A fuzzy goal programming approach for solving fuzzy multi-objective stochastic linear programming problem

被引:0
|
作者
Masoud, Mahmoud [1 ,2 ]
Khalifa, H. A. [3 ,4 ]
Liu, Shi Qiang [5 ]
Elhenawy, Mohammed [6 ]
Wu, Peng [5 ]
机构
[1] Queensland Univ Technol, Fac Sci & Engn, CAARS Q, Brisbane, Qld 4001, Australia
[2] Queensland Univ Technol, Fac Sci & Engn, Sch Math Sci, Brisbane, Qld 4001, Australia
[3] Cairo Univ, Inst Stat Studies & Res, Operat Res Dept, Giza, Egypt
[4] Qassim Univ, Coll Arts & Sci, Dept Math, Al Badaya, Saudi Arabia
[5] Fuzhou Univ, Sch Econ & Management, Fuzhou 350116, Peoples R China
[6] Queensland Univ Technol, Fac Hlth, Ctr Accid Res & Rd Safety, Brisbane, Qld, Australia
基金
中国国家自然科学基金;
关键词
Chance constrained programming; Normal distribution; Joint probability distribution; fuzzy numbers; Fuzzy programming; Goal programming; Optimal compromise solution; MODEL; SET;
D O I
暂无
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper deals with the multi-objective chance constrained programming, where the right hand side of the constraints are normally distributed and the objective functions with fuzzy numbers coefficients. A fuzzy goal programming approach is developed for the corresponding deterministic problem by defining membership values and aspiration levels. The advantage of the proposed approach is the decision-maker's role only in estimating the efficient solution to avoid or atleast limit the influences of his/her knowledge incomplete about the studied problem. A numerical example is given in the utility of the paper to illustrate the applied and the efficiency of the approach.
引用
收藏
页码:854 / 859
页数:6
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