Open AccessOptimality and duality for complex multi-objective programming
Author(s) -
Tone-Yau Huang,
Tamaki Tanaka
Publication year - 2022
Publication title -
numerical algebra, control and optimization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.303
H-Index - 20
eISSN - 2155-3289
pISSN - 2155-3297
DOI - 10.3934/naco.2021055
Subject(s) - duality (order theory) , dual (grammatical number) , mathematical optimization , mathematics , parametric statistics , order (exchange) , computer science , discrete mathematics , economics , statistics , finance , art , literature
We consider a complex multi-objective programming problem (CMP). In order to establish the optimality conditions of problem (CMP), we introduce several properties of optimal efficient solutions and scalarization techniques. Furthermore, a certain parametric dual model is discussed, and their duality theorems are proved.