基于一致性指数的三角犹豫模糊投影决策方法

Projection method with hestitant triangular fuzzy information based on consistency index

摘要:

针对属性权重信息不完全未知的三角犹豫模糊多属性决策问题，提出基于一致性指数的双向投影决策方法。首先，针对三角犹豫模糊决策信息，给出备选方案与正负理想点形成向量的表达公式，利用方案与正负理想点的一致性变化关系，构建基于一致性指数的三角犹豫模糊双向投影测度模型；然后，建立基于一致性指数最大化的权重优化模型，通过求解优化模型计算属性权重。最后，通过算例说明方法的有效性和可行性。

Abstract:

For the multiple attribute decision making problem, in which the attribute weights are incompletely unknown and attribute values take the form of hestitant triangular fuzzy numbers, a bidirectional projection decision method based on consistency index is proposed. Firstly, the vectors of alternatives, positive-ideal and negative-ideal point are defined. A bidirectional projection decision model based on consistency index is proposed, in which the attribute values are in the form of hestitant triangular fuzzy set. Then, an optimization model based on maximizing the consistency index is constructed to obtain the attribute weights. Finally, a numerical example is provided to illustrate the validity and feasibility of the proposed method.