An entropy measure definition for finite interval-valued hesitant fuzzy sets
An entropy measure definition for finite interval-valued hesitant fuzzy sets
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DOI：
10.1016/j.knosys.2015.04.005
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发表时间：
2015-08
期刊：
影响因子：
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通讯作者：
Pelayo Quirós;P. Alonso;H. Bustince;Irene Díaz;S. Montes
中科院分区：
文献类型：
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作者：
Pelayo Quirós;P. Alonso;H. Bustince;Irene Díaz;S. Montes
本文研究了在区间值犹豫模糊环境下熵的定义，取代了经典模糊逻辑或区间值模糊逻辑。由于这类集合的性质更复杂，熵由三个不同的函数构建，其中每个函数代表不同的度量：模糊性、缺乏知识和犹豫。利用所有，得到了区间值犹豫模糊集的熵测度，量化了各种不确定性。从这个定义出发，为了更容易地得到这样的函数，已经为每个形成熵度量的映射开发了几个结果，因此，允许以更简单的方式获得这个新熵。
In this work, a definition of entropy is studied in an interval-valued hesitant fuzzy environment, instead of the classical fuzzy logic or the interval-valued one. As the properties of this kind of sets are more complex, the entropy is built by three different functions, where each one represents a different measure: fuzziness, lack of knowledge and hesitance. Using all, an entropy measure for interval-valued hesitant fuzzy sets is obtained, quantifying various types of uncertainty.From this definition, several results have been developed for each mapping that shapes the entropy measure in order to get such functions with ease, and as a consequence, allowing to obtain this new entropy in a simpler way.