Relative membership degree method for multiple attribute decision-making with intervals

Huawen Liu · Systems engineering and electronics · 2004

Based on fuzzy set theory, a new decision method handling multiple attribute decision-making problems with intervals is provided. It is called a relative membership degree method. The best and the worst plan are constructed, respectively. The relative membership degree to which an alternative corresponds to the best plan is obtained by means of the synthetically weighted distance between the alternative and the best and the worst plan. The decision is made by the relative membership degrees. This new method overcomes the difficulties that occur in ranking intervals in the traditional analysis methods. It is shwed that analysis that the relative membership degree method has stronger ability to choose the best and rank alternatives than the traditional TOPSIS method. An example is given.

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