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...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.展开更多
文摘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.
