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On the properties of regular increasing monotone (RIM) quantifiers with maximum entropy

机译:具有最大熵的正则递增单调(RIM)量词的性质

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摘要

Compared with the large number of research papers dealing with the ordered weighted averaging (OWA) operators, the research on relative quantifiers has been relatively sparse so far. With the quantifier guided aggregation method of OWA operators and the generating function representation of regular increasing monotone (RIM) quantifiers, a parameterized RIM quantifier family with the maximum entropy principle is proposed. This quantifier family can be regarded as the continuous case of the commonly used maximum entropy OWA (MEOWA) operator. Like the MEOWA operator, the RIM quantifier with maximum entropy generating function also possesses some interesting properties. One of them is that the aggregation value for any aggregated set always monotonically increases with the orness level. This can be used to represent the decision maker's preference information, but with free dimension.
机译:与大量有关有序加权平均(OWA)运算符的研究论文相比,到目前为止,相对量词的研究相对较少。利用OWA算子的量词指导聚合方法,以及正则递增单调(RIM)量词的生成函数表示,提出了具有最大熵原理的参数化RIM量词族。该量词族可以视为常用最大熵OWA(MEOWA)运算符的连续情况。像MEOWA运算符一样,具有最大熵生成函数的RIM量词也具有一些有趣的属性。其中之一是,任何聚合集的聚合值总是随orness级别单调增加。这可以用来表示决策者的偏好信息,但可以自由标注。

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