Polat, Refet

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Profile URL
https://gcris.yasar.edu.tr/handle/123456789/11909
Name Variants
Job Title
Doç.Dr.
Email Address
Main Affiliation
01.01.02.02. Matematik Bölümü
Status
Current Staff
Website
ORCID ID
0000-0001-9761-8787
Scopus Author ID
54401461400
Turkish CoHE Profile ID
Google Scholar ID
B9JnasMAAAAJ
WoS Researcher ID
R-8150-2019
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refet.polat.jpg (7.49 KB)

Sustainable Development Goals

NO POVERTY1
NO POVERTY
0
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ZERO HUNGER2
ZERO HUNGER
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GOOD HEALTH AND WELL-BEING3
GOOD HEALTH AND WELL-BEING
0
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QUALITY EDUCATION4
QUALITY EDUCATION
1
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GENDER EQUALITY5
GENDER EQUALITY
0
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CLEAN WATER AND SANITATION6
CLEAN WATER AND SANITATION
0
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AFFORDABLE AND CLEAN ENERGY7
AFFORDABLE AND CLEAN ENERGY
0
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DECENT WORK AND ECONOMIC GROWTH8
DECENT WORK AND ECONOMIC GROWTH
0
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INDUSTRY, INNOVATION AND INFRASTRUCTURE9
INDUSTRY, INNOVATION AND INFRASTRUCTURE
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REDUCED INEQUALITIES10
REDUCED INEQUALITIES
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SUSTAINABLE CITIES AND COMMUNITIES11
SUSTAINABLE CITIES AND COMMUNITIES
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RESPONSIBLE CONSUMPTION AND PRODUCTION12
RESPONSIBLE CONSUMPTION AND PRODUCTION
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CLIMATE ACTION13
CLIMATE ACTION
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LIFE BELOW WATER14
LIFE BELOW WATER
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LIFE ON LAND15
LIFE ON LAND
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PEACE, JUSTICE AND STRONG INSTITUTIONS16
PEACE, JUSTICE AND STRONG INSTITUTIONS
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PARTNERSHIPS FOR THE GOALS17
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Documents

