一种基于等价关系的模糊多属性语言决策方法

Fuzzy multi-criteria linguistic decision-making method based on equivalence relation

提出一种基于等价关系的模糊评价语言值排序方法,分析该排序方法的相关性质,证明了该排序方法确保模糊评价语言值之间的序关系是一种线性序关系,从而保证模糊多属性语言决策最优解的唯一性。实例分析表明,本研究提出的排序方法能够克服已有预序关系带来的不足,是一种可选的模糊多属性语言决策方法。

An ordering method of fuzzy evaluating linguistic values based on equivalence relation was proposed, and its properties were analyzed.It was proved that the ordering method could make a linear ordering among fuzzy evaluating linguistic values, which meaned that the ordering method could provide the unique optimal solution of fuzzy multi-crite-ria linguistic decision-making.Example analysis showed that the proposed method could be used to avoid the drawback of pre-order relation, which could be an alternative method of fuzzy multi-criteria linguistic decision-making method.