scholarly journals The $ F $-objective function method for differentiable interval-valued vector optimization problems

2017 ◽  
Vol 13 (5) ◽  
pp. 0-0
Author(s):  
Tadeusz Antczak ◽  
Keyword(s):  
Objective Function ◽  
Vector Optimization ◽  
Function Method ◽  
Optimization Problems ◽  
Vector Optimization Problems ◽  
Interval Valued

scholarly journals Interval-Valued Vector Optimization Problems Involving Generalized Approximate Convexity

2020 ◽  
Author(s):  
Mohsine Jennane ◽  
Lhoussain El Fadil ◽  
El Mostafa Kalmoun
Keyword(s):  
Variational Inequality ◽  
Vector Optimization ◽  
Optimization Problems ◽  
Efficient Solutions ◽  
Vector Optimization Problems ◽  
Sufficient Optimality Conditions ◽  
Approximate Convexity ◽  
Study Interval ◽  
Necessary And Sufficient ◽  
Interval Valued

Interval-valued functions have been widely used to accommodate data inexactness in optimization and decision theory. In this paper, we study interval-valued vector optimization problems, and derive their relationships to interval variational inequality problems, of both Stampacchia and Minty types. Using the concept of interval approximate convexity, we establish necessary and sufficient optimality conditions for local strong quasi and approximate $LU$-efficient solutions to nonsmooth optimization problems with interval-valued multiobjective functions.

Sign in / Sign up

Export Citation Format

Share Document