摘要
针对传统一型模糊集理论在表达不确定信息方面的不足,采用区间二型模糊集理论对TOPSIS方法进行扩展从而构建产品方案评价模型。介绍了区间二型模糊集的定义,采用形心法设计了一种区间二型模糊集的排序方法,在此基础上对TOPSIS算法进行扩展。在产品方案评价TOPSIS法的整个决策过程中,始终采用区间二型模糊集的形式来表达评估信息,从而保证信息的准确性和有效性。产品最优方案根据TOPSIS二型模糊贴近度的排序来选择,是最接近'理想解'而又最远离'负理想解'的一个备选方案。最后,以一个实例证明所提理论与方法的可行性和有效性。
For the deficiency of the uncertain information expressed by type-1 fuzzy sets,this paper proposed interval type-2 fuzzy sets extended TOPSIS algorithm to construct product scheme evaluation model. Firstly,the concept of interval type-2 fuzzy sets was introduced,and a new sorting method using centroid method was defined. Then,TOPSIS algorithm was extended based on the above. To ensure accuracy and validity,the evaluation information was expressed in the form of interval type-2 fuzzy sets throughout the decision-making process of the product evaluation. Product optimal scheme was determined by the ranking of TOPSIS closeness degree,it is an option which is closest to the"ideal solution"and the most away from the "negative ideal solution". At last,the feasibility and effectiveness of the method was proved by an application.
出处
《科技通报》
2018年第3期120-124,共5页
Bulletin of Science and Technology
基金
国家自然科学基金(51505211)
南京工程学院引进人才科研启动基金(YKJ201301)
关键词
产品方案决策优选
区间二型模糊集
TOPSIS算法
多属性决策
product scheme optimization decision
interval type-2 fuzzy sets
TOPSIS algorithm
multicriteria decision making(MCDM)