On first and second order multiobjective programming with interval-valued objective functions

The growing use of optimization models to help decision making has created a demand for such tools that allow formulating and solving more models of real-world processes and systems related to human activity in which hypotheses are not verify in a way specific for classical optimization. One of the...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Applicable analysis Ročník 103; číslo 6; s. 1098 - 1117
Hlavní autor: Antczak, Tadeusz
Médium: Journal Article
Jazyk:angličtina
Vydáno: Abingdon Taylor & Francis 12.04.2024
Taylor & Francis Ltd
Témata:
first and second order constraint qualifications
first order necessary optimality conditions
Kuhn-Tucker method
Mathematical programming
Multiple objective analysis
Optimization
Optimization models
second order necessary optimality conditions
Twice differentiable vector optimization problem with multiple interval-valued objective function
ISSN:0003-6811, 1563-504X
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Popis
Shrnutí:The growing use of optimization models to help decision making has created a demand for such tools that allow formulating and solving more models of real-world processes and systems related to human activity in which hypotheses are not verify in a way specific for classical optimization. One of the approaches for real-world extremum problems under uncertainty is interval-valued optimization. In this paper, a twice differentiable vector optimization problem with multiple interval-valued objective function and both inequality and equality constraints is considered. In this paper, the first order necessary optimality conditions of Karush-Kuhn-Tucker type are proved for differentiable interval-valued vector optimization problems under the first order constraint qualification. If the interval-valued objective function is assumed to be twice weakly differentiable and constraints functions are assumed to be twice differentiable, then two types of second order necessary optimality conditions under two various constraint qualifications are proved for such smooth interval-valued vector optimization problems. Finally, in order to illustrate the Karush-Kuhn-Tucker type necessary optimality conditions established in the paper, an example of an interval-valued optimization is given.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0003-6811
1563-504X
DOI:10.1080/00036811.2023.2232795