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Solving the dilemma in supplier selection by the group of weight vector with kernel

Sifeng Liu (Institute for Grey Systems Studies, Nanjing University of Aeronautics and Astronautics, Nanjing, China)
Tao Liu (General Manager's Office, Huawei Technologies(Guangxi), CO., LTD, Nanning, China)
Wenfeng Yuan (Commercial Aircraft Corporation of China, Shanghai, China)
Yingjie Yang (De Montfort University, Leicester, UK)

Grey Systems: Theory and Application

ISSN: 2043-9377

Article publication date: 9 December 2021

Issue publication date: 26 May 2022

120

Abstract

Purpose

The purpose of this paper is to solve the dilemma in the process of major selection decision-making.

Design/methodology/approach

Firstly, the group of weight vector with kernel has been defined. Then, the weighted comprehensive clustering coefficient vector was calculated based on the group of weight vector with kernel. Under the action of weighted comprehensive clustering coefficient vector, the information including in other components around component k and supporting object i to be classified into the k-th category has been gathered to component k. At last, a novel two-stage decision model based on the group of weight vector with kernel and the weighted comprehensive clustering coefficient vector is put forward to solve the dilemma in grey clustering evaluation. Then the overall evaluation conclusion can be consistent with the clustering result according to the rule of maximum value.

Findings

A new way to solve the dilemma in the process of major selection decision-making has been found. People can obtain a consistent result with two-stage decision model at the case of dilemma. That is, the conclusion of the overall evaluation is consistent with the clustering result according to the rule of maximum value.

Practical implications

Several functional groups of weight vector with kernel have been put forward. The proposed model can solve the clustering dilemma effectively and produce consistent results. A practical application of decision problem to solve the dilemma in supplier evaluation and selection of a key component of large commercial aircraft C919 have been completed by the novel two-stage decision model.

Originality/value

The two-stage decision model, the group of weight vector with kernel and the weighted comprehensive clustering coefficient vector were presented in this paper firstly. People can solve the dilemma in grey clustering evaluation effectively by the novel two-stage decision model based on the group of weight vector with kernel and the weighted comprehensive clustering coefficient vector.

Keywords

Acknowledgements

This work was supported by the projects of National Natural Science Foundation of China (72071111, 71671091). It was also supported by a joint project of both the NSFC and the RS of the UK (71811530338), a project of Intelligence Introduction Base of the Ministry of Science and Technology (G202181014L). At the same time, the authors would like to acknowledge the partial support of the Fundamental Research Funds for the Central Universities of China (NC2019003).

Citation

Liu, S., Liu, T., Yuan, W. and Yang, Y. (2022), "Solving the dilemma in supplier selection by the group of weight vector with kernel", Grey Systems: Theory and Application, Vol. 12 No. 3, pp. 624-634. https://doi.org/10.1108/GS-06-2021-0088

Publisher

:

Emerald Publishing Limited

Copyright © 2021, Emerald Publishing Limited

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