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

ABSTRACT

In view of the characteristics of the randomness and uncertainty of basin initial water rights allocation scheme evaluation, this paper, integrating the Dempster-Shafer (D-S) evidence theory and the grey clustering evaluation method, researches on the evaluation method of allocation scheme. Taking advantages of D-S evidence theory and the compactcenter- point triangular whitenization weight function (CCTWF) in processing and integrating the uncomplete information, the grey clustering evaluation model based on D-S evidence theory is proposed. The integrated clustering coefficients matrix is obtained by using the grey clustering evaluation method based on CCTWF, and we look each clustering object as an evidence. Then, D-S evidence theory is used to obtain the belief function of every evidence with application of Dempster’s combination rule, and the result of scheme evaluation in terms of the principle of selecting maximum value of belief functions. Finally, we take the evaluation of basin initial water rights allocation scheme of Dalinghe River in China for instance to demonstrate the practicability and effectiveness of this model.

Keywords:

D-S evidence theory, evaluation model, grey clustering evaluation, grey system theory, initial water rights allocation.