基于一致性指数的三角犹豫模糊投影决策方法

Projection Decision Making Method with Hesitant Triangular Fuzzy Information Based on Consistency Index

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。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式,利用备选方案与正负理想点一致性变化关系,构建基于一致性指数的三角犹豫模糊双向投影测度模型。在此基础上,建立基于一致性指数最大化的属性权重优化模型,通过求解优化模型计算权重。并通过算例说明方法的有效性和可行性。

For multiple attribute decision making problems,in which the attribute weights are unknown incompletely and attribute values take the form of hesitant triangular fuzzy element,a bidirectional projection decision making method based on consistency index is proposed.First,the expressions of vectors among the alternatives,positive-ideal point and negative-ideal point are defined.Then,a bidirectional projection decision making model based on consistency index is proposed,in which the attribute values are in the form of hesitant triangular fuzzy element.Furthermore,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.