An interactive fuzzy satisficing method based on variance minimization under expectation constraints for multiobjective stochastic linear programming problems

作者：Kato Kosuke^*; Sakawa Masatoshi

来源：Soft Computing, 2011, 15(1): 131-138.

DOI：10.1007/s00500-010-0540-z

• Multiobjective linear programming
• Stochastic programming
• Interactive fuzzy satisficing method
• Expectation optimization
• Variance minimization

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.

• 出版日期2011-1