Solution concepts and an approximation Kuhn–Tucker approach for fuzzy multiobjective linear bilevel programming

Zhang, G; Lu, J; Dillon, T

Solution concepts and an approximation Kuhn–Tucker approach for fuzzy multiobjective linear bilevel programming

Zhang, G

Lu, J

Dillon, T

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Publication Type:: Chapter
Citation:: Springer Optimization and Its Applications, 2008, 17 pp. 457 - 480
Issue Date:: 2008-01-01

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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	Dillon, T	en_US
dc.date.issued	2008-01-01	en_US
dc.identifier.citation	Springer Optimization and Its Applications, 2008, 17 pp. 457 - 480	en_US
dc.identifier.uri	http://hdl.handle.net/10453/7844
dc.description.abstract	© 2008 Springer Science+Business Media, LLC. When modeling an organizational bilevel decision problem, uncertainty often appears in the parameters of either objective functions or constraints of the leader and the follower. Furthermore, the leader and the follower may have multiple objectives to consider simultaneously in their decision making. To deal with the two issues, this study builds a fuzzy multiobjective linear bilevel programming (FMOLBLP) model. It then proposes the definitions of optimal solutions and related theorems for solving a FMOLBLP problem. Based on these theorems, it develops an approximation Kuhn–Tucker approach to solve the FMOLBLP problem where fuzzy parameters can be described by any form of membership functions of fuzzy numbers. An example illustrates the applications of the proposed approach.	en_US
dc.relation.ispartof	Springer Optimization and Its Applications	en_US
dc.relation.isbasedon	10.1007/978-0-387-77247-9_17	en_US
dc.title	Solution concepts and an approximation Kuhn–Tucker approach for fuzzy multiobjective linear bilevel programming	en_US
dc.type	Chapter
utslib.citation.volume	17	en_US
utslib.for	0801 Artificial Intelligence and Image Processing	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/Faculty of Engineering and Information Technology/School of Software
pubs.organisational-group	/University of Technology Sydney/Strength - CAI - Centre for Artificial Intelligence
utslib.copyright.status	closed_access
pubs.publication-status	Published	en_US
pubs.volume	17	en_US

Abstract:

© 2008 Springer Science+Business Media, LLC. When modeling an organizational bilevel decision problem, uncertainty often appears in the parameters of either objective functions or constraints of the leader and the follower. Furthermore, the leader and the follower may have multiple objectives to consider simultaneously in their decision making. To deal with the two issues, this study builds a fuzzy multiobjective linear bilevel programming (FMOLBLP) model. It then proposes the definitions of optimal solutions and related theorems for solving a FMOLBLP problem. Based on these theorems, it develops an approximation Kuhn–Tucker approach to solve the FMOLBLP problem where fuzzy parameters can be described by any form of membership functions of fuzzy numbers. An example illustrates the applications of the proposed approach.

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