| 概念设计中基于扩展功能矩阵的功能求解方法 |
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| 引用本文： | 刘晓平,唐益明,秦晋,路强.概念设计中基于扩展功能矩阵的功能求解方法[J].计算机辅助设计与图形学学报,2007,19(12):1610-1617. |
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| 作者姓名： | 刘晓平 唐益明 秦晋 路强 |
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| 作者单位： | 合肥工业大学计算机与信息学院可视化与协同计算(VCC)研究室,合肥,230009;合肥工业大学计算机与信息学院可视化与协同计算(VCC)研究室,合肥,230009;合肥工业大学计算机与信息学院可视化与协同计算(VCC)研究室,合肥,230009;合肥工业大学计算机与信息学院可视化与协同计算(VCC)研究室,合肥,230009 |
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| 摘 要： | 提出了功能矩阵的概念,在证明功能矩阵的代数系统与布尔代数析取合取代数系统同构的基础上,对功能矩阵进行扩展,并证明了扩展功能矩阵的展开定理;利用扩展功能矩阵逐步展开与约简,实现了功能的求解算法.最后通过实例证明:该方法有效地缩减了解空间,提高了效率,同时对于概念设计中创新冲突的检测与定位起到了积极的推动作用.
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| 关 键 词： | 概念设计 功能树 布尔代数 扩展功能矩阵 |
| 收稿时间： | 2007-03-18 |
| 修稿时间： | 2007-06-27 |
A Function-Solving Method Based on Extended Function Matrix in Conceptual Design |
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| Liu Xiaoping,Tang Yiming,Qin Jin,Lu Qiang.A Function-Solving Method Based on Extended Function Matrix in Conceptual Design[J].Journal of Computer-Aided Design & Computer Graphics,2007,19(12):1610-1617. |
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| Authors: | Liu Xiaoping Tang Yiming Qin Jin Lu Qiang |
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| Abstract: | A concept of function matrix is put forward.With proving the isomorph between the function matrix algebra systems and the Boolean algebra's disjunction-conjunction systems,a method of extending the function matrix is proposed,and the expanding theorem of the extended function matrix is proven.By expanding and reducing the extended function matrix step by step,a function-solving algorithm is presented and realized.Experimental results show that the algorithm effectively downsizes the solution space,improves function-solving efficiency and promotes innovation conflicts' detection and orientation in conceptual design. |
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| Keywords: | conceptual design function tree Boolean algebra extended function matrix |
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