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隶属均衡原则及其在模糊线性规划中的应用
Membership-balanced principle and its application in fuzzy linear programming
【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。
【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.
【Key words】 fuzzy numbers; triangular fuzzy numbers; membership-balanced principle; membership-balanced operator; system of fuzzy linear equations;
- 【文献出处】 河北科技大学学报 ,Journal of Hebei University of Science and Technology , 编辑部邮箱 ,2006年03期
- 【分类号】O221.1
- 【被引频次】1
- 【下载频次】66