The Fuzzy Point Syntheses of Mechanisms

本研究计画涉及模糊集合的整合 理论与最优选择精度综合法 机构设计 这一努力将使机制设计者能够 有效地解决了模糊信息带来的问题。 平面和空间机构的问题 模糊运动信息将在本项目中进行研究。 问题将被公式化为非线性优化问题 这将使用广义 最优化的缩减梯度法。 对此的修改 优化方法涉及其处理模糊数的能力。 这项工作很重要，因为它将促进知识基础 在不精确数据的情况下进行最佳机构设计， 可以打开大门，为额外的工程应用， 模糊集合论

This research project involves the integration of fuzzy set theory with the selective precision synthesis method of optimum mechanism design. This effort will enable mechanism designers to effectively solve problems that are posed with fuzzy information. Problems dealing with planar and spatial mechanisms with specified fuzzy motion information will be investigated in this project. Problems will be formulated as nonlinear optimization problems which will be solved using a modified form of the generalized reduced gradient method of optimization. The modification to this optimization method involves its ability to handle fuzzy numbers. This work is important because it will advance the knowledge base in optimum mechanism design in the presence of imprecise data and may open the door for additional engineering applications for the fuzzy set theory.