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An interactive fuzzy satisficing method based on variance minimization under expectation constraints for multiobjective stochastic linear programming problems
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DOI：10.1007/s00500-010-0540-z.png)
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In this paper, we focus on multiobjective linear programming problems involving random variable coefficients in objective functions and constraints. Using the concept of chance constrained conditions, such multiobjective stochastic linear programming problems are transformed into deterministic ones based on the variance minimization model under expectation constraints. After introducing fuzzy goals to reflect the ambiguity of the decision maker's judgements for objective functions, we propose an interactive fuzzy satisficing method to derive a satisficing solution for them as a fusion of the stochastic programming and the fuzzy one. The application of the proposed method to an illustrative numerical example shows its usefulness.
Keyword:
Multiobjective linear programming
Stochastic programming
Interactive fuzzy satisficing method
Expectation optimization
Variance minimization
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2.5
论文数:
1.0W
被引数:
2.1W
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分享收藏An interactive fuzzy satisficing method for multiobjective stochastic linear programming problems through an expectation model通过期望模型求解多目标随机线性规划问题的交互式模糊满足方法
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