Stochastic rough normal distribution multi-criteria decision-making method based on SRN-WAA operator

This paper investigates a multiple attribute decision making problem, whose attribute values are stochastic rough normal distribution. We define stochastic rough normal distribution variables, and then propose rules and stochastic rough normal distribution aggregation operator (SRN-WAA). The method based on SRN-WAA operator is proposed for the problem of the incomplete information on attribute´s weights and it´s values in terms of random variables. In order to confirm the optimal criterion weights, we use the attribute´s variance and attribute´s weights which obey normal distribution to establish optimization. And it uses SRN-WAA operator to integrate criterion for obtaining the alternative´s evaluation of estimate. Besides it receives the sequencing of the mean of alternatives by means of comparing composite evaluation. Finally, a numerical example shows the effectiveness of the proposed method.