A hybrid method for solving fuzzy semi-infinite linear programming problems

被引：2

作者：

Fakharzadeh, Alireza J. ^{[1
]}

Khosravi, Somayeh ^{[1
]}

机构：

[1] Shiraz Univ Technol, Fac Basis Sci, Dept Math, Shiraz, Iran

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2015年 / 28卷 / 02期

关键词：

Cutting-plane; semi-infinite linear programming; fuzzy linear programming; membership function; CUTTING PLANE ALGORITHM; MEMBERSHIP FUNCTIONS; DUALITY;

D O I：

10.3233/IFS-141369

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Abilities of fuzzy models in more adaptations with the real world phenomena causes that in this paper, we remodel semi-infinite linear programming problems as fuzzy problems which contained the crisp objective function and the infinite number of fuzzy constraints. Then, we introduce a new hybrid solution method for these fuzzy semi-infinite linear programming problems. This solution technique is a kind of cutting plane algorithm in which its sub-problems were solved by using the Zimmermann-method. Convergence of the presented algorithm is proved, and some numerical test examples are given and also the obtained results are compared.

引用

页码：879 / 884

页数：6

共 33 条

[1]

Anderson E.J., 1987, LINEAR PROGRAMMING I

[2] AN EXTENSION OF THE SIMPLEX ALGORITHM FOR SEMI-INFINITE LINEAR-PROGRAMMING [J].

ANDERSON, EJ ;

LEWIS, AS .

MATHEMATICAL PROGRAMMING, 1989, 44 (03) :247-269

[3]

Bellman R. E., 1971, Decision-making in a fuzzy environment, DOI 10.1287/mnsc.17.4.B141

[4] An accelerated central cutting plane algorithm for linear semi-infinite programming [J].

Betrò, B .

MATHEMATICAL PROGRAMMING, 2004, 101 (03) :479-495

[5] Numerical treatment of Bayesian robustness problems [J].

Betro, Bruno .

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2009, 50 (02) :279-288

[6] THE USE OF PARAMETRIC PROGRAMMING IN FUZZY LINEAR-PROGRAMMING [J].

CHANAS, S .

FUZZY SETS AND SYSTEMS, 1983, 11 (03) :243-251

[7]

Ebrahimnejad A., 2010, International Journal of Mathematics in Operational Research, V2, P762, DOI 10.1504/IJMOR.2010.035498

[8] A primal-dual method for linear programming problems with fuzzy variables [J].

Ebrahimnejad, A. ;

Nasseri, S. H. ;

Lotfi, F. Hosseinzadeh ;

Soltanifar, M. .

EUROPEAN JOURNAL OF INDUSTRIAL ENGINEERING, 2010, 4 (02) :189-209

[9] BOUNDED LINEAR PROGRAMS WITH TRAPEZOIDAL FUZZY NUMBERS [J].

Ebrahimnejad, Ali ;

Nasseri, Seyed Hadi ;

Lotfi, Farhad Hosseinzadeh .

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2010, 18 (03) :269-286

[10]

Glashoff K., 1983, LINEAR OPTIMIZATION

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