A solution for generalized eigen fuzzy sets equations by genetic algorithms and its application to image analysis

机译：遗传算法求解广义本征模糊集方程及其在图像分析中的应用

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For image analysis based on ordered structure, generalized eigen fuzzy equations are proposed by a convex combination of max-min and min-max composite eigen fuzzy sets equations. In order to find solutions of the generalized eigen fuzzy sets equation, a solving method based on genetic algorithm is proposed. Through experiments using test images extracted from 'View Sphere Database', flexibility of the proposed solution for the generalized eigen fuzzy equations is confirmed.

机译：对于基于有序结构的图像分析，通过最大-最小和最小-最大复合本征模糊集方程的凸组合，提出了广义本征模糊方程。为了找到广义本征模糊集方程的解，提出了一种基于遗传算法的求解方法。通过使用从“ View Sphere Database”中提取的测试图像进行实验，确认了所提出的广义本征模糊方程解的灵活性。

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《Intelligent Systems, 2004. Proceedings. 2004 2nd International IEEE Conference》|2004年|p.208-212|共5页
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作者
Nobuhara; H.; Iyoda; E.M.; Bede; B.; Hirota; K.;
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中图分类无线电电子学、电信技术;
关键词
image processing; fuzzy set theory; eigenvalues and eigenfunctions; genetic algorithms; eigen fuzzy sets; genetic algorithms; image analysis; eigen fuzzy equations; View Sphere Database; fuzzy relation;

机译：图像处理;模糊集理论;特征值和特征函数;遗传算法;特征模糊集;遗传算法;图像分析;特征模糊方程;视野球数据库;模糊关系;

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专利

1. On various eigen fuzzy sets and their application to image reconstruction [J] . Nobuhara H, Bede B, Hirota K Information Sciences: An International Journal . 2006,第20期

机译：关于各种特征模糊集及其在图像重建中的应用
2. Algorithmic framework for group analysis of differential equations and its application to generalized Zakharov-Kuznetsov equations [J] . Huang Ding-jiang, Ivanova Nataliya M. Journal of Differential Equations . 2016,第3期

机译：微分方程组分析的算法框架及其在广义Zakharov-Kuznetsov方程中的应用
3. Structural analysis of Pareto-optimal solution sets for multi-objective optimization: An application to outer window design problems using Multiple Objective Genetic Algorithms [J] . Kentaro Suga, Shinsuke Kato, Kyosuke Hiyama Building and Environment . 2010,第5期

机译：多目标优化的帕累托最优解集的结构分析：使用多目标遗传算法的外窗设计问题的应用
4. A solution for generalized eigen fuzzy sets equations by genetic algorithms and its application to image analysis [C] . Nobuhara H., Iyoda E.M., Bede B., International IEEE Conference Intelligent Systems . 2004

机译：遗传算法的广义特征模糊集方程的解决方案及其应用于图像分析
5. Generalized scale: Theory, algorithms, and applications in image analysis. [D] . Madabhushi, Anant. 2004

机译：广义比例尺：理论，算法和在图像分析中的应用。
6. Testing for Association with Multiple Traits in Generalized Estimation Equations With Application to Neuroimaging Data [O] . Yiwei Zhang, Zhiyuan Xu, Xiaotong Shen, -1

机译：在广义估计方程中测试与多个特征的关联并将其应用于神经影像数据
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A solution for generalized eigen fuzzy sets equations by genetic algorithms and its application to image analysis

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