On the Newton method for solving fuzzy optimization problems
From MaRDI portal
Publication:1677652
DOI10.1016/j.fss.2015.02.001zbMath1374.90430OpenAlexW2047068616MaRDI QIDQ1677652
Geraldo Nunes Silva, Antonio Rufián-Lizana, Yurilev Chalco-Cano
Publication date: 13 November 2017
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://idus.us.es/xmlui/handle/11441/48135
Numerical optimization and variational techniques (65K10) Fuzzy and other nonstochastic uncertainty mathematical programming (90C70)
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Cites Work
- Calculus for interval-valued functions using generalized Hukuhara derivative and applications
- Generalized derivative and \(\pi \)-derivative for set-valued functions
- Differentials of fuzzy functions
- Duality theory in fuzzy mathematical programming problems with fuzzy coefficients
- Nonconvex fuzzy mappings and the fuzzy pre-variational inequality
- A generalization of Hukuhara difference and division for interval and fuzzy arithmetic
- Fuzzy optimization. Recent advances and applications
- Solutions of fuzzy differential equations based on generalized differentiability
- Generalized Hukuhara differentiability of interval-valued functions and interval differential equations
- The optimality conditions for optimization problems with convex constraints and multiple fuzzy-valued objective functions
- Generalized convex fuzzy mappings and fuzzy variational-like inequality
- On the fuzzy initial value problem
- On convex and concave fuzzy mappings
- Fuzzy mathematical programming. Methods and applications
- Fuzzy multiple objective decision making. Methods and applications
- Duality theorems in fuzzy mathematical programming problems based on the concept of necessity.
- On invex fuzzy mappings and fuzzy variational-like inequalities
- Evaluate fuzzy optimization problems based on biobjective programming problems
- Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
- Optimality conditions of type KKT for optimization problem with interval-valued objective function via generalized derivative
- An overview of flexibility and generalized uncertainty in optimization
- Newton method for solving the multi-variable fuzzy optimization problem
- Possibilistic linear programming: A brief review of fuzzy mathematical programming and a comparison with stochastic programming in portfolio selection problem
- The Karush-Kuhn-Tucker optimality conditions for multi-objective programming problems with fuzzy-valued objective functions
- Generalized differentiability of fuzzy-valued functions
- A note on generalized convexity for fuzzy mappings through a linear ordering
- Convex fuzzy mapping with differentiability and its application in fuzzy optimization
- The Karush-Kuhn-Tucker optimality conditions for the optimization problem with fuzzy-valued objective function
- Directional derivatives and subdifferential of convex fuzzy mappings and application in convex fuzzy programming
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