基于含参模糊数距离的模糊数排序
Fuzzy Number Ranking Based on Parametric Fuzzy Number Distance
DOI: 10.12677/pm.2024.148318, PDF,    国家自然科学基金支持
作者: 易姝伶, 潘小东*：西南交通大学数学学院，四川 成都
关键词: 区间数；模糊数；模糊数距离；模糊数排序；Interval Numbers； Fuzzy Numbers； Fuzzy Number Distance； Fuzzy Numbers Ranking
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。
Abstract: 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.
文章引用：易姝伶, 潘小东. 基于含参模糊数距离的模糊数排序[J]. 理论数学, 2024, 14(8): 196-208. https://doi.org/10.12677/pm.2024.148318

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