What is it about?
In order to solve the problem of multi-criteria decision making (MCDM) based on Z-number information, the Jaccard distance based on Z-number information is proposed, and the distance is combined with the logTODIM method with Z-number information to solve the problem of investment scheme selection。
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Why is it important?
Since Z-number is composed of two parts, fuzzy restriction A and its reliability B, to measure the difference (similarity) between two Znumbers, one cannot simply use some distance to measure it. Jaccard distance, the proportion of elements occupied by different elements in two sets is used to measure the similarity between two samples [18]. Therefore, it is reasonable to introduce the jaccard distance into Znumber to measure the difference (similarity) between two Z-numbers, but the two parts of a Z-number cannot be simply viewed as a twodimensional vector, so we have to define the generalize jaccard distance suitable for two Z-number numbers in the Z-number environment. Therefore, this paper first proposes Jaccard distance with Z-number information based on Jaccard distance.
Perspectives
I am very happy to write this article, which will make me more motivated and confident in the following in-depth research on Z-number distance and decision-making methods
Wenbin Deng
Read the Original
This page is a summary of: An Improved TODIM Method With Z-number and Its Application in Ranking, October 2022, ACM (Association for Computing Machinery),
DOI: 10.1145/3565387.3565395.
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