Decomposition of the fuzzy parametric space in multiobjective nonlinear programming problems

DOI10.1016/S0377-2217(96)00017-3zbMath0916.90270OpenAlexW2071694260MaRDI QIDQ1278951

Mohamed Abd El-Hady Kassem

Publication date: 28 February 1999

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-2217(96)00017-3

zbMATH Keywords

stabilityfuzzy numbersmultiobjective nonlinear programming\(\alpha\)-Pareto optimalityfuzzy parametersgeneralized Tchebycheff normfuzzy parametric space

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Fuzzy and other nonstochastic uncertainty mathematical programming (90C70)

Related Items (3)

Stability achievement scalarization function for multiobjective nonlinear programming problems ⋮ Stability of vector optimization problems with fuzzy weights in the objective functions and fuzzy matrix parameters in the constraints ⋮ Interactive stability cutting-plane algorithm for multiobjective nonlinear programming problems

Cites Work

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• Fuzzy linear programming problems with fuzzy numbers
• Decomposition of the parametric space in multiobjective convex programs using the generalized Tchebycheff norm
• Fuzzy sets and systems. Theory and applications
• Interactive decision making for multiobjective nonlinear programming problems with fuzzy parameters
• Interactive stability of multiobjective nonlinear programming problems with fuzzy parameters in the constraints
• Stability of multiobjective nonlinear programming problems with fuzzy parameters in the constraints
• Duality and stability in extremum problems involving convex functions
• Equivalence in nonlinear programming

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