Geodesic
Approximate proper efficiency for multiobjective optimization problems
Filomat, Tome 33 (2019) no. 18, p. 6091

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

This paper is devoted to the study of a new kind of approximate proper efficiency in terms of proximal normal cone and co-radiant set for multiobjective optimization problem. We derive some properties of the new approximate proper efficiency and discuss the relations with the existing approximate concepts, such as approximate efficiency and approximate Benson proper efficiency. At last, we study the linear scalarizations for the new approximate proper efficiency under the generalized convexity assumption and give some examples to illustrate the main results
DOI : 10.2298/FIL1918091G
Classification : 90C29, 90C30
Keywords: Multiobjective optimization problems, Proximal normal cone, Approximate properly efficiency, Linear scalarizations 
Ying Gao; Zhihui Xu. Approximate proper efficiency for multiobjective optimization problems. Filomat, Tome 33 (2019) no. 18, p. 6091 . doi: 10.2298/FIL1918091G
@article{10_2298_FIL1918091G,
     author = {Ying Gao and Zhihui Xu},
     title = {Approximate proper efficiency for multiobjective optimization problems},
     journal = {Filomat},
     pages = {6091 },
     year = {2019},
     volume = {33},
     number = {18},
     doi = {10.2298/FIL1918091G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL1918091G/}
}
TY  - JOUR
AU  - Ying Gao
AU  - Zhihui Xu
TI  - Approximate proper efficiency for multiobjective optimization problems
JO  - Filomat
PY  - 2019
SP  - 6091 
VL  - 33
IS  - 18
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL1918091G/
DO  - 10.2298/FIL1918091G
LA  - en
ID  - 10_2298_FIL1918091G
ER  - 
%0 Journal Article
%A Ying Gao
%A Zhihui Xu
%T Approximate proper efficiency for multiobjective optimization problems
%J Filomat
%D 2019
%P 6091 
%V 33
%N 18
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL1918091G/
%R 10.2298/FIL1918091G
%G en
%F 10_2298_FIL1918091G

Cité par Sources :