产品方案优选的区间二型模糊VIKOR法

Interval Type-2 Fuzzy VIKOR Method of Product Scheme Selection

由于传统一型模糊集的隶属度难以给出精确值,因此采用区间二型模糊集理论对VIKOR方法进行扩展从而建立产品方案的决策优选模型。首先介绍了区间二型模糊数的概念,并结合积分法和区间模糊数比较法定义了一种排序方法,在此基础上实现传统VIKOR算法的扩展。为保证信息的准确性、有效性,在扩展VIKOR算法的整个过程中都未使用解模糊技术,而始终保持评估值的模糊性。产品最优方案根据VIKOR综合指标的排序来选择,其中"群体效益"和"最大个别遗憾"的决策权重由决策者偏好决定。最后,以轨道车辆门产品的方案评价为例,证明所提方法的可行性和有效性。

As it is difficult to determine exact membership function of the traditional type-1 fuzzy sets, so the product scheme evaluation model was established using VIKOR method extended by interval type-2 fuzzy set theory. Firstly, the concepts was introduced, and a new ranking method was defined which combine the integration algorithm with the comparative law of interval fuzzy number. Then,VIKOR method was extended based on the above. To ensure accuracy and validity, maintain the ambiguity of evaluation values, defuzzification technology was not used in the whole process of the extended VIKOR algorithm. Product optimal scheme was determined by the ranking of VIKOR composite index, where the decision weights of ＂community benefit＂ and ＂maximum individual regret＂ were decided by the decision makers＇ preferences. Finally, the proposed method was applied to evaluate the alternatives of rail vehicle door product, which proved the feasibility and effectiveness of the method.