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Journals / Gazi University Journal of Science / 2020 / Volume: 33 Issue: 4

Optimality Conditions of Interval-Valued Optimization Problems by Using Subdifferantials

Emrah Karaman(KARABUK UNIVERSITY)0000-0002-0466-3827
Pages
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Publication Date
2020-12-01
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⚡ TL;DR(Too Long; Didn't Read)

After some properties including an existence condition of the subdifferentials are studied, optimality conditions including the necessary and sufficient conditions for interval optimization are obtained.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, interval-valued optimization problems (shortly, interval optimization) are considered.
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Key Findings & Data:In order to obtain optimality conditions of interval optimization, subdifferential and weak subdifferential are defined.
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Conclusion & Impact:After some properties including an existence condition of the subdifferentials are studied, optimality conditions including the necessary and sufficient conditions for interval optimization are obtained.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Optimization · Subdifferential · Optimality condition

Abstract

In this study, interval-valued optimization problems (shortly, interval optimization) are considered. In order to obtain optimality conditions of interval optimization, subdifferential and weak subdifferential are defined. After some properties including an existence condition of the subdifferentials are studied, optimality conditions including the necessary and sufficient conditions for interval optimization are obtained.

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Cite This Article

Karaman, E. (2020). Optimality Conditions of Interval-Valued Optimization Problems by Using Subdifferantials. Gazi University Journal of Science, Volume: 33 Issue: 4. https://doi.org/10.35378/gujs.619160

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