A theoretical development on the entropy of interval-valued fuzzy sets based on the intuitionistic distance and its relationship with similarity measure
A theoretical development on the entropy of interval-valued fuzzy sets based on the intuitionistic distance and its relationship with similarity measure
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DOI：
10.1016/j.knosys.2012.10.006
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发表时间：
2013-02
期刊：
影响因子：
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通讯作者：
B. Farhadinia
中科院分区：
文献类型：
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作者：
B. Farhadinia
在这篇贡献中，我们推广了基于直觉距离及其与相似性度量关系的区间值模糊集（IVFSs）熵的最新研究结果。直觉距离为ivfs熵提供了一种新的公理化定义。在这组新公理的基础上，我们还证明了ivfs的熵和相似测度可以一般地相互转换的一些定理。贡献的最后是推导出一个公式，该公式通过使用给定的ivfs熵来创建各种新熵。
In this contribution, we generalize recent results on the entropy of interval-valued fuzzy sets (IVFSs) based on the intuitionistic distance and its relationship with similarity measure. The intuitionistic distance provides us with a new axiomatic definition of entropy of IVFSs. Based on the set of new axioms, we also prove some theorems that entropy and similarity measure for IVFSs can be transformed by each other in a general way. The contribution ends by deriving a formula that creates a variety of new entropies by the use of given entropies of IVFSs.