Solving multiobjective mathematical programming problems with fixed and fuzzy coefficients
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. H...
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ndltd-netd.ac.za-oai-union.ndltd.org-unisa-oai-umkn-dsp01.int.unisa.ac.za-10500-48012016-04-16T04:08:12Z Solving multiobjective mathematical programming problems with fixed and fuzzy coefficients Ruzibiza, Stanislas Sakera Luhandjula, M. K. Multiobjective Programming Fuzzy set Pareto optimal solution Possibility measures Embedding theorem 519.7 Programming (Mathematics) Fuzzy logic Fuzzy sets Embedding theorems 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. Operations Research M. Sc. (Operations Research) 2011-09-20T10:02:59Z 2011-09-20T10:02:59Z 2011-04 Dissertation http://hdl.handle.net/10500/4801 en 1 online resource (viii, 68 leaves) |
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Multiobjective Programming Fuzzy set Pareto optimal solution Possibility measures Embedding theorem 519.7 Programming (Mathematics) Fuzzy logic Fuzzy sets Embedding theorems |
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Multiobjective Programming Fuzzy set Pareto optimal solution Possibility measures Embedding theorem 519.7 Programming (Mathematics) Fuzzy logic Fuzzy sets Embedding theorems Ruzibiza, Stanislas Sakera Solving multiobjective mathematical programming problems with fixed and fuzzy coefficients |
description |
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. === Operations Research === M. Sc. (Operations Research) |
author2 |
Luhandjula, M. K. |
author_facet |
Luhandjula, M. K. Ruzibiza, Stanislas Sakera |
author |
Ruzibiza, Stanislas Sakera |
author_sort |
Ruzibiza, Stanislas Sakera |
title |
Solving multiobjective mathematical programming problems with fixed and fuzzy coefficients |
title_short |
Solving multiobjective mathematical programming problems with fixed and fuzzy coefficients |
title_full |
Solving multiobjective mathematical programming problems with fixed and fuzzy coefficients |
title_fullStr |
Solving multiobjective mathematical programming problems with fixed and fuzzy coefficients |
title_full_unstemmed |
Solving multiobjective mathematical programming problems with fixed and fuzzy coefficients |
title_sort |
solving multiobjective mathematical programming problems with fixed and fuzzy coefficients |
publishDate |
2011 |
url |
http://hdl.handle.net/10500/4801 |
work_keys_str_mv |
AT ruzibizastanislassakera solvingmultiobjectivemathematicalprogrammingproblemswithfixedandfuzzycoefficients |
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1718224294453968896 |