一类基于Hausdauff距离的模糊型多属性决策方法

研究了已知属性的部分权重信息且属性值以三角模糊数形式给出的不确定型多属性决策问题.给出了三角模糊数的Hausdauff距离的简明计算公式.利用Hausdauff距离来度量三角模糊属性值之间的差异程度,建立了一个线性规划模型来确定属性的权重,并给出了一种基于可能度的决策方案排序方法.最后通过应用示例说明了该方法的实用性和有效性.

Fuzzy multi-attribute decision-making method based on Hausdauff distance

This paper studies a kind of uncertain multi-attribute decision-making problems,in which the partial information about the attribute weights is known and the attribute values are in the forms of triangular fuzzy numbers.In this paper,we give the concrete formula of Hausdauff distance of the triangular fuzzy numbers.The deviation degrees bwtween triangular fuzzy attribute values are measured by applying Hausdauff distance,a linear programming model is established for obtaining the attribute weights,and the priority based on possibility degree for the uncertain multi-attribute decision-making problem is proposed.Finally,an illustration is given to show the feasibility and effectiveness of the method.