Dynamic intuitionistic fuzzy multi-attribute decision making
Dynamic intuitionistic fuzzy multi-attribute decision making
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DOI：
10.1016/j.ijar.2007.08.008
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发表时间：
2008-04-01
影响因子：
3.9
通讯作者：
Yager, Ronald R.
中科院分区：
文献类型：
--
作者：
Xu, Zeshui;Yager, Ronald R.
研究了具有直觉模糊信息的动态多属性决策问题。定义了直觉模糊变量和不确定直觉模糊变量的概念，提出了两种新的集结算子：动态直觉模糊加权平均（DIFWA）算子和不确定动态直觉模糊加权平均（UDIFWA）算子.介绍了基于基本单位区间单调（BUM）函数的方法、基于正态分布的方法、基于指数分布的方法和基于平均年龄的方法来确定与这些算子相关联的权向量。提出了一种基于DIFWA算子的动态直觉模糊多属性决策方法（DIF-MADM）问题，其中关于属性值的所有决策信息采取在不同时期收集的直觉模糊数的形式，并基于UDIFWA算子为DIF开发了一个程序，区间不确定性下的多属性决策问题，所有关于属性值的决策信息都是在不同时期收集的区间直觉模糊数。最后，一个实际的案例来说明所开发的程序。(C)2007年爱思唯尔公司All rights reserved.
The dynamic multi-attribute decision making problems with intuitionistic fuzzy information are investigated. The notions of intuitionistic fuzzy variable and uncertain intuitionistic fuzzy variable are defined, and two new aggregation operators: dynamic intuitionistic fuzzy weighted averaging (DIFWA) operator and uncertain dynamic intuitionistic fuzzy weighted averaging (UDIFWA) operator are presented. Some methods, including the basic unit-interval monotonic (BUM) function based method, normal distribution based method, exponential distribution based method and average age method, are introduced to determine the weight vectors associated with these operators. A procedure based on the DIFWA operator is developed to solve the dynamic intuitionistic fuzzy multi-attribute decision making (DIF-MADM) problems where all the decision information about attribute values takes the form of intuitionistic fuzzy numbers collected at different periods, and a procedure based on the UDIFWA operator is developed for DIF-MADM under interval uncertainty in which all the decision information about attribute values takes the form of interval-valued intuitionistic fuzzy numbers collected at different periods. Finally, a practical case is used to illustrate the developed procedures. (C) 2007 Elsevier Inc. All rights reserved.