A Multi-attribute Decision-making Method with Interval-numbers and its Application

In view of the limitation in describing the fuzzy evaluating values by interval-numbers which belong to the uniform distributions, a decision-making method with interval- numbers of the normal distributions is proposed. The probability measures of interval-numbers are analysed, and the method for producing interval-numbers of the normal distribution is introduced. Two fuzzy operators are designed to aggregate the fuzzy comprehensive evaluating vectors. The comprehensive evaluating values are produced by fuzzy random simulation, so the alternatives are ranked using the mean and variance of the samples. The method is applied to evaluation of alternatives about logistics centre location. Finally, an example is given to demonstrate the validity of this method.