An approximation Kuhn-Tucker approach for fuzzy linear bilevel decision making

Zhang, G; Lu, J; Dillon, T

An approximation Kuhn-Tucker approach for fuzzy linear bilevel decision making

Zhang, G

Lu, J

Dillon, T

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Publication Type:: Chapter
Citation:: 2008, 97 pp. 157 - 171
Issue Date:: 2008-03-12

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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	2008-03-12	en_US
dc.identifier.citation	2008, 97 pp. 157 - 171	en_US
dc.identifier.isbn	9783540768289	en_US
dc.identifier.uri	http://hdl.handle.net/10453/7856
dc.description.abstract	In bilevel decision making, the leader aims to achieve an optimal solution by considering the follower's optimized strategy to react each of his/her possible decisions. In a real-world bilevel decision environment, uncertainty must be considered when modeling the objective functions and constraints of the leader and the follower. Following our previous work, this chapter proposes a fuzzy bilevel decision making model to describe bilevel decision making under uncertainty. After giving the definitions of optimal solutions and related theorems for fuzzy bilevel decision problems this chapter develops an approximation Kuhn-Tucker approach to solve the problem. Finally, an example of reverse logistics management illustrates the application of this proposed fuzzy bilevel decision making approach. © 2008 Springer-Verlag Berlin Heidelberg.	en_US
dc.relation.isbasedon	10.1007/978-3-540-76829-6_6	en_US
dc.subject.classification	Artificial Intelligence & Image Processing	en_US
dc.title	An approximation Kuhn-Tucker approach for fuzzy linear bilevel decision making	en_US
dc.type	Chapter
utslib.citation.volume	97	en_US
utslib.for	080108 Neural, Evolutionary and Fuzzy Computation	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	97	en_US

Abstract:

In bilevel decision making, the leader aims to achieve an optimal solution by considering the follower's optimized strategy to react each of his/her possible decisions. In a real-world bilevel decision environment, uncertainty must be considered when modeling the objective functions and constraints of the leader and the follower. Following our previous work, this chapter proposes a fuzzy bilevel decision making model to describe bilevel decision making under uncertainty. After giving the definitions of optimal solutions and related theorems for fuzzy bilevel decision problems this chapter develops an approximation Kuhn-Tucker approach to solve the problem. Finally, an example of reverse logistics management illustrates the application of this proposed fuzzy bilevel decision making approach. © 2008 Springer-Verlag Berlin Heidelberg.

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http://hdl.handle.net/10453/7856