Fuzzy Bi-Level Multi-Objective Fractional Integer Programming

被引：14

作者：

Youness, E. A. ^{[1
]}

Emam, O. E. ^{[2
]}

Hafez, M. S. ^{[3
]}

机构：

[1] Tanta Univ, Fac Sci, Dept Math, Tanta, Egypt

[2] Helwan Univ, Fac Comp, Dept Informat Syst, Cairo, Egypt

[3] German Univ, Dept Math, Cairo, Egypt

来源：

APPLIED MATHEMATICS & INFORMATION SCIENCES | 2014年 / 8卷 / 06期

关键词：

Fuzzy programming; Bi-level programming; Multi-objective programming; Fractional programming; Integer programming;

D O I：

10.12785/amis/080622

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present an algorithm to solve a bi-level multi-objective fractional integer programming problem involving fuzzy numbers in the right-hand side of the constraints. The suggested algorithm combine the method of Taylor series together with the Kuhn Tucker conditions to solve fuzzy bi-level multi-objective fractional integer programming problem (FBLMOFIPP) then Gomory cuts are added till the integer solution is obtained. An illustrative example is discussed to demonstrate the correctness of the proposed solution method.

引用

页码：2857 / 2863

页数：7

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