Construction of fuzzy indices from fuzzy DI-subsethood measures: Application to the global comparison of images
Construction of fuzzy indices from fuzzy DI-subsethood measures: Application to the global comparison of images
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DOI：
10.1016/j.ins.2006.07.021
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发表时间：
2007-02-01
影响因子：
8.1
通讯作者：
Barrenechea, E.
中科院分区：
文献类型：
--
作者：
Bustince, H.;Pagola, M.;Barrenechea, E.
提出了模糊集比较的两种方法。从模糊DI-子集测度出发，研究了构造这些测度的方法（见[H. Bustince，V. Mohedano，E. Barrenechea，M. Pagola，Definition and construction of fuzzy DI-subsethood measures，Information Sciences 176（2006）3190-3231]）。然后，我们分析和比较所满足的措施和其他经典的模糊集文献中使用的指标所满足的属性。最小的一组条件进行了研究，从我们的角度来看，必须满足任何给定的措施比较图像。我们还证明，只有一个确定的措施满足这些条件。最后，所有的措施研究被施加到不同的图像和结果进行了分析，表明从模糊DI-子集措施构造的措施提供了最好的结果。(C)2006年爱思唯尔公司All rights reserved.
Two measures are presented for comparing fuzzy sets. The method for constructing these measures is studied, starting from fuzzy DI-subsethood measures (see [H. Bustince, V. Mohedano, E. Barrenechea, M. Pagola, Definition and construction of fuzzy DI-subsethood measures, Information Sciences 176 (2006) 3190-3231]). We then analyze and compare the properties satisfied by the measures and those satisfied by other classical indices used in the literature on fuzzy sets. The minimal set of conditions are studied that, from our point of view, must be met by any given measure for comparing images. We also prove that only one of the measures identified fulfills such conditions. Finally, all the measures studied are applied to different images and the results are analyzed, indicating that measures constructed from fuzzy DI-subsethood measures provide the best results. (C) 2006 Elsevier Inc. All rights reserved.