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Pythagorean fuzzy MULTIMOORA method based on distance measure and score function: its application in multicriteria decision making process
Knowledge and Information Systems ( IF 2.5 ) Pub Date : 2020-08-07 , DOI: 10.1007/s10115-020-01491-y
Chao Huang , Mingwei Lin , Zeshui Xu

The MULTIMOORA method is better than some of the existing decision making methods. However, it has not been improved to process Pythagorean fuzzy sets (PFSs). The decision results of the MULTIMOORA method greatly depend on the distance measure and score function. Although there are many studies focusing on proposing distance measures and score functions for PFSs, they still show some defects. In this paper, we propose two novel distance measures and a novel score function for PFSs for proposing a novel Pythagorean fuzzy MULTIMOORA method. To this end, two distance measures, Dice distance and Jaccard distance, are proposed for computing the deviation degree between two PFSs, and their general forms are also discussed. Afterward, a novel score function based on determinacy degree and indeterminacy degree is put forward for approximately representing PFSs. Then, the original MULTIMOORA method is extended by using the Dice distance and score function and it is used to solve the multicriteria decision making problems under the PFS information context. Finally, a real case for evaluating solid-state disk productions is handled using the proposed Pythagorean fuzzy MULTIMOORA method and another case for evaluating energy projects is given to verify the advantages of our studies by comparing them with the existing Pythagorean fuzzy distance measures, score functions, and decision making methods.



中文翻译:

基于距离测度和得分函数的勾股模糊模糊MULTIMOORA方法:在多准则决策过程中的应用

MULTIMOORA方法优于某些现有的决策方法。但是,处理毕达哥拉斯模糊集(PFS)并没有得到改进。MULTIMOORA方法的决策结果在很大程度上取决于距离度量和得分函数。尽管有许多研究着重于提出PFS的距离度量和评分函数,但它们仍然显示出一些缺陷。在本文中,我们提出了两种新颖的距离测量方法和新颖的得分函数,以提出一种新颖的勾股模糊模糊MULTIMOORA方法。为此,提出了两个距离量度,即骰子距离和雅卡德距离,以计算两个PFS之间的偏离程度,并讨论了它们的一般形式。之后,提出了一种基于确定性和不确定性的新型评分函数,用于近似表示PFS。然后,利用Dice距离和得分函数扩展了原始的MULTIMOORA方法,并用于解决PFS信息环境下的多准则决策问题。最后,使用提出的毕达哥拉斯模糊MULTIMOORA方法处理了评估固态磁盘生产的实际案例,并给出了另一项评估能源项目的案例,通过将它们与现有毕达哥拉斯的模糊距离度量,得分函数进行比较来验证我们的研究优势以及决策方法。最初的MULTIMOORA方法通过使用Dice距离和得分函数进行扩展,用于解决PFS信息上下文下的多准则决策问题。最后,使用提出的毕达哥拉斯模糊MULTIMOORA方法处理了评估固态磁盘生产的实际案例,并给出了另一项评估能源项目的案例,通过将它们与现有毕达哥拉斯的模糊距离度量,得分函数进行比较来验证我们的研究优势以及决策方法。最初的MULTIMOORA方法通过使用Dice距离和得分函数进行扩展,用于解决PFS信息上下文下的多准则决策问题。最后,使用提出的毕达哥拉斯模糊MULTIMOORA方法处理了评估固态磁盘生产的实际案例,并给出了另一项评估能源项目的案例,通过将它们与现有毕达哥拉斯的模糊距离度量,得分函数进行比较来验证我们的研究优势以及决策方法。

更新日期:2020-08-08
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