基于案例推理和灰色关联的直觉模糊决策分类模型

针对现有直觉模糊决策方法中指标权重的确定往往仅根据决策矩阵的数据而不考虑决策背景这一缺点,提出一种基于灰色关联和案例推理的分类模型.首先提出一种基于直觉模糊数的灰色关联公式,在此基础上构建基于案例推理的数学模型寻求最优权重以及分类半径,依据最优权重和分类半径对各个方案进行决策.本文提出的分类模型既考虑了专家的主观判断又根据决策矩阵数据,克服了上述缺点.最后通过案例说明了本文方法的合理性和可行性.

Intuitionistic fuzzy cluster models based on case-based reasoning and grey incidence analysis

The existing methods to get the weights of the attributes are always only based on the decision making matrix taking no account of decision making background. An intuitionistic fuzzy cluster models based on grey incidence analysis and case-based reasoning is proposed to deal with the problem. First, a new grey incidence analysis formula is put forward based on intuitionistic fuzzy numbers. And a mathematical model is proposed based on cases to find optimal weight and classification radius. And the best alternative was got according to the weight and classification radius. Not only the subjective judgment of the experts but also the data of decision making matrix are taken into account and the above shortcoming can be solved. Finally, an example showed the feasibility and validity of this method.