A Newton method for capturing efficient solutions of interval optimization problems
From MaRDI portal
Publication:522414
DOI10.1007/s12597-016-0249-6zbMath1360.65152OpenAlexW2259353398MaRDI QIDQ522414
Publication date: 28 April 2017
Published in: Opsearch (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12597-016-0249-6
Newton methodefficient solutioninterval optimizationinterval-valued function\(gH\)-differentiability
Numerical computation of solutions to systems of equations (65H10) General methods in interval analysis (65G40)
Related Items (8)
Newton's method for interval-valued multiobjective optimization problem ⋮ A Davidon-Fletcher-Powell Type Quasi-Newton Method to Solve Fuzzy Optimization Problems ⋮ Cubic interpolation: a line search technique for fuzzy optimization problems ⋮ Extended Karush-Kuhn-Tucker condition for constrained interval optimization problems and its application in support vector machines ⋮ A saddle point characterization of efficient solutions for interval optimization problems ⋮ A quasi-Newton method with rank-two update to solve interval optimization problems ⋮ A Newton method for capturing Pareto optimal solutions of fuzzy multiobjective optimization problems ⋮ Generalized Hukuhara-Clarke derivative of interval-valued functions and its properties
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multi-objective interval fractional programming problems: an approach for obtaining efficient solutions
- A direction based classical method to obtain complete Pareto set of multi-criteria optimization problems
- Calculus for interval-valued functions using generalized Hukuhara derivative and applications
- On sufficiency and duality for a class of interval-valued programming problems
- Duality theory in interval-valued linear programming problems
- Robust duality for fractional programming problems with constraint-wise data uncertainty
- Analytical fuzzy plane geometry. I
- A novel approach in uncertain programing. I: New arithmetic and order relation for interval numbers
- Numerical solution method for general interval quadratic programming
- Duality theory for optimization problems with interval-valued objective functions
- A generalization of Hukuhara difference and division for interval and fuzzy arithmetic
- Calculus for interval functions of a real variable
- Analytical fuzzy plane geometry. III
- A note on the generalized difference and the generalized differentiability
- A method for capturing the entire fuzzy non-dominated set of a fuzzy multi-criteria optimization problem
- On the Newton method for solving fuzzy optimization problems
- Complexity of necessary efficiency in interval linear programming and multiobjective linear programming
- A new Pareto set generating method for multi-criteria optimization problems
- Efficient solution of interval optimization problem
- Analytical fuzzy plane geometry. II
- Optimality conditions and duality for arcwise connected interval optimization problems
- A numerical solution method to interval quadratic programming
- On interval-valued optimization problems with generalized invex functions
- A nonlinear interval number programming method for uncertain optimization problems
- On interval-valued nonlinear programming problems
- Multiobjective programming in optimization of the interval objective function
- Introduction to Interval Analysis
This page was built for publication: A Newton method for capturing efficient solutions of interval optimization problems