An interactive algorithm for decomposing the parametric space in fuzzy multiobjective dynamic programming problem

The aim of this paper is to study the stability of multiobjective dynamic programming (MODP) 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...

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Bibliographic Details
Published in:Applied mathematics and computation Vol. 174; no. 1; pp. 684 - 699
Main Authors: Abo-Sinna, Mahmoud A., Amer, A.H., El Sayed, Hend H.
Format: Journal Article
Language:English
Published: New York, NY Elsevier Inc 01.03.2006
Elsevier
Subjects:
Applied sciences
Calculus of variations and optimal control
Exact sciences and technology
Fuzzy multiobjective dynamic programming problems
Fuzzy numbers
Interactive decision making
Mathematical analysis
Mathematical programming
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in mathematical programming
Numerical methods in mathematical programming, optimization and calculus of variations
Operational research and scientific management
Operational research. Management science
Parametric analysis
Sciences and techniques of general use
Stability
α-Pareto optimality
Fuzzy multiobjective dynamic programming problems
Stability
Parametric analysis
α-Pareto optimality
Fuzzy numbers
Interactive decision making
Interactive programming
Pareto optimum
Decision making
Multiobjective programming
Parametric programming
Fuzzy programming
Non linear programming
Numerical analysis
Fuzzy algorithm
Applied mathematics
Optimal solution
Fuzzy number
Dynamic programming
ISSN:0096-3003, 1873-5649
Online Access:Get full text
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Summary:The aim of this paper is to study the stability of multiobjective dynamic programming (MODP) 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 interactive fuzzy decision making 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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2005.04.107