Construction of fuzzy indices from fuzzy DI-subsethood measures: Application to the global comparison of images

被引:146
作者
Bustince, H. [1 ]
Pagola, M. [1 ]
Barrenechea, E. [1 ]
机构
[1] Univ Publ Navarra, Dept Automat & Computac, Pamplona 31006, Spain
关键词
aggregation operations; equality index; fuzzy entropy; fuzzy similarity; fuzzy subsethood measures; image analysis; implication operator;
D O I
10.1016/j.ins.2006.07.021
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
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.
引用
收藏
页码:906 / 929
页数:24
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