Stability on multiobjective dynamic programming problems with fuzzy parameters in the objective functions and in the constraints

The purpose of the paper is to investigate the stability on multiobjective dynamic programming problems with fuzzy parameters in the objective functions and in the constraints. These fuzzy parameters are characterized by fuzzy numbers. For such problems, concept and notion of the stability set of th...

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Bibliographic Details
Published in:European journal of operational research Vol. 158; no. 3; pp. 678 - 696
Main Authors: Li, Dengfeng, Cheng, Chuntian
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 01.11.2004
Elsevier
Elsevier Sequoia S.A
Series:European Journal of Operational Research
Subjects:
Dynamic programming
Fuzzy logic
Fuzzy multiobjective dynamic programming problems
Fuzzy numbers
Operations research
Parametric analysis
Pareto optimum
Stability
Studies
α-Pareto optimality
Fuzzy multiobjective dynamic programming problems
Stability
Parametric analysis
α-Pareto optimality
Fuzzy numbers
ISSN:0377-2217, 1872-6860
Online Access:Get full text
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Summary:The purpose of the paper is to investigate the stability on multiobjective dynamic programming problems with fuzzy parameters in the objective functions and in the constraints. These fuzzy parameters are characterized by fuzzy numbers. For such problems, concept and notion of the stability set of the first kind in parametric nonlinear programming problems are redefined and analyzed qualitatively under the concept of α-Pareto optimality. An algorithm for the determination of any subset of the parametric space which has the same corresponding α-Pareto optimal solution is proposed. A numerical example is given to illustrate the method developed in the paper.
Bibliography:SourceType-Scholarly Journals-1
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ISSN:0377-2217
1872-6860
DOI:10.1016/S0377-2217(03)00374-6