Method for multi-attribute group decision-making based on multi-experts' interval numbers
Dengbao Yao · Journal of Computer Applications · 2012
A group decision-making method based on non-linear programming model was proposed for multi-attribute problem based on multi-experts' interval numbers.This method had constructed the following principles: under different objects and attribute conditions,the weight of an expert would be bigger if his evaluation value was close to the mean value of all experts' evaluation;on the other hand,smaller.Based on this,the problem that experts' weights were hard to be determined had been solved successfully with interval distance formula and programming model.According to aggregated operator theory,decision-making matrices had be aggregated into a collective decision-making matrix by use of interval weighted arithmetic aggregated operator,then aggregated into an overall attribute value by attribute weights,and with two-dimensions possibility degree,a possibility degree matrix had been constructed to rank all objects by ranking vectors method.Finally,a case study was presented to verify the proposed method's feasibility and rationality.