Design of Hierarchical and Non-Hierarchical Systems Using Fuzzy Compromise Decision Support Problems

能够将大型工程系统分解为较小的子系统，这些子系统可以独立（但同时）设计并集成为一个整体，其重要性怎么强调也不为过。许多用于分析分解系统的算法要求所有的变量、约束、目标和子系统之间的联系都被精确地识别和严格地指定。在实践中，这种对系统和子系统极其严格的定义通常是无法实现的。本研究的目的是建立一种基于模糊集合理论所体现的原理的系统分析与综合方法；一种数学方法，用来严格地模拟不精确。具体地说，模糊集理论的数学将被纳入问题的层次和非层次分解和再合成的方法。由此产生的程序将被整合，以提供一个强大的工具，通过模糊设计环境中的层次和/或非层次分解来影响复杂工程系统的设计。

The importance of being able to decompose a large-scale engineering system into smaller subsystems which may be designed independently (yet concurrently) and integrated into a whole cannot be overemphasized. Many algorithms for the analysis of decomposed systems require that all variables, constraints, objectives and linkages between subsystems be precisely identified and rigorously specified. In practice, this extremely rigorous definition of the system and subsystems is often unattainable. The objective of this research is to develop a method of system analysis and synthesis based on the principles embodied in fuzzy set theory; a mathematical approach that has been developed to model imprecision rigorously. Specifically, the mathematics of fuzzy set theory will be incorporated into methods for hierarchical and non-hierarchical decomposition and resynthesis of problems. The resulting procedures will be integrated to provide a powerful tool for effecting the design of complex engineering systems through hierarchic and/or non-hierarchic decomposition in a fuzzy design environment.