Continuous interval-valued intuitionistic fuzzy aggregation operators and their applications to group decision making
Continuous interval-valued intuitionistic fuzzy aggregation operators and their applications to group decision making
复制标题
连续区间值直觉模糊聚合算子及其在群决策中的应用
DOI：
10.1016/j.apm.2013.10.036
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发表时间：
2014
影响因子：
5
通讯作者：
Liu Jinpei
中科院分区：
文献类型：
--
作者：
Zhou Ligang;Tao Zhifu;Chen Huayou;Liu Jinpei
在本文中，我们引入了一个新的算子称为连续的区间值直觉模糊有序加权平均（C-IVIFOWA）算子集结的区间值直觉模糊值。该方法通过引入一个控制参数，将直觉模糊有序加权平均（IFOWA）算子和连续有序加权平均（C-OWA）算子有机地结合在一起，以减小模糊性，提高决策的准确性。进一步将C-IVIFOWA算子应用于多区间直觉模糊值的集结，得到了一系列的集结算子，包括加权C-IVIFOWA（WC-IVIFOWA）算子、有序加权C-IVIFOWA（OWC-IVIFOWA）算子和组合C-IVIFOWA（CC-IVIFOWA）算子.这些运营商的一些理想的性质进行了研究。最后，通过一个数值例子说明了这些算子在区间直觉模糊环境下群决策问题中的应用。
In this paper, we introduce a new operator called the continuous interval-valued intuitionistic fuzzy ordered weighted averaging (C-IVIFOWA) operator for aggregating the interval-valued intuitionistic fuzzy values. It combines the intuitionistic fuzzy ordered weighted averaging (IFOWA) operator and the continuous ordered weighted averaging (C-OWA) operator by a controlling parameter, which can be employed to diminish fuzziness and improve the accuracy of decision making. We further apply the C-IVIFOWA operator to the aggregation of multiple interval-valued intuitionistic fuzzy values and obtain a wide range of aggregation operators including the weighted C-IVIFOWA (WC-IVIFOWA) operator, the ordered weighted (OWC-IVIFOWA) operator and the combined C-IVIFOWA (CC-IVIFOWA) operator. Some desirable properties of these operators are investigated. And finally, we give a numerical example to illustrate the applications of these operators to group decision making under interval-valued intuitionistic fuzzy environment.