Optimality conditions for nonsmooth fuzzy optimization models under the gH-weak subdifferentiability

DOI10.1007/s40314-023-02522-4OpenAlexW4389429347MaRDI QIDQ6144319

Guoju Ye, Wei Liu, Dafang Zhao, Fangfang Shi

Publication date: 5 January 2024

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-023-02522-4

zbMATH Keywords

fuzzy-valued functionfuzzy nonsmooth optimizationgH-weak subdifferentiability

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Optimality conditions and duality in mathematical programming (90C46) Fuzzy and other nonstochastic uncertainty mathematical programming (90C70)

Cites Work

• Unnamed Item
• Optimality conditions in nonconvex optimization via weak subdifferentials
• Duality theory in fuzzy mathematical programming problems with fuzzy coefficients
• A generalization of Hukuhara difference and division for interval and fuzzy arithmetic
• Stability and duality of nonconvex problems via augmented Lagrangian
• On the Newton method for solving fuzzy optimization problems
• Optimality conditions and duality for continuous-time programming with multiple interval-valued objective functions
• On symmetric gH-derivative: applications to dual interval-valued optimization problems
• Characterization results of solutions in interval-valued optimization problems with mixed constraints
• Interval-valued value function and its application in interval optimization problems
• A variable and a fixed ordering of intervals and their application in optimization with interval-valued functions
• Extended Karush-Kuhn-Tucker condition for constrained interval optimization problems and its application in support vector machines
• Duality theory in fuzzy optimization problems formulated by the Wolfe's primal and dual pair
• Generalized Hukuhara Gâteaux and Fréchet derivatives of interval-valued functions and their application in optimization with interval-valued functions
• Weak subdifferential/superdifferential, weak exhausters and optimality conditions
• On Weak Subdifferentials, Directional Derivatives, and Radial Epiderivatives for Nonconvex Functions
• Weak-subdifferentials for vector functions and applications to multiobjective semi-infinite optimization problems
• Weak subgradient method for solving nonsmooth nonconvex optimization problems
• Saddle-point optimality criteria involving (p, b, d)-invexity and (p, b, d)-pseudoinvexity in interval-valued optimisation problems
• Fuzzy sets
• Optimality conditions for fuzzy optimization in several variables under generalized differentiability
• Optimality conditions for fuzzy optimization problems under granular convexity concept
• A class of nonconvex fuzzy optimization problems under granular differentiability concept

This page was built for publication: Optimality conditions for nonsmooth fuzzy optimization models under the gH-weak subdifferentiability