摘要
主要目的是利用结构元方法来解决含有模糊系数的线性规划问题,即可能性线性规划问题.首先,简单地介绍了结构元方法及结构元加权序,证明了其模糊优先的合理性,并同原有序关系进行了比较.然后,利用这种序关系,将可能性线性规划问题等价地转化为一个经典的线性规划问题,简化了原问题的求解.最后,借助一个实际例子,进一步表明了该方法的有效性.
The main goal of this paper is to solve possibilistic linear programming by making use of the method of structured element.Firstly,the authors introduce the basic principle of structured element,the structured element weighted order（SEWO）,and prove the rationality of SEWO.Secondly,the authors transform possibilistic linear programming into a classical linear programming by using SEWO,and simplify solution of fuzzy linear programming.At last,the authors put forward an example.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第8期106-112,共7页
Mathematics in Practice and Theory
基金
教育部高校博士学科点专项科研基金(20102121110002)
关键词
模糊系数
可能性线性规划
结构元
序
fuzzy coefficient
possibilistic linear programming
structured element
order
