Toward fuzzy optimization without mathematical ambiguity

被引:34
作者
Liu B. [1 ]
机构
[1] Uncertain Systems Laboratory, Department of Mathematical Sciences, Tsinghua University
基金
中国国家自然科学基金;
关键词
Fuzzy programming; Fuzzy simulation; Genetic algorithm; Neural network;
D O I
10.1023/A:1013771608623
中图分类号
学科分类号
摘要
Fuzzy programming has been discussed widely in literature and applied in such various disciplines as operations research, economic management, business administration, and engineering. The main purpose of this paper is to present a brief review on fuzzy programming models, and classify them into three broad classes: expected value model, chance-constrained programming and dependent-chance programming. In order to solve general fuzzy programming models, a hybrid intelligent algorithm is also documented. Finally, some related topics are discussed. © 2002 Kluwer Academic Publishers.
引用
收藏
页码:43 / 63
页数:20
相关论文
共 42 条
  • [1] Bouchon-Meunier B., Kreinovich V., Lokshin A., Nguyen H.T., On the formulation of optimization under elastic constraints (with control in mind), Fuzzy Sets and Systems, 81, 1, pp. 5-29, (1996)
  • [2] Buckley J.J., Possibility and Necessity in Optimization, Fuzzy Sets and Systems, 25, pp. 1-13, (1988)
  • [3] Buckley J.J., Stochastic Versus Possibilistic Programming, Fuzzy Sets and Systems, 34, pp. 173-177, (1990)
  • [4] Buckley J.J., Multiobjective Possibilistic Linear Programming, Fuzzy Sets and Systems, 35, pp. 23-28, (1990)
  • [5] Buckley J.J., Hayashi Y., Fuzzy Genetic Algorithm and Applications, Fuzzy Sets and Systems, 61, pp. 129-136, (1994)
  • [6] Buckley J.J., Feuring T., Evolutionary Algorithm Solution to Fuzzy Problems: Fuzzy Linear Programming, Fuzzy Sets and Systems, 109, pp. 35-53, (2000)
  • [7] Charnes A., Cooper W.W., Chance-constrained Programming, Management Science, 6, pp. 73-79, (1959)
  • [8] Dubois D., Prade H., Possibility Theory, (1988)
  • [9] Inuiguchi M., Ichihashi H., Kume Y., Modality Constrained Programming Problems: An Unified Approach to Fuzzy Mathematical Programming Problems in the Setting of Possibility Theory, Information Science, 67, pp. 93-126, (1993)
  • [10] Inuiguchi M., Ramik J., Possibilistic Linear Programming: A Brief Review of Fuzzy Mathematical Programming and a Comparison with Stochastic Programming in Portfolio Selection Problem, Fuzzy Sets and Systems, 111, pp. 3-28, (2000)