Grey random multi-criteria decision-making approach based on expected value
Ren Shi-chang · Kongzhi yu juece · 2009
In this paper,discrete grey random variable as well as its expected value and standard deviation are defined.As for the multi-criteria decision-making problems,in which the criteria weights are completely known and the criteria value of alternatives are in the form of grey random variables,a grey random multi-criteria decision-making approach is proposed.In the method,the expected value and the standard deviation of each alternative under every criterions are gained separately firstly.After that,a standard expected value decision-making matrix can be formed.And the range of comprehensive evaluation for each alternative can be attained by the matrix operation between the vector of criteria weights and the normalizing decision-making matrix.By using the calculation method of probability degree of interval grey numbers,the evaluation matrix of the range of comprehensive evaluation for alternatives can be enacted and the order of the alternatives can be listed.Finally,an example shows the feasibility and validity of this approach.