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区间三角模糊软集及其动态决策方法
引用本文:陈孝国,杜红.区间三角模糊软集及其动态决策方法[J].系统工程与电子技术,2015,37(5):1111-1115.
作者姓名:陈孝国  杜红
作者单位:(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)
基金项目:国家自然科学基金,黑龙江省自然科学基金(A201015)资助课题
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。

关 键 词:区间三角模糊软集  集成  动态决策  模糊软矩阵

Interval-valued triangular fuzzy soft set and its method of dynamic decision making
CHEN Xiao-guo,DU Hong.Interval-valued triangular fuzzy soft set and its method of dynamic decision making[J].System Engineering and Electronics,2015,37(5):1111-1115.
Authors:CHEN Xiao-guo  DU Hong
Institution:(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)
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.
Keywords:interval-valued triangular fuzzy soft set  aggregating  dynamic decision making  fuzzy soft matrix
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