Lagrangian dual theory and stability analysis for fuzzy optimization problems

DOI10.1016/j.ins.2023.119953OpenAlexW4389166119MaRDI QIDQ6179989

Savin Treanta, Guoju Ye, Fangfang Shi, Dafang Zhao, Wei Liu

Publication date: 18 January 2024

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2023.119953

zbMATH Keywords

stability analysissupport vector machinefuzzy optimization problemLagrangian dual theory

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Sensitivity, stability, parametric optimization (90C31) Fuzzy and other nonstochastic uncertainty mathematical programming (90C70)

Cites Work

• Application of fuzzy optimization to a supply chain network design: A case study of an edible vegetable oils manufacturer
• Interval differential equations with a second type Hukuhara derivative
• Duality theory in fuzzy mathematical programming problems with fuzzy coefficients
• A generalization of Hukuhara difference and division for interval and fuzzy arithmetic
• On the Newton method for solving fuzzy optimization problems
• Duality for a class of fuzzy nonlinear optimization problem under generalized convexity
• The Karush-Kuhn-Tucker optimality conditions for fuzzy optimization problems
• Exponential stability of nonlinear state-dependent delayed impulsive systems with applications
• Characterization results of solutions in interval-valued optimization problems with mixed constraints
• Interval-valued value function and its application in interval optimization problems
• Extended Karush-Kuhn-Tucker condition for constrained interval optimization problems and its application in support vector machines
• Optimality conditions for fuzzy constrained programming problems
• Generalized differentiability of fuzzy-valued functions
• Duality theory in fuzzy optimization problems formulated by the Wolfe's primal and dual pair
• Learning ReLU Networks on Linearly Separable Data: Algorithm, Optimality, and Generalization
• Fuzzy sets
• A class of nonconvex fuzzy optimization problems under granular differentiability concept