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Reliability Modeling and Optimization Using Fuzzy Logic and Chaos Theory

机译：基于模糊逻辑和混沌理论的可靠性建模与优化

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Fuzzy sets membership functions integrated with logistic map as the chaos generator were used to create reliability bifurcations diagrams of the system with redundancy of the components. This paper shows that increasing in the number of redundant components results in a postponement of the moment of the first bifurcation which is considered as most contributing to the loss of the reliability. The increasing of redundancy also provides the shrinkage of the oscillation orbit of the level of the system's membership to reliable state. The paper includes the problem statement of redundancy optimization under conditions of chaotic behavior of influencing parameters and genetic algorithm of this problem solving. The paper shows the possibility of chaos-tolerant systems design with the required level of reliability.
机译：将模糊集隶属度函数与逻辑映射作为混沌生成器集成在一起，用于创建具有组件冗余的系统可靠性分叉图。本文表明，冗余组件数量的增加会导致第一次分叉的时间推迟，这被认为是造成可靠性损失的最大原因。冗余的增加还使系统成员级别的振荡轨道缩减到可靠状态。包括影响参数混沌行为条件下的冗余优化问题陈述和该问题的遗传算法。本文显示了具有所需可靠性水平的容错系统设计的可能性。

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    Alexander Rotshtein; Denys Katielnikov; Ludmila Pustylnik;

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    Department of Industrial Engineering and Management, Jerusalem College of Technology-Machon Lev, Jerusalem 91160, Israel;

    Department of Information Technology and Computer Engineering, Vinnytsia National Technical University,Vinnitsia 21021, Ukraine;

    Department of Mechanical Engineering, Afeka- Tel Aviv Academic College of Engineering, Tel Aviv 69107, Israel;

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