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Upper and lower general aggregation operators based on a strong fuzzy metric

机译：基于强模糊度量的上下通用聚合算子

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The paper deals with general aggregation operators, which allow aggregate fuzzy sets taking into account the distance between elements of the universe given by a strong fuzzy metric. We introduce upper and lower aggregation operators based on an ordinary aggregation operator, t-norm and fuzzy metric. By using a strong fuzzy metric we include in the construction of such operators an additional parameter, which allows to develop the technique of aggregation. Finally, we consider upper and lower aggregation in the case when the applied fuzzy metric is induced by multiple usual metrics obtained accordingly to multiple criteria evaluation of elements of the universe.
机译：本文讨论了一般的聚合算子，这些算子允许考虑到强模糊度量给出的宇宙元素之间的距离的聚合模糊集。我们基于普通的聚合算子，t-范数和模糊度量引入上下聚合算子。通过使用强模糊度量，我们在此类算子的构造中包括了一个附加参数，该参数可用于开发聚合技术。最后，当应用的模糊度量是由对应于宇宙元素的多个标准评估而获得的多个常用度量引起的时，我们考虑上下聚合。

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