An Interactive Satisficing Method through the Variance Minimization Model for Fuzzy Random Multiobjective Linear Programming Problems
An Interactive Satisficing Method through the Variance Minimization Model for Fuzzy Random Multiobjective Linear Programming Problems
复制标题
模糊随机多目标线性规划问题的方差最小化交互式满意方法
DOI：
10.1007/978-3-540-36510-5_23
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
Shuuji Ohsaki
中科院分区：
文献类型：
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作者：
H. Katagiri;M. Sakawa;Shuuji Ohsaki
本文研究了一类包含模糊随机变系数的多目标线性规划问题。为每个目标函数引入一个模糊目标，重点研究每个目标函数满足相应模糊目标的可能性程度。由于可能性度是随机变化的，我们基于随机规划，提出了最小化可能性度方差的多目标问题。为了寻找决策者满意的解决方案，我们提出了一种基于参考点法的交互式满意方法。
In this paper, we consider a multiobjective linear programming problem involving fuzzy random variable coefficients. Introducing a fuzzy goal for each objective function, we focus on a degree of possibility that each objective function satisfies the corresponding fuzzy goal. Since the degree of possibility varies randomly, we formulate the multiobjective problem to minimize the variances of degrees of possibility based on stochastic programming. In order to find a satisficing solution for a decision maker, we propose an interactive satisficing method based on the reference point method.