Abstract
In this study, aiming at the multi-attribute decision-making problem with incomplete and uncertain attribute weight information and attribute value of interval numbers, a grey target decision-making model of interval numbers based on positive and negative clouts is proposed. Firstly, in this model, the linear transformation operator of interval number is used to normalize the original decision information, and the positive and negative clouts of interval number are designed. Secondly, after the space projection distance between each scheme and the positive and negative clouts is considered comprehensively, the off-target distance is taken as the basis of vector analysis in space to obtain a new comprehensive off-target distance. The existing interval number grey target decision-making model ignores the important influence of interval distribution and the correlation between the attributes in scheme evaluation, and there are some fuzzy errors when setting the weight of attributes. In order to solve the above problems, this paper combined with the uncertainty analysis of the attribute weights, a goal programming is constructed for the objective function based on the comprehensive off-target distance minimization to solve the attribute weight vector, and finally determine the order of the scheme. Finally, the feasibility and effectiveness of the proposed grey target decision model are verified by an example of venture capital projects. Compared with traditional models, the improved model fully considers the characteristics of interval data and the correlation between the attributes.
Highlights
Multi-attribute decision-making (MADM) is widely applied in the fields of society, economy, technology and engineering design
In order to solve the above problems, this paper combined with the uncertainty analysis of the attribute weights, a goal programming is constructed for the objective function based on the comprehensive off-target distance minimization to solve the attribute weight vector, and determine the order of the scheme
In order to make the decision-making information more scientific and reasonable, both positive and negative clouts are considered in the comprehensive off-target distance, and the off-target distance is used as a vector (Zheng-hua et al 2019; Khameneh and Kılıcman 2019)
Summary
Multi-attribute decision-making (MADM) is widely applied in the fields of society, economy, technology and engineering design. In the extension of modeling objects, Li-ping et al (2019) proposed the interval number grey target decision-making model based on multi-dimensional association sampling, introduced the fuzzy set-valued statistical method to determine the index weight, and expanded the grey target decision-making model weight from the real number sequence to the interval number sequence, which reduced the fuzzy error in the expert decision-making process. Based on the theory of variable weight and grey target, Zhuang et al (2019) proposed a dynamic evaluation method, which solved the performance evaluation problem of hybrid multi-attribute command and control system with accurate real number, interval number and triangular fuzzy number. By considering interval distribution and attribute relevance, it weakens the influence of attribute extreme values on the decision results, so that the evaluation results are more scientific and accurate
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