区间三角模糊软集及其动态决策方法

Interval-valued triangular fuzzy soft set and its method of dynamic decision making

为完善模糊软集理论,提出区间三角模糊软集的概念,并讨论其相关运算及性质。建立基于区间三角模糊软集的动态决策模型,其中,时间权重采用指数衰减方法进行确定,利用集成的思想定义了区间三角模糊软集算术加权平均算子,将不同时刻的区间三角模糊软集集成为综合区间三角模糊软集。给出不同对象选择值和决策值的求解公式,根据决策值大小来实现最优决策。最后总结出方法的具体步骤,并通过实例说明具体应用。

The concept of interval-valued triangular fuzzy soft set is presented and the relative operations and properties are discussed for improving the fuzzy soft theory. A dynamic decision making model is established based on the definition of interval-valued triangular fuzzy soft set, in which the determination of period weights is by the use of exponential decay method, and the arithmetic weighted average operator of interval-valued trian- gular fuzzy soft set has been given by the aggregating thought, thereby aggregating different time series inter- val-valued triangular fuzzy soft sets into a collective interval valued triangular fuzzy soft set. The formulas of different objects selection and decision-making value have been given, therefore the optimal decision-making is achieved according to the size of the decision values. Finally, the steps of the proposed method have been con- cluded, and some examples are given to explain the application of the method.