对方案有偏好的区间直觉模糊数多属性决策方法

With respect to with interval-valued intuitionistic fuzzy multiple attribute decision making problems with preference information on alternatives and incomplete weight information, some operational laws of interval-valued intuitionistic fuzzy numbers, score function and accuracy function of interval-valued intuitionistic fuzzy numbers are introduced. An optimization model based on the minimizing deviation method, by which the attribute weights can be determined, is established. We utilize the interval-valued intuitionistic fuzzy weighted arithmetric averaging (IIWAA) operator to aggregate the interval-valued intuitionistic fuzzy information corresponding to each alternative, and then rank the alternatives and select the most desirable one(s) according to the score function and accuracy function. Finally, a numerical example is used to illustrate the use of the proposed method. The result shows the approach is simple, effective and easy to calculate. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.