Convergence analysis of solution sets for fuzzy optimization problems
From MaRDI portal
Publication:2293634
DOI10.1016/j.cam.2019.112615zbMath1498.47151OpenAlexW2990570139WikidataQ126647285 ScholiaQ126647285MaRDI QIDQ2293634
Nguyen Van Hung, Nguyen Huy Tuan, Vo Minh Tam, Donal O'Regan
Publication date: 5 February 2020
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2019.112615
approximate solutionfuzzy mappingsPainlevé-Kuratowski convergencefuzzy optimization problemsthe \(\mathcal{D}\)-convergence
Sensitivity, stability, parametric optimization (90C31) Convergence and divergence of series and sequences of functions (40A30) Fuzzy operator theory (47S40)
Related Items (13)
Existence conditions for solutions of bilevel vector equilibrium problems with application to traffic network problems with equilibrium constraints ⋮ Ulam type stability for first-order linear and nonlinear impulsive fuzzy differential equations ⋮ Existence of solutions for a new class of fuzzy differential inclusions with resolvent operators in Banach spaces ⋮ Quasi-Newton algorithms for solving interval-valued multiobjective optimization problems by using their certain equivalence ⋮ Generalized fractional evolution equations driven by fuzzy variational inequalities ⋮ Optimal control of generalized multiobjective games with application to traffic networks modeling ⋮ Error bound analysis for split weak vector mixed quasi-variational inequality problems in fuzzy environment ⋮ Existence results and equilibrium stability conditions to fuzzy \(n\)-player generalized multiobjective games with application to economic equilibrium models ⋮ Generalized Levitin-Polyak well-posedness for controlled systems of FMQHI-fuzzy mixed quasi-hemivariational inequalities of Minty type ⋮ Painlevé-Kuratowski convergence of the solution sets for controlled systems of fuzzy vector quasi-optimization problems with application to controlling traffic networks under uncertainty ⋮ Convergence Analysis of Solution Sets for Minty Vector Quasivariational Inequality Problems in Banach Spaces ⋮ Error bound analysis for vector equilibrium problems with partial order provided by a polyhedral cone ⋮ Generalized well-posedness for parametric fuzzy generalized multiobjective games
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability of approximate solution mappings for generalized Ky Fan inequality
- Stability and scalarization in vector optimization using improvement sets
- Painlevé-Kuratowski convergences of the solution sets to perturbed generalized systems
- The statistical convergence for sequences of fuzzy-number-valued functions
- Continuity and semicontinuity of fuzzy mappings
- Elementary fuzzy calculus
- On the stability of solutions for semi-infinite vector optimization problems
- A class of convex fuzzy mappings
- A class of semicontinuous fuzzy mappings
- Painlevé-Kuratowski convergences for the solution sets of set-valued weak vector variational inequalities
- Ranking fuzzy numbers in the setting of possibility theory
- A subjective approach for ranking fuzzy numbers
- Generalized concavity in fuzzy optimization and decision analysis
- Painlevé-Kuratowski stability of approximate efficient solutions for perturbed semi-infinite vector optimization problems
- On the Newton method for solving fuzzy optimization problems
- Necessary and sufficient conditions for fuzzy optimality problems
- Numerical solutions of fuzzy differential equations by an efficient Runge-Kutta method with generalized differentiability
- A survey on fuzzy fractional differential and optimal control nonlocal evolution equations
- A quasi-Newton method with rank-two update to solve interval optimization problems
- Painlevé-Kuratowski convergences of the solution sets for generalized vector quasi-equilibrium problems
- A new hybrid algorithm for continuous optimization problem
- On the existence and stability of approximate solutions of perturbed vector equilibrium problems
- Variational convergence for vector-valued functions and its applications to convex multiobjective optimization
- On pointwise and uniform statistical convergence of order \({\alpha}\)
- A note on generalized convexity for fuzzy mappings through a linear ordering
- Convex fuzzy mapping with differentiability and its application in fuzzy optimization
- Fuzzy Weierstrass theorem and convex fuzzy mappings
- Convexity and semicontinuity of fuzzy mappings
- Directional derivatives and subdifferential of convex fuzzy mappings and application in convex fuzzy programming
- Semicontinuity and convergence for vector optimization problems with approximate equilibrium constraints
- The optimality conditions for optimization problems with fuzzy-valued objective functions
- On Fuzzy Mapping and Control
- Variational Analysis
- Pointwise ideal convergence and uniformly ideal convergence of sequences of fuzzy valued functions
- Stability for convex vector optimization problems
- An (α ,β)-Optimal solution concept in Fuzzy Optimization problems
- Optimality conditions in nondifferentiable fuzzy optimization
- On relationships among different types of solutions of fuzzy optimization problems
- Fuzzy sets
- Stability in vector-valued and set-valued optimization
This page was built for publication: Convergence analysis of solution sets for fuzzy optimization problems
