基于TOPSIS的区间三角模糊集多属性群决策方法

New Group Decision Making Method in Interval-Triangular Fuzzy Setting Based on TOPSIS

在多属性决策方法中,因为每个专家都有他自己的知识和专长,因此对于不同的属性不同的专家就会有不同的权重。在区间三角模糊集上提出了一种基于TOPSIS的确定专家权重的新方法。该方法在评价值接近正理想点并且同时远离负理想点时会被赋予一个较高的专家权重;反之,评价值就会被赋予一个小的专家权重;经验证,通过该方法确定的专家权重对于解决实际的决策问题效果显著。进而提出了一种属性权重信息在不同情形下的区间三角模糊集多属性群决策方法:包括属性权重完全已知,部分已知和完全未知,并且通过实例证明了该方法的可行性和有效性。

In multiple attribute group decision making, because every expert has his own knowledge and expertise, different experts have different weights for different attributes. A new method to determine the expert’s weights is put forward based on the TOPSIS method in interval-triangular fuzzy setting. If the evaluation value is close to the positive idea evaluation value and far away from the negative ideal evaluation value, it will be given a large weight;otherwise, the evaluation value will be given a small weight. Experience shows that the weight of experts determined by this method has a significant effect on solving practical decision-making problems. A new method of multiple attribute interval-valued intuitionistic fuzzy group decision making is presented in this paper, including the attribute weights which are completely known, partly known and completely unknown. Finally, the feasibility and validity of this method are proved by our examples.