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Local Search-Inspired Rough Sets for Improving Multiobjective Evolutionary Algorithm

Applied Mathematics 2014年第13期5卷 1993-2007页

作者： Ahmed A. el-Sawy Mohamed A. Hussein el-sayed Mohamed zaki Abd Allah A. Mousa Department of Basic Engineering Sciences Faculty of Engineering Menoufia University Shibin El-Kom Egypt Department of Mathematics Faculty of Science Qassim University Buraydah Saudi Arabia Department of Mathematics Faculty of sciences Taif University Taif Saudi Arabia

In this paper we present a new optimization algorithm, and the proposed algorithm operates in two phases. In the first one, multiobjective version of genetic algorithm is used as search engine in order to generate approximate true Pareto front. This algorithm is based on concept of co-evolution and repair algorithm for handling nonlinear constraints. Also it maintains a finite-sized archive of non-dominated solutions which gets iteratively updated in the presence of new solutions based on the concept e-dominance. Then, in the second stage, rough set theory is adopted as local search engine in order to improve the spread of the solutions found so far. The results, provided by the proposed algorithm for benchmark problems, are promising when compared with exiting well-known algorithms. Also, our results suggest that our algorithm is better applicable for solving real-world application problems.

关键词： Multiobjective Optimization Genetic Algorithms Rough Sets Theory

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Total Peritoneal Gutter Removal versus Random Peritoneal Biopsy in Cases of Ovarian Cancer

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Open Journal of Obstetrics and Gynecology 2021年第10期11卷 1342-1350页

作者： Ahmed Abdel-Azeem Essmat Mahmoud el-sayed Meleis Helmy Abdel-Sattar Rady Inass Ibrahim Ahmed zaki Ahmed Shaaban Ali Ragab Khattab Department of Obstetrics and Gynecology Faculty of Medicine Alexandria University Alexandria Egypt Department of Pathology Faculty of Medicine Alexandria University Alexandria Egypt

Introduction: Ovarian cancer is the fourth most prevalent cancer among women and the seventh most common cancer overall. Every year, an estimated 200,000 cases and 125,000 deaths related to ovarian cancer are reported around the world. It is most common in high-resource countries, with an incidence rate of 9.3 per 100,000 women. Ovarian cancer is detected at an advanced stage in about 70% of instances, and only 30% of women with such cancers live for more than 5 years. Although only around 20% of ovarian cancers are limited to the ovaries at diagnosis, patients with localized disease have a 5-year survival rate of more than 90%. Peritonectomy is a crucial part of the surgical treatment for ovarian cancer. Visual inspection and palpation are not reliable methods for determining the extent of tumour involvement. The majority of gynecologic oncologists are suspicious about the benefits of a full peritonectomy, concerned about the benefits and hazards. They believe that the tumor’s fundamental biology, not surgical aggressiveness, dictates the tumor’s resectability. The aim of this work was primarily to compare the differences between total peritoneal gutter removal and random peritoneal biopsy in cases of early ovarian cancer. A secondary aim of this work is to show ability of total peritoneal gutter removal in relation to that of random peritoneal biopsy to detect positivity of metastasis in the histopathological specimens. Patients and Methods: This prospective cohort study was conducted on 130 patients with early ovarian cancer in el-Shatby hospital, Faculty

关键词： Pelvic Peritonectomy Gutter Resection Ovarian Cancer

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Adaptive Boundary Control for the Dynamics of the Generalized Burgers-Huxley Equation

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Open Journal of Applied Sciences 2022年第8期12卷 1416-1438页

作者： zaki Mrzog Alaofi Talaat sayed Ali Faisal Abd Alaal Silvestru Sever Dragomir Department of Mathematics College of Science and Arts King Khalid University Muhayil Asir Saudia Arabia Mathematics College of Engineering & Science Victoria University Melbourne Australia Department of Mathematics and Computer Science Faculty of Science Menoufia University Shebeen El-Kom Egypt Department of Mathematics Faculty of Science Damanhour University Damanhour Egypt

This paper deals with the boundary control problem of the unforced generalized Burgers-Huxley equation with high order nonlinearity when the spatial domain is [0, 1]. We show that this type of equations are globally exponential stable in L2 [0, 1] under zero Dirichlet boundary conditions. We use an adaptive nonlinear boundary controller to show the convergence of the solution to the trivial solution and to show that it achieves global asymptotic stability in time. We introduce numerical simulation for the controlled equation using the Adomian decomposition method (ADM) in order to illustrate the performance of the controller.

关键词： Adaptive Boundary Control Generalized Burgers-Huxley Equation Stability Adomian Decomposition Method

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