Abstract Most of the existing multi-source fusion methods are to choose the most reliable information from the multi-source information system to form a single-source information system. Obviously, this process is accompanied by information loss. In order to solve this problem, the multi-granulation method of information fusion in multi-source decision information system is studied in this paper. Firstly, decision support characteristic function and decision related characteristic function are constructed. Secondly, a pair of aggregation operators, including fixed aggregation operator and possible aggregation operator, is defined through two characteristic functions. Meanwhile, the two cases when thresholds α and β take special values are discussed. Finally, the relevant properties of aggregation operators in different situations are proposed and proved. What is more, two groups of comparative experiments are carried out to illustrate the effect of the aggregation operators. The experimental results show that the proposed multi-source fusion method can always find a set of thresholds ( α , β ) , which makes the fusion effect better than the mean fusion.

中文翻译：

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多源决策信息系统中信息融合的多粒度方法

摘要 现有的多源融合方法大多是从多源信息系统中选择最可靠的信息，形成单源信息系统。显然，这个过程伴随着信息的丢失。为了解决这个问题，本文研究了多源决策信息系统中信息融合的多粒度方法。首先构建决策支持特征函数和决策相关特征函数。其次，通过两个特征函数定义了一对聚合算子，包括固定聚合算子和可能聚合算子。同时，讨论了阈值α和β取特殊值的两种情况。最后，提出并证明了聚合算子在不同情况下的相关性质。此外，还进行了两组对比实验来说明聚合算子的效果。实验结果表明，所提出的多源融合方法总能找到一组阈值（α，β），使得融合效果优于均值融合。