基于新的距离度量的三角模糊数多属性决策法

Method of Triangular Fuzzy Number Multiple Attribute Decision Making based on a New Distance Neasure

利用基于区间数的中心、半宽度的距离度量以及三角模糊数的水平集信息,定义了三角模糊数上一个新的距离度量,并证明了该距离满足非负性、对称性和三角不等式性质.进一步,针对三角模糊数上的多属性决策问题,利用该距离度量和模糊理想点思想,给出了一种基于新的距离度量的多属性topsis决策方法.最后,给出应用实例,并验证了该方法的合理性、有效性.

A new distance measure between triangular fuzzy numbers is defined based on the distance measure of the center and semi-width of interval numbers and the level-set information of triangular fuzzy numbers. Hence, the properties of this distance： nonnegative, symmetry, triangular inequality are proved. Moreover, a multiple attribute topsis decision making method based on a new distance measure is presented to deal with the fuzzy multiple attribute decision making problems on triangular fuzzy numbers by using this distance measure and the fuzzy ideal point. Finally, the practical example is given to verify the rationality and the effectiveness of the proposed method.