A triangular type-2 multi-objective linear programming model and a solution strategy

Maali, Y; Mahdavi-Amiri, N

A triangular type-2 multi-objective linear programming model and a solution strategy

Maali, Y Mahdavi-Amiri, N

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Publication Type:: Journal Article
Citation:: Information Sciences, 2014, 279 pp. 816 - 826
Issue Date:: 2014-09-20

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Field	Value	Language
dc.contributor.author	Maali, Y	en_US
dc.contributor.author	Mahdavi-Amiri, N	en_US
dc.date.issued	2014-09-20	en_US
dc.identifier.citation	Information Sciences, 2014, 279 pp. 816 - 826	en_US
dc.identifier.issn	0020-0255	en_US
dc.identifier.uri	http://hdl.handle.net/10453/30401
dc.description.abstract	We consider a multi-objective linear programming model with type-2 fuzzy objectives. The considered model has the flexibility for the user to specify the more general membership functions for objectives to reflect the inherent fuzziness, while being simple and practical. We develop two solution strategies with reasonable computing costs. The additional cost, as compared to the type-1 fuzzy model, is indeed insignificant. These two algorithms compute Pareto optimal solutions of the type-2 problems, one being based on a maxmin approach and the other on aggregating the objectives. Finally, applying the proposed algorithms, we work out two illustrative examples. © 2014 Elsevier Inc. All rights reserved.	en_US
dc.relation.ispartof	Information Sciences	en_US
dc.relation.isbasedon	10.1016/j.ins.2014.04.032	en_US
dc.subject.classification	Artificial Intelligence & Image Processing	en_US
dc.title	A triangular type-2 multi-objective linear programming model and a solution strategy	en_US
dc.type	Journal Article
utslib.citation.volume	279	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	08 Information and Computing Sciences	en_US
utslib.for	09 Engineering	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
utslib.copyright.status	closed_access
pubs.publication-status	Published	en_US
pubs.volume	279	en_US

Abstract:

We consider a multi-objective linear programming model with type-2 fuzzy objectives. The considered model has the flexibility for the user to specify the more general membership functions for objectives to reflect the inherent fuzziness, while being simple and practical. We develop two solution strategies with reasonable computing costs. The additional cost, as compared to the type-1 fuzzy model, is indeed insignificant. These two algorithms compute Pareto optimal solutions of the type-2 problems, one being based on a maxmin approach and the other on aggregating the objectives. Finally, applying the proposed algorithms, we work out two illustrative examples. © 2014 Elsevier Inc. All rights reserved.

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http://hdl.handle.net/10453/30401