A modified quasi-Newton method for vector optimization problem

MAT Ansary, G Panda - Optimization, 2015 - Taylor & Francis
In this paper, existence of critical point and weak efficient point of vector optimization
problem is studied. A sequence of points in n-dimension is generated using positive definite …

Approximate solutions of multiobjective optimization problems

TD Chuong, DS Kim - Positivity, 2016 - Springer
This paper provides some new results on approximate Pareto solutions of a multiobjective
optimization problem involving nonsmooth functions. We establish Fritz-John type necessary …

E-Benson proper efficiency in vector optimization

KQ Zhao, XM Yang - Optimization, 2015 - Taylor & Francis
Starting from the innovative ideas of Chicco et al.(Vector optimization problems via
improvement sets. J. Optim. Theory Appl. 2011; 150: 516–529), in this paper, the concepts of …

Optimality, scalarization and duality in linear vector semi-infinite programming

N Kanzi, J Shaker Ardekani, G Caristi - Optimization, 2018 - Taylor & Francis
In this paper, we introduce some qualification conditions for a linear vector semi-infinite
programming problem. The new qualification conditions are used for development of …

A revised pascoletti–serafini scalarization method for multiobjective optimization problems

F Akbari, M Ghaznavi, E Khorram - Journal of Optimization Theory and …, 2018 - Springer
The presented study deals with the scalarization techniques for solving multiobjective
optimization problems. The Pascoletti–Serafini scalarization technique is considered, and it …

Optimality conditions via a unified direction approach for (approximate) efficiency in multiobjective optimization

M Ghaznavi, F Akbari, E Khorram - Optimization Methods and …, 2021 - Taylor & Francis
The presented paper addresses scalarization techniques for multiobjective optimization
problems. A new scalarization technique for solving a general multiobjective optimization …

A comparative study of different algorithms and scalarization techniques for constructing the Pareto front of multiobjective optimization problems

F Akbari, E Khorram, M Ghaznavi - Optimization, 2024 - Taylor & Francis
This paper presents an analysis and comparison of various algorithms applied to different
scalarization methods for multiobjective optimization problems (MOPs). At first, some …

Approximate proper efficiency in vector optimization

K Zhao, G Chen, X Yang - Optimization, 2015 - Taylor & Francis
In recent years, some different kinds of approximate proper efficiency have been proposed
by means of different tools including co-radiant set and improvement set for a vector …

A combined scalarization method for multi-objective optimization problems.

Y **a, X Yang, K Zhao - Journal of Industrial & Management …, 2021 - search.ebscohost.com
In this paper, we propose a new combined scalarization method of multi-objective
optimization problems by using the surplus variables and the generalized Tchebycheff norm …

Optimality conditions via scalarization for approximate quasi efficiency in multiobjective optimization

M Ghaznavi - Filomat, 2017 - JSTOR
Approximate problems that scalarize and approximate a given multiobjective optimization
problem (MOP) became an important and interesting area of research, given that, in general …