The Karush--Kuhn--Tucker optimality conditions in an optimization problem with interval-valued objective function
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Publication:2432881
DOI10.1016/j.ejor.2005.09.007zbMath1137.90712OpenAlexW2001359285MaRDI QIDQ2432881
Publication date: 25 October 2006
Published in: European Journal of Operational Research (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ejor.2005.09.007
Hausdorff metricinterval-valued functionKKT optimality conditionsHukuhara differenceH-differentiability
Numerical optimization and variational techniques (65K10) Optimality conditions and duality in mathematical programming (90C46) General methods in interval analysis (65G40)
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Cites Work
- Fuzzy mathematical programming. Methods and applications
- Fuzzy multiple objective decision making. Methods and applications
- Possibilistic linear programming: A brief review of fuzzy mathematical programming and a comparison with stochastic programming in portfolio selection problem
- A differential calculus for multifunctions
- Multiobjective programming in optimization of the interval objective function
- Introduction to Stochastic Programming
- Introduction to global optimization.
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