The Fuzzy Point Syntheses of Mechanisms

本课题将模糊集理论与机构优化设计的选择精度综合方法相结合。这一努力将使机构设计者能够有效地解决带有模糊信息的问题。本课题将研究具有特定模糊运动信息的平面和空间机构的问题。问题将被表述为非线性优化问题，这些问题将使用广义简化梯度优化方法的改进形式来解决。对该优化方法的改进涉及到其处理模糊数的能力。这项工作很重要，因为它将在存在不精确数据的情况下推进最佳机构设计的知识库，并可能为模糊集理论的其他工程应用打开大门。

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.