方案偏好已知的三角模糊数型多属性决策方法

研究决策者对方案偏好已知、属性值以三角模糊数形式给出且属性权重信息不能完全确知的多属性决策问题.提出了基于模糊比例值的决策方法和基于模糊偏差度的决策方法,这两种方法首先建立一个线性规划模型,通过求解该模型获得属性权重;然后,基于三角模糊数两两比较的可能度公式及三角模糊数排序公式,对决策方案进行排序和择优;最后,通过实例验证了方法的可行性和有效性.

Methods for triangular fuzzy number multi-attribute decision making with given preference information on alternative

The multi-attribute decision making problem is studied,in which the information on alternatives preference is given,attribute weights are unknown partly and the attribute values are given in the forms of triangular fuzzy numbers.Two decision methods are proposed,one is the fuzzy proportional value decision method,and the other is the degree of fuzzy deviation decision method.By using two methods,two linear programming models are established firstly,and the attribute weights are derived by solving two models.And then based on a possibility degree formula for comparing two triangular fuzzy numbers and a formula for priorities of triangular fuzzy numbers,the decision alternatives are ranked.Finally,a numerical example shows the feasibility and effectiveness of the two methods.