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Non-normal fuzzy number analysis in various levels using centroid method for fuzzy optimization
Soft Computing ( IF 4.1 ) Pub Date : 2021-05-06 , DOI: 10.1007/s00500-021-05794-2
M. Revathi , M. Valliathal

In the present article, a level analysis has been improved for various types of fuzzy numbers. In spite of non-normal fuzzy number ranking with more parameters are difficult, this analysis gives a clear idea for the non-normal case. The rank value may vary for different levels of various fuzzy numbers. The authors of this study essentially deal with the ranking approach, which is suitable to analyze three different fuzzy numbers, namely TrapFN, HFN, and HDFN, in the entire possible levels. The varying rank value in the fuzzy numbers can be identified by using the centroid ranking approach. Finally, a comparative analysis is given to demonstrate the advantages of the proposed analysis for fuzzy numbers levels. It is shown that the variation in ranking values of TrapFN, HFN, and HDFN is computed in a more efficient way.



中文翻译:

基于质心法的各级非正规模糊数分析

在本文中,对各种类型的模糊数进行了级别分析。尽管难以对具有更多参数的非常规模糊数进行排序,但该分析为非常规情况提供了清晰的思路。等级值可以针对各种模糊数字的不同水平而变化。这项研究的作者基本上处理了排名方法,该方法适合于在整个可能的水平上分析三个不同的模糊数,即TrapFN,HFN和HDFN。可以使用质心排序方法来识别模糊数中的变化等级值。最后,进行了比较分析,以证明所提出的分析对模糊数字水平的优势。结果表明,以更有效的方式计算了TrapFN,HFN和HDFN等级值的变化。

更新日期:2021-05-07
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