Formulation of fuzzy linear programming problems as four-objective constrained optimization problems

Zhang, G; Wu, YH; Remias, M; Lu, J

Formulation of fuzzy linear programming problems as four-objective constrained optimization problems

Zhang, G

Wu, YH Remias, M Lu, J

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Publication Type:: Journal Article
Citation:: Applied Mathematics and Computation, 2003, 139 (2-3), pp. 383 - 399
Issue Date:: 2003-07-15

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Field	Value	Language
dc.contributor.author	Zhang, G https://orcid.org/0000-0003-3960-0583	en_US
dc.contributor.author	Wu, YH	en_US
dc.contributor.author	Remias, M	en_US
dc.contributor.author	Lu, J https://orcid.org/0000-0003-0690-4732	en_US
dc.date.issued	2003-07-15	en_US
dc.identifier.citation	Applied Mathematics and Computation, 2003, 139 (2-3), pp. 383 - 399	en_US
dc.identifier.issn	0096-3003	en_US
dc.identifier.uri	http://hdl.handle.net/10453/3460
dc.description.abstract	This paper concerns the solution of fuzzy linear programming (FLP) problems which involve fuzzy numbers in coefficients of objective functions. Firstly, a number of concepts of optimal solutions to FLP problems are introduced and investigated. Then, a number of theorems are developed so as to convert the FLP to a multi-objective optimization problem with four-objective functions. Finally, two illustrative examples are given to demonstrate the solution procedure. It also shows that our method of solution includes an existing method as a special case. © 2002 Elsevier Science Inc. All rights reserved.	en_US
dc.relation	http://purl.org/au-research/grants/arc/DP0211701
dc.relation.ispartof	Applied Mathematics and Computation	en_US
dc.relation.isbasedon	10.1016/S0096-3003(02)00202-3	en_US
dc.subject.classification	Numerical & Computational Mathematics	en_US
dc.title	Formulation of fuzzy linear programming problems as four-objective constrained optimization problems	en_US
dc.type	Journal Article
utslib.citation.volume	2-3	en_US
utslib.citation.volume	139	en_US
utslib.for	0103 Numerical and Computational Mathematics	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	0802 Computation Theory and Mathematics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Computer Science
pubs.organisational-group	/University of Technology Sydney/Strength - CAI - Centre for Artificial Intelligence
utslib.copyright.status	closed_access
pubs.issue	2-3	en_US
pubs.publication-status	Published	en_US
pubs.volume	139	en_US

Abstract:

This paper concerns the solution of fuzzy linear programming (FLP) problems which involve fuzzy numbers in coefficients of objective functions. Firstly, a number of concepts of optimal solutions to FLP problems are introduced and investigated. Then, a number of theorems are developed so as to convert the FLP to a multi-objective optimization problem with four-objective functions. Finally, two illustrative examples are given to demonstrate the solution procedure. It also shows that our method of solution includes an existing method as a special case. © 2002 Elsevier Science Inc. All rights reserved.

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http://hdl.handle.net/10453/3460