基于三角模糊软集的多属性灰色关联决策方法

Multiple Attribute Grey Relational Decision Making Method Based on Triangular Fuzzy Soft Sets

针对决策属性为三角模糊软集且决策属性权重未知的一类决策问题,依据灰色关联理论,提出了一种基于三角模糊软集的多属性灰色关联决策方法。首先,依据三角模糊软集的基本性质和运算法则,确定模糊正理想点和模糊负理想点;其次,通过引入三角模糊软集合之间的距离测度来确定决策属性的权重值,进而计算模糊正理想点和模糊负理想点的灰色关联度,并求解与理想方案的相对贴近度来确定最优方案;最后,通过一个算例来验证该方法的有效性和可行性。

In the light of the decision making problem that the attribute value is triangular fuzzy soft sets and decision attribute weights are unknown,according to grey relational theory,this paper puts forward a method that it is a multiple attribute's grey relational decision method based on triangular fuzzy soft sets.First,fuzzy positive ideal point and fuzzy negative ideal point are determined by the means of triangular fuzzy soft sets' basic properties and algorithm rules.Then,decision attribute weight value is obtained through producing the distance measure of triangular fuzzy soft sets,the grey relational degree of fuzzy positive ideal point and fuzzy negative ideal point are calculated,and relative closeness to ideal solution for confirming the best solution is solued.At last,an example verifies the feasibility and effectiveness of the method.