Ortogonal Olabilirlik Ortalama - Varyans Modeli

Year 2023, Volume: 6 Issue: Ek Sayı, 29 - 41, 20.12.2023

Furkan Göktaş

https://doi.org/10.47495/okufbed.1217550

Cited By: 2

Abstract

Olabilirlik teorisi, portföy seçimi probleminde en çok kullanılan araçlardan biridir. Çünkü kesin olmayan olasılığın modellenmesine ve uzman bilgisinin portföy seçimi problemine entegre edilmesine imkan verir. Ama olabilirlik ortalama - varyans (OV) modelinin ve bunun uzantılarının bazı sorunları vardır. Bu nedenle bu çalışmada kesin konveks kuadratik minimizasyona dayanan ortogonal olabilirlik OV modeli önerilmiştir. Ayrıca olabilirlik dağılımları üçgensel bulanık sayılar ile verildiğinde olabilirlik çarpıklığı tanımlanmıştır. Olabilirlik çarpıklığı önerilen modele kısıt olarak eklenebilir. Bu modelin analitik çözümü belirli şartlar altında elde edilmiştir. Ayrıca bu model açıklayıcı bir örnek ile tanıtılmıştır ve bu modelin sonuçları Olabilirlik OV modelinin sonuçları ile karşılaştırılmıştır.

Keywords

Portföy seçimi, Olabilirlik teorisi, Üçgensel bulanık sayılar, Konveks kuadratik minimizasyon, Uzman bilgisi, Olabilirlik çarpıklığı

Supporting Institution

Yok

Project Number

Yok

Thanks

Yok

Orthogonal Possibilistic Mean - Variance Model

Abstract

The possibility theory is one of the most used tools in portfolio selection problem. Because, it enables to model imprecise probability and integrate expert knowledge into portfolio selection problem. However, there are some problems in the possibilistic mean - variance (MV) model and its extensions. Therefore, in this study, we propose an orthogonal possibilistic MV model based on strictly convex quadratic minimization. We also define possibilistic skewness when possibility distributions are given with triangular fuzzy numbers. The possibilistic skewness can be added to the proposed model as a constraint. We derive its analytical solution under certain conditions. We also illustrate it with an explanatory example and compare its results with the results of the possibilistic MV model.

Keywords

Portfolio selection, Possibility theory, Triangular fuzzy numbers, Convex quadratic minimization, Expert knowledge, Possibilistic skewness

Project Number

Yok

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