A variable and a fixed ordering of intervals and their application in optimization with interval-valued functions
DOI10.1016/j.ijar.2020.03.004zbMath1446.65024OpenAlexW3011285224MaRDI QIDQ2191240
Debdas Ghosh, Witold Pedrycz, Amit Kumar Debnath
Publication date: 24 June 2020
Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijar.2020.03.004
interval-valued functionsnondominated solutionsinterval optimization problemscone of intervalspartial order relation of intervalsvariable ordering structure on intervals
Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Combinatorics of partially ordered sets (06A07) Interval and finite arithmetic (65G30)
Related Items (11)
Cites Work
- Calculus for interval-valued functions using generalized Hukuhara derivative and applications
- Numerical procedures in multiobjective optimization with variable ordering structures
- Newton method to obtain efficient solutions of the optimization problems with interval-valued objective functions
- Optimal elements in vector optimization with a variable ordering structure
- Variable preference modeling with ideal-symmetric convex cones
- Duality theory for optimization problems with interval-valued objective functions
- Generalized Hukuhara differentiability of interval-valued functions and interval differential equations
- Generalization of domination structures and nondominated solutions in multicriteria decision making
- Interval mathematics, algebraic equations and optimization
- A saddle point characterization of efficient solutions for interval optimization problems
- Optimality conditions of type KKT for optimization problem with interval-valued objective function via generalized derivative
- Extended Karush-Kuhn-Tucker condition for constrained interval optimization problems and its application in support vector machines
- On set-valued optimization problems with variable ordering structure
- Advancing equitability in multiobjective programming
- Vector complementarity problems with a variable ordering relation
- On interval-valued nonlinear programming problems
- Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
- Multiobjective programming in optimization of the interval objective function
- Introduction to Interval Analysis
- Set optimization by means of variable order relations
- Variable Ordering Structures in Vector Optimization
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