| 隶属均衡原则及其在模糊线性规划中的应用 |
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| 引用本文： | 张治军,李法朝.隶属均衡原则及其在模糊线性规划中的应用[J].河北科技大学学报,2006,27(3):189-192,208. |
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| 作者姓名： | 张治军 李法朝 |
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| 作者单位： | 河北科技大学理学院,河北石家庄,050018;河北科技大学理学院,河北石家庄,050018;河北科技大学经济管理学院,河北石家庄,050018 |
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| 基金项目： | 河北省博士科研项目
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河北省科技攻关项目
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国家重点基础研究发展计划(973计划) |
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| 摘 要： | 结合模糊数的结构特征,提出了在割补比概念的基础上把一般模糊数规范为三角模糊数的隶属均衡原则,并针对割补比为1的情形给出了三角化隶属均衡算子的具体形式,进而在分析三角化隶属均衡算子的运算性质基础上,建立了一种可操作性较强的模糊线性方程组求解模型,给出模型求解的具体实施步骤。该讨论将为进一步开发实用的模糊信息综合处理技术奠定基础。
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| 关 键 词： | 模糊数 三角模糊数 隶属均衡原则 隶属均衡算子 模糊线性方程 |
| 文章编号： | 1008-1542(2006)03-0189-04 |
| 收稿时间： | 2005/11/25 0:00:00 |
| 修稿时间： | 2005年11月25 |
Membership-balanced principle and its application in fuzzy linear programming |
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| ZHANG Zhi-jun and LI Fa-chao.Membership-balanced principle and its application in fuzzy linear programming[J].Journal of Hebei University of Science and Technology,2006,27(3):189-192,208. |
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| Authors: | ZHANG Zhi-jun and LI Fa-chao |
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| Institution: | College of Sciences,Hebei University of Science and Technology,Shijiazhuang Hebei 050018,China;College of Sciences,Hebei University of Science and Technology,Shijiazhuang Hebei 050018,China |
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| Abstract: | According to the stuctural characterisitics of fuzzy number,a principle which standardizes general fuzzy numbers to triangular ones based on the concept of cut-complement ratio is proposed.The concrete form of membership-balanced operator for triangularization is given for the case of cut-complement ratio being 1.After analyzing the operational properties of a membership-balanced operator for triangularization,a model to solve a system of fuzzy linear equations is established,and the specific operation procedures of the modeling are put forward.All of these will help to develop useful techniques to process synthesizedly fuzzy information. |
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| Keywords: | fuzzy numbers triangular fuzzy numbers membership-balanced principle membership-balanced operator system of fuzzy linear equations |
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