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Solving multiobjective mathematical programming problems with fixed and fuzzy coefficients

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dc.contributor.advisor Luhandjula, Monga Kalonda
dc.contributor.author Ruzibiza, Stanislas Sakera
dc.date.accessioned 2011-09-20T10:02:59Z
dc.date.available 2011-09-20T10:02:59Z
dc.date.issued 2011-04
dc.identifier.citation Ruzibiza, Stanislas Sakera (2011) Solving multiobjective mathematical programming problems with fixed and fuzzy coefficients, University of South Africa, Pretoria, <http://hdl.handle.net/10500/4801> en
dc.identifier.uri http://hdl.handle.net/10500/4801
dc.description.abstract Many concrete problems, ranging from Portfolio selection to Water resource management, may be cast into a multiobjective programming framework. The simplistic way of superseding blindly conflictual goals by one objective function let no chance to the model but to churn out meaningless outcomes. Hence interest of discussing ways for tackling Multiobjective Programming Problems. More than this, in many real-life situations, uncertainty and imprecision are in the state of affairs. In this dissertation we discuss ways for solving Multiobjective Programming Problems with fixed and fuzzy coefficients. No preference, a priori, a posteriori, interactive and metaheuristic methods are discussed for the deterministic case. As far as the fuzzy case is concerned, two approaches based respectively on possibility measures and on Embedding Theorem for fuzzy numbers are described. A case study is also carried out for the sake of illustration. We end up with some concluding remarks along with lines for further development, in this field. en
dc.format.extent 1 online resource (viii, 68 leaves)
dc.language.iso en en
dc.subject Multiobjective programming en
dc.subject Fuzzy set en
dc.subject Pareto optimal solution en
dc.subject Possibility measures en
dc.subject Embedding theorem en
dc.subject.ddc 519.7
dc.subject.lcsh Programming (Mathematics)
dc.subject.lcsh Fuzzy logic
dc.subject.lcsh Fuzzy sets
dc.subject.lcsh Embedding theorems
dc.title Solving multiobjective mathematical programming problems with fixed and fuzzy coefficients en
dc.type Dissertation en
dc.description.department Operations Research
dc.description.degree M. Sc. (Operations Research)


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