https://hdl.handle.net/20.500.12809/23 Sat, 04 Apr 2026 19:32:48 GMT 2026-04-04T19:32:48Z https://hdl.handle.net/20.500.12809/10948 Bir Kobi'nin Banka Seçim Sürecinde Aralık Tip 2 Bulanık AHP Yöntemi Uygulaması Aydoğmuş, Ufuk; Yumurtacı Aydoğmuş, Hacer; Karaman, Davut; Yıldız, Ali; Can, Melih The banking sector is vital for world economies. Although there are broader definitions, the banking sector can be expressed as a sub-sector of the larger financial services industry, which also includes sub-sectors focusing on insurance, venture capital and private equity. One of the most important functions of the said sector is to protect the assets of depositors and to provide loans to individuals and businesses. Individuals consider many criteria in order to receive this service and choose the most suitable bank for them and work with that bank. It is known that the biggest challenge in front of the growth of small and medium-sized enterprises (SMEs) is the lack of access to finance. It is important that bank financings can be the main potential source of external financing for the growth of SMEs and on which criteria the bank should be selected based on which this financing can be provided. In this direction, the criteria and sub-criteria that SMEs consider during the bank selection stage were determined in the study and the most suitable alternative bank was selected by using the Interval Type 2 Fuzzy AHP method.; Bankacılık sektörü, dünya ekonomileri için hayati önem taşımaktadır. Daha geniş tanımları bulunmakla birlikte bankacılık sektörü, sigorta, risk sermayesi ve özel sermayeye odaklanan alt sektörleri de içeren daha büyük finansal hizmetler endüstrisinin bir alt sektörü olarak ifade edilebilmektedir. Söz konusu sektörün en önemli işlevlerinden birisi de, mevduat sahiplerinin varlıklarını korumak, kişilere ve işletmelere kredi vermektir. Bireyler bu hizmeti alabilmek için bir çok kriteri göz önünde bulundurmakta ve kendilerine en uygun bankayı seçerek, o bankayla çalışmaktadır. Özellikle küçük ve orta boy işletme (KOBİ)'lerin büyümesinin önündeki en büyük zorluğun finansmana erişim eksikliği olduğu bilinmektedir. Banka finansmanlarının KOBİ'lerin büyümesi için ana potansiyel dış finansman kaynağı olabileceği ve bu finansmanın sağlanabileceği bankayı hangi kriterleri baz alarak seçmesi gerektiği önem arz etmektedir. Bu doğrultuda çalışmada KOBİ'lerin banka seçimi aşamasında göz önünde bulundurdukları kriterler ve alt kriterler belirlenmiş ve Aralık Tip 2 Bulanık AHP yöntemi kullaılarak en uygun alternatif bankanın seçimi gerçekleştirilmiştir. Sun, 01 Jan 2023 00:00:00 GMT https://hdl.handle.net/20.500.12809/10948 2023-01-01T00:00:00Z https://hdl.handle.net/20.500.12809/10929 The effect of fractional order mathematical modelling for examination of academic achievement in schools with stochastic behaviors Uzun, Pelin Yaprakdal; Uzun, Kıvanç; Koca, İlknur Academic achievement is very important, as it enables students to be well-equipped for professional and social life and shapes their future. In the case of a possible academic failure, students generally face many cognitive, social, psychological, and behavioral problems. This problem experienced by the students has been addressed with the mathematical model in this study. This mathematical model will be handled with the help of the fractional operator, and the existence, uniqueness, and positivity of the solutions to the model equation system will be examined. In addition, local and global stability analyses of the equilibrium points of the model are planned. Numerical simulations are performed with different values of fractional orders and densities of randomness. This study is very important in terms of its original and multidisciplinary approach to a subject in the field of social sciences. Sun, 01 Jan 2023 00:00:00 GMT https://hdl.handle.net/20.500.12809/10929 2023-01-01T00:00:00Z https://hdl.handle.net/20.500.12809/10918 Theoretical and numerical analysis of a chaotic model with nonlocal and stochastic differential operators Koca, İlknur; Atangana, Abdon A set of nonlinear ordinary differential equations has been considered in this paper. The work tries to establish some theoretical and analytical insights when the usual time-deferential operator is replaced with the Caputo fractional derivative. Using the Caratheodory principle and other additional conditions, we established that the system has a unique system of solutions. A variety of well-known approaches were used to investigate the system. The stochastic version of this system was solved using a numerical approach based on Lagrange interpolation, and numerical simulation results were produced. Sun, 01 Jan 2023 00:00:00 GMT https://hdl.handle.net/20.500.12809/10918 2023-01-01T00:00:00Z https://hdl.handle.net/20.500.12809/10817 Financial model with chaotic analysis Koca, İlknur Recently, it was proposed to use a brand-new set of nonlinear ordinary differential equations. The system aims to represent chaotic financial activities. Such a system was taken into consideration for various analyses in this paper. For each of the three axes, we first evaluated the nullcline points and then gave the formula for the associated Poincare mapping. With various differential operators, we have analyzed the existence and uniqueness of systems of solutions. We have numerically solved the model using the well-known Nystrom in the case of the classical model and the Midpoint in the case of fractional derivatives. Sun, 01 Jan 2023 00:00:00 GMT https://hdl.handle.net/20.500.12809/10817 2023-01-01T00:00:00Z