基于距离测度的可信犹豫模糊集一致性检验方法

Consistency Check Method for Trusted Hesitant Fuzzy Set with Confidence Level Based on Distance Measure

一致性检验是犹豫模糊集领域的一个热点问题,数据的一致性直接影响到犹豫模糊集评价的科学性和有效性.论文采用距离测度的方法研究犹豫模糊集的一致性问题,通过分析每个模糊元与其对应的属性综合决策值之间的差异,得出各属性的综合距离测度.同时,充分考虑专家意见在犹豫模糊集中的影响效应,以相对可信度为权重对犹豫模糊集的一致性进行分析.最后,利用数值案例验证了所提方法的有效性和可靠性.

Consistency test is a hot issue in the field of hesitant fuzzy sets.The consistency of data directly affects the scientificity and effectiveness of hesitant fuzzy set evaluation.The paper uses the distance measure method to study the consistency problem of hesitant fuzzy sets.By analyzing the difference between each fuzzy element and its corresponding attribute comprehensive decision value,the comprehensive distance measure of each attribute is obtained.At the same time,taking full account of the influence effect of expert opinions on hesitant fuzzy concentration,the paper analyzes the consistency of hesitant fuzzy sets with relative credibility as weight.Finally,the paper uses numerical examples to verify the effectiveness and reliability of the proposed method.