The cross-border e-commerce platform selection based on the probabilistic dual hesitant fuzzy generalized dice similarity measures

IF 2 3区 数学 Q1 MATHEMATICS
Baoquan Ning, G. Wei
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引用次数: 0

Abstract

Abstract Cross-border e-commerce platform (CBECP) plays a very important role in the development of a cross-border e-commerce (CBEC). How to select the best CBECP scientifically and reasonably is a very critical multi-attribute group decision-making (MAGDM) issue. With the uncertainty of people’s cognition of the objective world, the decision-making process is full of a lot of fuzzy information. In view of the great advantages of probabilistic dual hesitation fuzzy set (FS) in expressing decision-making information, and in combination with the very extensive use of the Dice similarity measure (DSM), a new MAGDM method is proposed for the optimal CBECP selection (CBECPS) under the probabilistic dual hesitation fuzzy (PDHF) environment. First, on the basis of reviewing a large number of documents on the CBECPS for CBEC, the evaluation index system for the CBECPS is constructed; second, several new DSMs are proposed in the PDHF environment; third, based on the two newly proposed probabilistic dual hesitant weighted generalized Dice similarity measures, two novel MAGDM methods are provided for CBECPS, which are used for CBECPS; finally, the two established MAGDM techniques are compared with the existing decision-making methods, and the parameter analysis is carried out to illustrate the effectiveness and superiority of the two established MAGDM techniques. The two established techniques can not only be used for CBECPS of CBEC, but also be extended to similar related research.
基于概率对偶犹豫模糊广义骰子相似测度的跨境电商平台选择
摘要跨境电子商务平台(CBECP)对跨境电子商务的发展起着非常重要的作用。如何科学合理地选择最佳CBECP是一个非常关键的多属性群体决策问题。由于人们对客观世界认知的不确定性,决策过程中充满了大量的模糊信息。针对概率对偶犹豫模糊集(FS)在表达决策信息方面的巨大优势,结合Dice相似度度量(DSM)的广泛应用,提出了一种新的MAGDM方法,用于概率对偶犹豫模糊(PDHF)环境下CBECP的最优选择(CBECPS)。首先,在查阅大量CBECPS相关文献的基础上,构建了CBECPS评价指标体系;其次,在PDHF环境下提出了几种新的dsm;第三,在两种新提出的概率对偶犹豫加权广义骰子相似度测度的基础上,提出了针对CBECPS的两种新的MAGDM方法,并将其应用于CBECPS;最后,将所建立的两种MAGDM技术与现有的决策方法进行了比较,并进行了参数分析,以说明所建立的两种MAGDM技术的有效性和优越性。所建立的两种技术不仅可以用于CBEC的CBECPS,而且可以推广到类似的相关研究中。
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来源期刊
CiteScore
2.40
自引率
5.00%
发文量
37
审稿时长
35 weeks
期刊介绍: Demonstratio Mathematica publishes original and significant research on topics related to functional analysis and approximation theory. Please note that submissions related to other areas of mathematical research will no longer be accepted by the journal. The potential topics include (but are not limited to): -Approximation theory and iteration methods- Fixed point theory and methods of computing fixed points- Functional, ordinary and partial differential equations- Nonsmooth analysis, variational analysis and convex analysis- Optimization theory, variational inequalities and complementarity problems- For more detailed list of the potential topics please refer to Instruction for Authors. The journal considers submissions of different types of articles. "Research Articles" are focused on fundamental theoretical aspects, as well as on significant applications in science, engineering etc. “Rapid Communications” are intended to present information of exceptional novelty and exciting results of significant interest to the readers. “Review articles” and “Commentaries”, which present the existing literature on the specific topic from new perspectives, are welcome as well.
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