Solving fuzzy multi-objective linear programming problems using deviation degree measures and weighted max-min method

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dc.citation.issue10-11
dc.citation.volume37
dc.contributor.authorCheng HF
dc.contributor.authorHuang WL
dc.contributor.authorZhou Q
dc.contributor.authorCai JH
dc.date.available2013-06-01
dc.date.issued2013-06-01
dc.description.abstractThis paper proposes a method for solving fuzzy multi-objective linear programming (FMOLP) problems where all the coefficients are triangular fuzzy numbers and all the constraints are fuzzy equality or inequality. Using the deviation degree measures and weighted max–min method, the FMOLP problem is transformed into crisp linear programming (CLP) problem. If decision makers fix the values of deviation degrees of two side fuzzy numbers in each constraint, then the δ-pareto-optimal solution of the FMOLP problems can be obtained by solving the CLP problem. The bigger the values of the deviation degrees are, the better the objectives function values will be. So we also propose an algorithm to find a balance-pareto-optimal solution between two goals in conflict: to improve the objectives function values and to decrease the values of the deviation degrees. Finally, to illustrate our method, we solve a numerical example.
dc.description.confidentialfalse
dc.format.extent6855 - 6869
dc.identifier.citationApplied Mathematical Modelling, 2013, 37 (10-11), pp. 6855 - 6869
dc.identifier.doi10.1016/j.apm.2013.01.048
dc.identifier.elements-id282459
dc.identifier.harvestedMassey_Dark
dc.identifier.issn0307-904X
dc.publisherElsevier
dc.relation.isPartOfApplied Mathematical Modelling
dc.relation.urihttps://www.sciencedirect.com/science/article/pii/S0307904X13001182?via=ihub
dc.rightsElsevier
dc.rightsUnder an Elsevier user license
dc.subjectFuzzy multi-objective linear programming
dc.subjectFuzzy constraints
dc.subjectTriangular fuzzy numbers
dc.subjectDeviation degree
dc.subjectWeighted max–min method
dc.subject.anzsrc0102 Applied Mathematics
dc.subject.anzsrc0103 Numerical and Computational Mathematics
dc.subject.anzsrc0801 Artificial Intelligence and Image Processing
dc.titleSolving fuzzy multi-objective linear programming problems using deviation degree measures and weighted max-min method
dc.typeJournal article
pubs.notesNot known
pubs.organisational-group/Massey University
pubs.organisational-group/Massey University/College of Sciences
pubs.organisational-group/Massey University/College of Sciences/School of Engineering and Technology
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