The solution approach to linear fuzzy bilevel optimization problems

DOI10.1080/02331934.2013.848862zbMath1311.90197OpenAlexW2038063781MaRDI QIDQ5248232

Alina Budnitzki

Publication date: 28 April 2015

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2013.848862

zbMATH Keywords

bilevel linear optimizationfuzzy polytopefuzzy linear optimizationfuzzy bilevel optimization

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Linear programming (90C05) Fuzzy and other nonstochastic uncertainty mathematical programming (90C70)

Related Items (7)

Finding robust global optimal values of bilevel polynomial programs with uncertain linear constraints ⋮ The Karush-Kuhn-Tucker optimality conditions for the fuzzy optimization problems in the quotient space of fuzzy numbers ⋮ Linear optimization with fuzzy variable over fuzzy polytope ⋮ An approach for solving a fuzzy bilevel programming problem through nearest interval approximation approach and KKT optimality conditions ⋮ Reduction of the bilevel stochastic optimization problem with quantile objective function to a mixed‐integer problem ⋮ Multi-objective bilevel fuzzy probabilistic programming problem ⋮ Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography

Cites Work

• On the calculation of a membership function for the solution of a fuzzy linear optimization problem
• The deregulated electricity market viewed as a bilevel programming problem
• Fuzzy bilevel programming with multiple objectives and cooperative multiple followers
• An interactive fuzzy satisficing method for multiobjective nonlinear programming problems with fuzzy parameters
• Fuzzy programming and linear programming with several objective functions
• A modified simplex approach for solving bilevel linear programming problems
• Fuzzy points: Algebra and application
• A Bilevel Model of Taxation and Its Application to Optimal Highway Pricing
• Operations on fuzzy numbers
• Optimality conditions in nondifferentiable fuzzy optimization

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