基于模糊数直觉模糊PG算子的多属性决策方法

Approaches to Multiple Attribute Group Decision Making Based on Triangular Fuzzy Number Intuitionistic Fuzzy Power Geometric Operator

针对决策信息为三角模糊数直觉模糊数(TFNIFN)且属性间存在相互关联的多属性群决策(MAGDM)问题,提出了一种基于三角模糊数直觉模糊PG(TFNIFPG)算子的决策方法.首先,基于TFNIFN的运算法则和PG(Power Geometric)算子,定义了TFNIFPG算子.然后,研究了该算子的一些性质,建立基于TFNIFPG算子的MAGDM模型,结合排序方法进行决策.最后通过某项目投资算例验证了该算子的有效性与可行性.

With respect to the multiple attribute group decision-making（MAGDM）problem,a method based on triangular fuzzy number intuitionistic fuzzy powergeometric （TFNIFPG）operator was presented.The attribute values of MAGDM are in the form of triangular fuzzy number intuitionistic fuzzy numbers （TFNIFN）,and the attributes are associated with each other.Firstly,according to the TFNIFN’s operational laws and power geometric （PG）operator,TFNIFPG operator was defined. Then the related properties were researched and a multiple attribute decision group model was constructed based on TFNIFPG operator.The model used sort methods to make decision.Finally,an illustrative example of proj ect investment was proposed to demonstrate the effectiveness and feasibility of the proposed operator.