Interactive multiobjective fuzzy random programming through the level set-based probability model
This paper considers a multiobjective linear programming problem involving fuzzy random variable coefficients. A new fuzzy random programming model is proposed by extending the ideas of level set-based optimality and a stochastic programming model. The original problem involving fuzzy random variabl...
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| Vydáno v: | Information sciences Ročník 181; číslo 9; s. 1641 - 1650 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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Elsevier Inc
01.05.2011
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| ISSN: | 0020-0255, 1872-6291 |
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| Abstract | This paper considers a multiobjective linear programming problem involving fuzzy random variable coefficients. A new fuzzy random programming model is proposed by extending the ideas of level set-based optimality and a stochastic programming model. The original problem involving fuzzy random variables is transformed into a deterministic equivalent problem through the proposed model. An interactive algorithm is provided to obtain a satisficing solution for a decision maker from among a set of newly defined Pareto optimal solutions. It is shown that an optimal solution of the problem to be solved iteratively in the interactive algorithm is analytically obtained by a combination of the bisection method and the simplex method. |
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| AbstractList | This paper considers a multiobjective linear programming problem involving fuzzy random variable coefficients. A new fuzzy random programming model is proposed by extending the ideas of level set-based optimality and a stochastic programming model. The original problem involving fuzzy random variables is transformed into a deterministic equivalent problem through the proposed model. An interactive algorithm is provided to obtain a satisficing solution for a decision maker from among a set of newly defined Pareto optimal solutions. It is shown that an optimal solution of the problem to be solved iteratively in the interactive algorithm is analytically obtained by a combination of the bisection method and the simplex method. |
| Author | Sakawa, Masatoshi Katagiri, Hideki |
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| Keywords | Pareto optimality Level set-based model Fuzzy random variable Multiobjective linear programming Probability maximization Interactive algorithm |
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| SubjectTerms | Algorithms Fuzzy Fuzzy logic Fuzzy random variable Fuzzy set theory Interactive Interactive algorithm Level set-based model Mathematical models Multiobjective linear programming Optimization Pareto optimality Probability maximization Programming |
| Title | Interactive multiobjective fuzzy random programming through the level set-based probability model |
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