Grey Evaluation Model Based on Reformative Triangular Whitenization Weight Function and Its Application in Water Rights Allocation System

Abstract

Abstract:In the actual analysis of grey clustering evaluation, the length of a grey clustering interval was partially longer, which is determined by the grey clustering evaluation method based on the center-point triangular whitenization weight function. In response to problems like this, this paper proposes a new grey evaluation method on the basis of the reformative triangular whitenization weight function. Motivated by ideas of the end-point and the center-point triangular whitenization weight functions, we construct a new compact-center-point triangular whitenization weight function. Then, several aspects of the three kinds of triangular whitenization weight functions are compared, such as the crossing properties of grey cluster, clustering coefficients, rules for grey clustering interval, rules for choosing end-points and clustering performance. In the following, this paper proposes an example about the evaluation of a basin initial water rights allocation scheme, which analyzes the three methods to further verify that the new grey clustering evaluation method is feasible and effective. The results indicate that the compact-center-point triangular whitenization weight function precedes the end-point triangular whitenization weight function and the center-point triangular whitenization weight function soundly.

Risk Assessment of Critical Solid Waste Points in Lima, Peru, using the Grey Clustering Method

“…The Grey Clustering method is based on the theory of grey systems [5]. Grey systems study problems with small samples or with limited information, this being an advantage due to the fact that studies of socio-environmental phenomena tend to have this characteristic, which is why this methodology has already been applied in different areas such as water management [6], environmental conflicts [7], and occupational safety management.…”

Grey Clustering Evaluation Model Based on D-S Evidence Theory to Evaluate the Scheme of Basin Initial Water Rights Allocation

“…In recent decades, along with the implement of "the strictest water resources management system", much attentions have been focused on water rights allocation system for optimizing allocation of water resources in China [5,[13][14][15]. The performance of the basin initial water rights allocation scheme directly affects the efficiency of water resources utilization.…”

“…Grey clustering evaluation is part of the grey system theory, which is suitable for evaluating objects only with partial and uncertainty information. Whitenization weight function is the key technology to grey clustering evaluation and directly affects the evaluation reliability [14]. Whitenization weight function refers to the preference for different values of a grey variable within its scope.…”

“…To address the construction of whitenization weight function, a number of optimization techniques were developed, and is widely used in the fields of evaluation research, such as resources allocation, traffic safety and the construction of road system, the information system functional requirements, web sites [14,19,[21][22][23][24][25][26][27]. Liu and Zhu developed whitenization weight function and proposed the grey clustering evaluation method based on the end-point triangular whitenization weight function (ETWF) to evaluate the construction of universities [19].…”

“…Besides, Liu and Xie did further research on the theory of ETWF, proposed the grey clustering evaluation method based on the center-point triangular whitenization weight function(CTWF), and proved that CTWF precedes ETWF in several aspects, such as the crossing properties of a grey cluster, rules for choosing end-points and clustering coefficients [23]. Motivated by the ideas of grey clustering evaluation based on ETWF and CTWF, Zhang et al proposed grey clustering evaluation based on the compact-center-point triangular whitenization weight function (CCTWF) by taking the problem of which the division of grey clustering interval of triangular whitenization weight function is lack of certain scientific ideals as the breakthrough point, and applied it in the evaluation of basin initial water rights allocation scheme [14].…”