基于含参模糊数距离的模糊数排序  

Fuzzy Number Ranking Based on Parametric Fuzzy Number Distance

作　　者：易姝伶 潘小东[1] 

机构地区：[1]西南交通大学数学学院,四川 成都

出　　处：《理论数学》2024年第8期196-208,共13页Pure Mathematics

摘　　要：为提出新的模糊数排序方法并验证其可行性,首先通过综合考虑区间数中各对应点对区间数距离的影响程度,构造了一种新的区间数距离,并利用该区间数距离建立了一种新的模糊数距离。在此基础之上,给出了一种新的模糊数排序方法,并证明了该方法仍然具备Wang和Kerre提出的关于模糊数排序的一系列性质。最后,通过实例验证了所提模糊数排序方法的可行性与有效性。In order to propose a new fuzzy number ranking method and verify its feasibility, a new interval number distance is constructed by comprehensively considering the influence degree of each corresponding point in the interval numbers on the interval number distance, and a new fuzzy number distance is established by this interval number distance. On this basis, a new fuzzy number ranking method is given, and it is proved that the method still has a series of properties about fuzzy number ranking proposed by Wang and Kerre. Finally, the feasibility and effectiveness of this fuzzy number ranking method are verified by some examples.

关 键 词：区间数 模糊数 模糊数距离 模糊数排序 

分 类 号：O15[理学—数学]