Dependent-chance programming in fuzzy environments

被引:120
作者
Liu, BD [1 ]
机构
[1] Tsing Hua Univ, Dept Appl Math, Beijing 100084, Peoples R China
关键词
fuzzy programming; genetic algorithm; fuzzy simulation;
D O I
10.1016/S0165-0114(97)00384-9
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Dependent-chance programming is a new type of stochastic programming. This paper provides a framework of dependent-chance programming as well as dependent-chance multiobjective programming and dependent-chance goal programming in fuzzy environment as opposed to stochastic environment. We also extend the concepts of uncertain environments, events, chance functions and induced constraints from stochastic to fuzzy cases. Finally, a fuzzy simulation based genetic algorithm is illustrated by some numerical examples of dependent-chance programming models. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:97 / 106
页数:10
相关论文
共 19 条
[1]  
[Anonymous], 1988, POSSIBILITY THEORY
[2]  
[Anonymous], ANAL FUZZY INFORMATI
[3]  
Bellman R. E., 1971, Decision-making in a fuzzy environment, DOI 10.1287/mnsc.17.4.B141
[4]   CHANCE-CONSTRAINED PROGRAMMING [J].
CHARNES, A ;
COOPER, WW .
MANAGEMENT SCIENCE, 1959, 6 (01) :73-79
[5]  
Iwamura K., 1996, Journal of Information & Optimization Sciences, V17, P409
[6]  
LIU B, IN PRESS FUZZY SETS
[7]  
LIU B, 1993, J SYSTEMS ENG ELECT, V4, P40
[8]   Chance constrained programming with fuzzy parameters [J].
Liu, BD ;
Iwamura, K .
FUZZY SETS AND SYSTEMS, 1998, 94 (02) :227-237
[9]   Dependent-chance programming: A class of stochastic optimization [J].
Liu, BD .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1997, 34 (12) :89-104
[10]   Modelling stochastic decision systems using dependent-chance programming [J].
Liu, BD ;
Iwamura, K .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1997, 101 (01) :193-203