系统工程与电子技术

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区间三角模糊软集及其动态决策方法

陈孝国1,2, 杜红2   

  1. (1. 中国矿业大学(北京)力学与建筑工程学院, 北京 100083;
    2. 黑龙江科技大学理学院, 黑龙江 哈尔滨 150022)
  • 出版日期:2015-04-23 发布日期:2010-01-03

Intervalvalued triangular fuzzy soft set and its method #br# of dynamic decision making

CHEN Xiaoguo1,2, DU Hong2   

  1. (1. School of Mechanics and Civil Engineering, China University of Mining & Technology, Beijing 100083,
    China; 2. School of Science, Heilongjiang University of Science and Technology, Harbin 150022, China)
  • Online:2015-04-23 Published:2010-01-03

摘要:

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。

Abstract:

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 triangular fuzzy soft set has been given by the aggregating thought, thereby aggregating different timeseries interval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 concluded, and some examples are given to explain the application of the method.