An iterative goal programming approach for solving fuzzy multiobjective integer linear programming problems

This paper presents an iterative goal programming approach for solving fuzzy multiobjective integer linear programming problems. These problems involve fuzzy parameters in the right-hand side of the constraints. The concept of α-level set of these fuzzy parameters is introduced with the definition o...

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Bibliographic Details
Published in:Applied mathematics and computation Vol. 170; no. 1; pp. 216 - 225
Main Author: Saad, Omar M.
Format: Journal Article
Language:English
Published: New York, NY Elsevier Inc 01.11.2005
Elsevier
Subjects:
Algorithmics. Computability. Computer arithmetics
Applied sciences
Calculus of variations and optimal control
Computer science; control theory; systems
Exact sciences and technology
Fuzzy parameters
Goal programming
Gomory cuts
Mathematical analysis
Mathematical programming
Mathematics
Multiobjective integer linear programming
Operational research and scientific management
Operational research. Management science
Sciences and techniques of general use
Theoretical computing
Fuzzy parameters
Gomory cuts
Multiobjective integer linear programming
Goal programming
Membership function
Level set
Multiobjective programming
Iterative method
Linear programming
Gomory cut
Integer programming
Algorithm theory
Applied mathematics
ISSN:0096-3003, 1873-5649
Online Access:Get full text
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Summary:This paper presents an iterative goal programming approach for solving fuzzy multiobjective integer linear programming problems. These problems involve fuzzy parameters in the right-hand side of the constraints. The concept of α-level set of these fuzzy parameters is introduced with the definition of their membership function. A solution algorithm is described in sequential steps to solve the formulated model. The suggested approach in this paper is mainly based on the iterative goal programming technique together with Gomory cuts. An illustrative numerical example is given to clarify the theory and the solution algorithm.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2004.11.026