure,controllable amount of calculation,strong logic and operability,and can obtain a reasonable and effective decision-making result.