التفاصيل البيبلوغرافية
| العنوان: |
A Theoretical Framework for Optimality Conditions of Nonlinear Type-2 Interval-Valued Unconstrained and Constrained Optimization Problems Using Type-2 Interval Order Relations |
| المؤلفون: |
Md Sadikur Rahman, Ali Akbar Shaikh, Irfan Ali, Asoke Kumar Bhunia, Armin Fügenschuh |
| المصدر: |
Mathematics, Vol 9, Iss 8, p 908 (2021) |
| بيانات النشر: |
MDPI AG, 2021. |
| سنة النشر: |
2021 |
| المجموعة: |
LCC:Mathematics |
| مصطلحات موضوعية: |
type-2 interval, type-2 interval order relations, type-2 interval-valued function, optimality, generalized KKT conditions, Mathematics, QA1-939 |
| الوصف: |
In the traditional nonlinear optimization theory, the Karush-Kuhn-Tucker (KKT) optimality conditions for constrained optimization problems with inequality constraints play an essential role. The situation becomes challenging when the theory of traditional optimization is discussed under uncertainty. Several researchers have discussed the interval approach to tackle nonlinear optimization uncertainty and derived the optimality conditions. However, there are several realistic situations in which the interval approach is not suitable. This study aims to introduce the Type-2 interval approach to overcome the limitation of the classical interval approach. This study introduces Type-2 interval order relation and Type-2 interval-valued function concepts to derive generalized KKT optimality conditions for constrained optimization problems under uncertain environments. Then, the optimality conditions are discussed for the unconstrained Type-2 interval-valued optimization problem and after that, using these conditions, generalized KKT conditions are derived. Finally, the proposed approach is demonstrated by numerical examples. |
| نوع الوثيقة: |
article |
| وصف الملف: |
electronic resource |
| اللغة: |
English |
| تدمد: |
2227-7390 |
| Relation: |
https://www.mdpi.com/2227-7390/9/8/908; https://doaj.org/toc/2227-7390 |
| DOI: |
10.3390/math9080908 |
| URL الوصول: |
https://doaj.org/article/7f0650f7260e4a4bbb49e91c3adb8112 |
| رقم الانضمام: |
edsdoj.7f0650f7260e4a4bbb49e91c3adb8112 |
| قاعدة البيانات: |
Directory of Open Access Journals |
Full Text Finder