区间灰数直觉模糊集及其G-TOPSIS模糊多属性决策方法  

The Fuzzy Multiple Attributed Decision Methods of Interval Gray Number Intuitionistic Fuzzy Sets and G-TOPSIS

作　　者：高文杰[1] 

机构地区：[1]天津职业大学基础课部,天津300410

出　　处：《数学的实践与认识》2011年第13期193-199,共7页Mathematics in Practice and Theory

摘　　要：提出以区间灰数为隶属度、非隶属度和犹豫度的区间灰数直觉模糊集概念,定义了两个区间灰数直觉模糊集之间的距离.对于以灰直觉模糊数为属性值的模糊多属性决策,依据经典TOPSIS准则,提出了基于区间灰数直觉模糊集的模糊多属性决策方法G-TOPSIS.其包含两种方法:一是将区间灰数白化后,按直觉模糊集的TOPSIS方法进行;一是基于区间灰数直觉模糊距离的TOPSIS方法.示例分析表明了两种方法的有效性与一致性.The paper puts forward the concept of interval gray number intuitionistic fuzzy sets based on the membership degree, non- membership degree and hesitation degree with the interval gray number, defines the distance of between two interval gray intuitionistic fuzzy sets. According to the principle of typical TOPSIS, the fuzzy multiple attributed decision of attributed value based gray intuitionistic fuzzy number gives the method of fuzzy multiple attributed decision （G-TOPSIS） based on interval gray number intuitionistie fuzzy sets. It contains two ways： one is conducted by TOPSIS fnethod of the intuitionistic fuzzy sets after whitening interval gray number, the other is the TOPSIS based on interval distance of intuitionistic fuzzy. Examples analysis shows the effectiveness and consistency of two methods.

关 键 词：模糊多属性决策 区间灰数直觉模糊集 灰直觉模糊数 G—TOPSIS方法 区间灰数直觉模糊距离 

分 类 号：O159[理学—数学]