Multiobjective Fuzzy Stochastic Linear Programming Problems with Inexact Probability Distribution

被引:0
作者
Hamadameen, Abdulqader Othman [1 ]
Zainuddin, Zaitul Marlizawati [1 ]
机构
[1] UTM, Fac Sci, Dept Math Sci, Johor Baharu, Malaysia
来源
PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES | 2014年 / 1602卷
关键词
Multiobjective fuzzy stochastic programming; fuzzy transformation; ranking function; stochastic transformation; linguistic hedges; an adaptive arithmetic average; SIMPLEX-METHOD; RANKING; DUALITY;
D O I
10.1063/1.4882539
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This study deals with multiobjective fuzzy stochastic linear programming problems with uncertainty probability distribution which are defined as fuzzy assertions by ambiguous experts. The problem formulation has been presented and the two solutions strategies are; the fuzzy transformation via ranking function and the stochastic transformation when alpha- cut technique and linguistic hedges are used in the uncertainty probability distribution. The development of Sen's method is employed to find a compromise solution, supported by illustrative numerical example.
引用
收藏
页码:546 / 558
页数:13
相关论文
共 49 条
[1]  
Bellman R. E., 1971, Decision-making in a fuzzy environment, DOI 10.1287/mnsc.17.4.B141
[2]   Stochastic programming with fuzzy linear partial information on probability distribution [J].
Ben Abdelaziz, F ;
Masri, H .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2005, 162 (03) :619-629
[3]   Dominance and efficiency in multicriteria decision under uncertainty [J].
Ben Abdelaziz, F ;
Lang, P ;
Nadeau, R .
THEORY AND DECISION, 1999, 47 (03) :191-211
[4]   Solution approaches for the multiobjective stochastic programming [J].
Ben Abdelaziz, Fouad .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2012, 216 (01) :1-16
[5]   A compromise solution for the multiobjective stochastic linear programming under partial uncertainty [J].
Ben Abdelaziz, Fouad ;
Masri, Hatem .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2010, 202 (01) :55-59
[6]  
Bezdek J. E., 1993, IEEE Transactions on Fuzzy Systems, V1, P1, DOI 10.1109/TFUZZ.1993.6027269
[7]   Using ranking functions in multiobjective fuzzy linear programming [J].
Cadenas, JM ;
Verdegay, JL .
FUZZY SETS AND SYSTEMS, 2000, 111 (01) :47-53
[8]   DETERMINISTIC EQUIVALENTS FOR OPTIMIZING AND SATISFICING UNDER CHANCE CONSTRAINTS [J].
CHARNES, A ;
COOPER, WW .
OPERATIONS RESEARCH, 1963, 11 (01) :18-39
[9]   RANKING FUZZY NUMBERS IN THE SETTING OF POSSIBILITY THEORY [J].
DUBOIS, D ;
PRADE, H .
INFORMATION SCIENCES, 1983, 30 (03) :183-224
[10]   Sensitivity analysis in fuzzy number linear programming problems [J].
Ebrahimnejad, A. .
MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (9-10) :1878-1888