In this study, three non-linear indices consist of compression, one-dimensional (1D) and two-dimensional (2D) fractal dimensions are used for the determination of the malignancy or benignity of cancer tumours in breast thermograms. On the other hand, by developing the high-precision infrared cameras as well as new methods of image processing, biomedical thermography images have found a prominent position among the others. Furthermore, cancerous tissue can be affected by the laser. In this study, in order to treat the cancerous lesion identified by breast thermograms, the laser parameters are designed. The basis of controller designing is the obtained non-linear indices. If the indices are moved from the chaotic behaviour to normal condition, the treating tissue is going from cancerous to a healthy condition and the treatment process is completed. Radiation frequency and the energy density of laser are designed as two key elements in the cancer treatment. In this study, the type I and type II fuzzy controllers are employed for the control strategies. Using the proposed closed-loop control, the non-linear indices of the cancerous lesion will be reduced during the treatment process. The simulation results on two datasets of breast thermograms indicate the superiority of type II fuzzy controller.

中文翻译：

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基于分形维数的乳腺癌治疗模糊控制器设计

在这项研究中，三个非线性指标由压缩、一维 (1D) 和二维 (2D) 分形维数组成，用于确定乳腺热成像图中癌症肿瘤的恶性或良性。另一方面，通过开发高精度红外相机以及图像处理新方法，生物医学热成像图像在众多领域中占据突出地位。此外，癌组织会受到激光的影响。在本研究中，为了治疗乳腺热像图识别的癌性病变，设计了激光参数。控制器设计的基础是获得的非线性指标。如果指标从混乱行为转移到正常状态，则治疗组织正在从癌变到健康状态，并且治疗过程完成。辐射频率和激光的能量密度被设计为癌症治疗中的两个关键要素。在这项研究中，I 型和 II 型模糊控制器用于控制策略。使用所提出的闭环控制，癌病变的非线性指数将在治疗过程中降低。两个乳腺热像图数据集的仿真结果表明了Ⅱ型模糊控制器的优越性。