基于新得分函数的直觉模糊多属性决策方法

Multi-criteria Decision-Making Method Based on a New Score Function under Intuitionistic Fuzzy Environment

得分函数是常见排序直觉模糊数的一个重要指标。借助于S型函数,从客观的角度考虑直觉模糊数的犹豫度对其得分值的影响,提出了直觉模糊数的新得分函数,并通过实例说明新的得分函数能应用于某些现有得分函数失效的情形。基于新的得分函数和直觉模糊加权平均算子给出了一种属性值为直觉模糊数的多属性决策方法,并通过算例阐明该方法的可行性和有效性。

The score function is an important index in ranking intuitionistic fuzzy numbers. Considering the effect of hesitancy degree to score value from the objective view, in this paper, a new scoring function of intuitionistic fuzzy numbers is proposed based on thefunction. Then examples are given to demonstrate the validity of this score function. Furthermore, combined with the intuitionistic fuzzy weighted average operator, a multi-attribute decision method is developed based on the new scoring function. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the new method.