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The Possibilistic Mean-Variance Model with Uncertain Possibility Distributions    
Yazarlar (1)
Doç. Dr. Furkan GÖKTAŞ Doç. Dr. Furkan GÖKTAŞ
Karabük Üniversitesi, Türkiye
Devamını Göster
Özet
The possibilistic mean–variance (MV) model is the counterpart of Markowitz’s MV model in the possibility theory. This study aims to examine the possibilistic MV model when the possibility distributions of stock returns are uncertain triangular fuzzy numbers. We define an uncertainty vector and use its ellipsoidal uncertainty set in a minimax optimization problem to model this uncertainty. We also show that this minimax optimization problem reduces to a strictly convex minimization problem. Thus, unlike the possibilistic MV model, we get diversified optimal portfolios uniquely with our approach. After laying down the theoretical points of our approach, we illustrate it with a real-world example in the literature by using a software package for convex optimization. To the best of our knowledge, this is the first paper that considers uncertain possibility distributions in the possibilistic MV model.
Anahtar Kelimeler
Makale Türü Özgün Makale
Makale Alt Türü ESCI dergilerinde yayımlanan tam makale
Dergi Adı Journal of Mehmet Akif Ersoy University Economics and Administrative Sciences Faculty
Dergi ISSN 2149-1658 Wos Dergi
Dergi Tarandığı Indeksler ESCI
Makale Dili İngilizce
Basım Tarihi 06-2024
Cilt No 11
Sayı 2
Sayfalar 535 / 550
Doi Numarası 10.30798/makuiibf.1389261
Makale Linki https://dergipark.org.tr/en/pub/makuiibf/issue/85701/1389261
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
The Possibilistic Mean-Variance Model with Uncertain Possibility Distributions

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