Formulation of linear programming problems with fuzzy coefficients of objective functions and constraints

Zhang, G; Lu, J; Wu, Y

Formulation of linear programming problems with fuzzy coefficients of objective functions and constraints

Zhang, G

Lu, J

Wu, Y

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Publisher:: Nova Publishers
Publication Type:: Journal Article
Citation:: Asian-Information - Science - Life, 2003, 2 (1), pp. 57 - 68
Issue Date:: 2003-01

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Field	Value	Language
dc.contributor.author	Zhang, G https://orcid.org/0000-0003-3960-0583	en_US
dc.contributor.author	Lu, J https://orcid.org/0000-0003-0690-4732	en_US
dc.contributor.author	Wu, Y	en_US
dc.date.issued	2003-01	en_US
dc.identifier.citation	Asian-Information - Science - Life, 2003, 2 (1), pp. 57 - 68	en_US
dc.identifier.issn	1541-8219	en_US
dc.identifier.uri	http://hdl.handle.net/10453/9103
dc.description.abstract	This paper concerns the solution of fuzzy linear programming problems (FLP) with fuzzy numbers in coefficients of objective functions and constraints. For constraints given by n equations / inequalities involving fuzzy numbers with isosceles triangle membership functions. we prove that the feasiible solution space is determined by 3n non-fuzzy equations / inequalities. For constraints involving fuzzy numbers with other forms of membership functions. We develop two numerical algorithms respectively for the determination of the feasible solution space and the solution of the FLP problem. An illuminative example is also given in this paper to demonstrate the validity of the methods and algorithms developed.	en_US
dc.publisher	Nova Publishers	en_US
dc.relation	http://purl.org/au-research/grants/arc/DP0211701
dc.relation.ispartof	Asian-Information - Science - Life	en_US
dc.title	Formulation of linear programming problems with fuzzy coefficients of objective functions and constraints	en_US
dc.type	Journal Article
utslib.citation.volume	1	en_US
utslib.citation.volume	2	en_US
utslib.for	080108 Neural, Evolutionary and Fuzzy Computation	en_US
utslib.for	080105 Expert Systems	en_US
utslib.for	080605 Decision Support and Group Support Systems	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.consider-herdc	false	en_US
pubs.issue	1	en_US
pubs.volume	2	en_US

Abstract:

This paper concerns the solution of fuzzy linear programming problems (FLP) with fuzzy numbers in coefficients of objective functions and constraints. For constraints given by n equations / inequalities involving fuzzy numbers with isosceles triangle membership functions. we prove that the feasiible solution space is determined by 3n non-fuzzy equations / inequalities. For constraints involving fuzzy numbers with other forms of membership functions. We develop two numerical algorithms respectively for the determination of the feasible solution space and the solution of the FLP problem. An illuminative example is also given in this paper to demonstrate the validity of the methods and algorithms developed.

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http://hdl.handle.net/10453/9103