联系向量距离与灰色关联度结合的理想解法

doi:10.12341/jssms21308

系统科学与数学 ›› 2022, Vol. 42 ›› Issue (4): 978-991.DOI: 10.12341/jssms21308

联系向量距离与灰色关联度结合的理想解法

吴飞美¹, 林鸿熙²

1. 闽江学院经济与管理学院福州 350108;
2. 莆田学院商学院莆田 351100

收稿日期:2021-06-09 修回日期:2021-11-20 出版日期:2022-04-25 发布日期:2022-06-18
通讯作者: 林鸿熙,Email:linhongxi@163.com.
基金资助:
国家自然科学基金项目(71573114),福建省自然科学基金项目(2019J01817),莆田市科技计划项目(2018RP4003)资助课题.

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吴飞美, 林鸿熙. 联系向量距离与灰色关联度结合的理想解法[J]. 系统科学与数学, 2022, 42(4): 978-991.

WU Feimei, LIN Hongxi. TOPSIS Method of Connecting Connection Vector Distance with Grey Correlation Degree[J]. Journal of Systems Science and Mathematical Sciences, 2022, 42(4): 978-991.

TOPSIS Method of Connecting Connection Vector Distance with Grey Correlation Degree

WU Feimei¹, LIN Hongxi²

1. School of Economics and Management, Minjiang University, Fuzhou 350108;
2. School of Business, Putian University, Putian 351100

Received:2021-06-09 Revised:2021-11-20 Online:2022-04-25 Published:2022-06-18

关键词： 理想解法, 联系向量距离, 灰色关联度, 综合距离

Aiming at the defects of traditional TOPSIS method, this paper presents a new TOPSIS method combining the connection vector distance and grey correlation degree. Firstly, the connection vector distance between each scheme to be decided and the ideal solution and the negative ideal solution is calculated, in which the ideal solution and the negative ideal solution are regarded as the opposite sets in the certain or uncertain system; Secondly, the similarity degree between each scheme to be decided and the ideal solution and the negative ideal solution is calculated by using the grey correlation degree method; Thirdly, by defining the new comprehensive distance and the close degree of the comprehensive distance, TOPSIS method of connecting connection vector distance with grey correlation degree is constructed. This method not only solves the defect of traditional ideal solution method effectively, but also contains the difference in the trend of the scheme to be selected, and at the same time, the comprehensive distance fully considers the preference of decision makers or expert opinion in weight allocation, making the evaluation result more effective. Finally, the validity of the method is proved by a classical example.

Key words: TOPSIS, connection vector distance, grey correlation degree, comprehensive distance

MR(2010)主题分类:

90B50

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