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Continuous interval-valued intuitionistic fuzzy aggregation operators and their applications to group decision making

机译：连续区间直觉模糊聚合算子及其在群体决策中的应用

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摘要

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 (IF0WA) operator and the continuous ordered weighted averaging (C-0WA) 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-IVIF0WA) operator, the ordered weighted (OWC-1VIFOWA) 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.
机译：在本文中，我们引入了一个新的算子，称为连续区间值直觉模糊有序加权平均（C-IVIFOWA）运算符，用于汇总区间值直觉模糊值。它通过控制参数将直觉模糊有序加权平均算子（IF0WA）和连续有序加权平均算子（C-0WA）结合起来，可以用来减少模糊性并提高决策的准确性。我们进一步将C-IVIFOWA运算符应用于多个区间值直觉模糊值的聚合，并获得广泛的聚合运算符，包括加权C-IVIFOWA（WC-IVIF0WA）运算符，有序加权（OWC-1VIFOWA）运算符和组合的C-IVIFOWA（CC-IVIFOWA）运算符。研究了这些算子的一些理想特性。最后，我们给出一个数值例子来说明这些算子在区间值直觉模糊环境下的群体决策中的应用。

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