9

Citations

34

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Scholarly Output

23

Articles

11

Views / Downloads

0/0

Supervised MSc Theses

7

Supervised PhD Theses

1

WoS Citation Count

32

Scopus Citation Count

40

Patents

0

Projects

1

WoS Citations per Publication

1.39

Scopus Citations per Publication

1.74

Open Access Source

5

Supervised Theses

8

JournalCount
7th International Conference on Management Science and Engineering Management ICMSEM 20132
Journal of Applied Mathematics2
Advanced Mathematical Models & Applications1
Applied and Computational Mathematics1
Computational Economics1
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  • Thumbnail Image
    Conference Object
    Citation - WoS: 1
    Citation - Scopus: 1
    A Feature Selection Application Using Particle Swarm Optimization for Learning Concept Detection
    (SPRINGER-VERLAG BERLIN, 2017) Korhan Gunel; Kazim Erdogdu; Refet Polat; Yasin Ozarslan; Polat, Refet; Erdogdu, Kazim; Ozarslan, Yasin; Gunel, Korhan; A Rocha; AM Correia; H Adeli; LP Reis; S Costanzo
    Recent developments of computational intelligence on educational technology yield concept map mining as a new research area. Concept map mining covers the extraction of learning concepts specifying relations among them and generating a concept map from educational contents. In this study we focused on determining the features that characterize a learning concept extracted from an educational text as raw data. The first three features are detected by using a hybrid system of Multi Layer Perceptron (MLP) and Particle Swarm Optimization (PSO) and the performance of the applied method is gauged in the viewpoint of a typical classification problem.
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    Article
    Citation - Scopus: 2
    Expanded lie group transformations and similarity reductions for the celebrity black-scholes equation in finance
    (Azerbaijan National Academy of Sciences, 2014) Refet Polat; Turgut Ozis; Ozis, T.; Polat, R.
    In this study we consider continuous groups of transformations acting on expanded space of variables which includes the equation parameters in addition to independent and dependent variables. We have shown that the use of the expanded transformations and similarity reductions enable us to reduce celebrity Black-Scholes equation to formerly unknown reduced (target) ordinary differential equations. Moreover the obtained reduced ordinary equations are used to find the exact solution of celebrity Black-Scholes equation in finance. © 2023 Elsevier B.V. All rights reserved.
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    Master Thesis
    Graflarda zedelenebilirlik ve komşu ayrıt kopma derecesi
    (2016) Polat, Dilek; Polat, Refet
    This thesis is mainly consist of five sections. In the first part the graphs which are the subject of this thessis has been introdiced. In the second some fundemental desciriptions and properties have been presented to understand the thesis easily. In the thırd part, the description of the vulnarability of graphs has been introduced and the brief summary of the vulnarability of the parameters which has been studied so far has been presented. In the third par, the degree of the rupture and the descriptions of the degree of neighbour rupture and the properties of these parameters have been introduced. In the fourth part, the degree of the neighbour edge rupture and the descriptions and properities about neighbour edge rupture of the middle graphs have been examined. The middle graphs have been defined and the theories about neighbour edge rupture about middle graphs of spesific graphs have found and proved. Finally; in the fifth part, discussion and conclusion part is given.
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    Master Thesis
    Graf işlemleri üzerinde zedelenebilirlik parametreleri
    (2012) Eskiizmirliler, Saadet; Turan, Gökşen Bacak; Polat, Refet
    Bir iletişim ağında, belli merkezlerin ya da bağlantıların zarar görmesinden sonra, iletişim kesilene kadar geçen süredeki ağın dayanma gücünün ölçümüne, zedelenebilirlik değeri denir. Bir iletişim ağı, zedelenebilirlik değerinin belirlenebilmesi için, merkezleri bir grafın tepelerine, bağlantıları grafın ayrıtlarına karşılık gelecek şekilde bir graf ile modellenir. Bilinen zedelenebilirlik parametrelerinden bazıları Connectivity (Bağlantılılık), Integrity (Bütünlük), Neighbor Integrity (Komşu Bütünlük), Rupture Degree, Neighbor Rupture Degree, Toughness, Tenacity, Scattering Sayısı?dır. Bu tezde komşu rupture dereceleri üzerine çalışılmıştır. Bazı özel graflara graf işlemleri uygulanmış ve komşu rupture dereceleri hesaplanmıştır. Son olarak total graflar ve tümleyenleri incelenmiş neighbor rupture dereceleri hesaplanmıştır. Anahtar Sözcükler: Zedelenebilirlik, Rupture Derecesi, Komşu Rupture Derecesi, Graf İşlemleri, Total Graflar.
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    Article
    ALGORITHMIC APPROACH TO BITONIC ALGEBRAS AND THEIR GRAPHS
    (Bayram Sahin, 2024) Şule Ayar Özbal; Refet Polat; Saadet Eskiizmirliler; Mehmet Kurt; Kurt, Mehmet; Polat, Refet; Ozbal, Sule Ayar; Eskiizmirliler, Saadet
    Under the aim of this paper we establish the terms of graphs related with bitonic-algebras which is a bitonic-graph where the vertices are the elements of bitonic algebra and where the edges are the companian of two vertices that is two elements from bitonic algebra. We designate the upper sets of elements in a bitonic algebra and studied properties of these sets. We state algorithms to check whether the given set is a bitonic algebra or a commutative bitonic algebra or not. Additionally we mention the codes of these algorithms. Moreover we associate the algorithms of graphs of a bitonic algebra and state properties of these graphs obtained. © 2024 Elsevier B.V. All rights reserved.
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    Master Thesis
    The Laplace Transformation Applied to Differential Equations and Their Applications
    (2015) Dereli, Seçil; Polat, Refet
    Bu tezin ilk bölümünde Matematik, Laplace dönüşümü ve diferansiyel denklem hakkında bir giriş verilmiştir. İkinci bölümünde Laplace dönüşümü ve ters Laplace dönüşümü hakkında temel bilgiler vardır. Üçüncü bölümde Laplace dönüşümü ile alakalı incelenen makaleler, karşılaştırmaları ve sonuçları verilmiştir. Dördüncü bölümde ise Laplace dönüşümünün uygulamaları verilmiştir.
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    Doctoral Thesis
    Black-Scholes kısmi diferansiyel denkleminin yapay sinir ağları ile çözümü üzerine
    (2019) Eskiizmirliler, Saadet; Polat, Refet; Günel, Korhan
    Black-Scholes modeli temettü ödemesi yapmayan Avrupa tipi opsiyonların fiyatlarını hesaplamak üzere 1973 yılında Fisher Black ve Myran Scholes tarafından geliştirilmiştir. Robert C. Merton'un yeni bir çözüm önerisi ile model literatürde Black-Scholes-Merton olarak isimlendirilmeye başlanmıştır. 1997 yılında bu çalışmaları sayesinde, Merton ve Scholes, Ekonomi alanında Nobel Ödülü almışlardır. Yapay sinir ağları (YSA) biyolojik sinir sistemlerinden esinlenerek oluşturulan matematiksel modellerdir. Bu ağlar beyin yeteneklerine adaptif olmuştur ve bu durum makineler beyin gibi öğrenir olarak açıklanabilir. Yapay sinir ağları kullanılarak diferansiyel denklemlerin çözülmesi 1990'lı yıllarda başlamış ve son dönemlerde artmıştır. Bu çalışmadaki amaç, Black-Scholes Probleminin YSA yöntemi ile yaklaşık çözümünü bulmak ve literatürde yer alan yaklaşık analitik çözümü ile karşılaştırmaktır.
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    Master Thesis
    Lineer adi diferensiyel denklemler çözüm yöntemlerinin karşılaştırılması ve uygulamaları
    (2016) Ayvaz, Cansu; Polat, Refet
    Bu tezin ilk bölümünde diferansiyel denklemlerin oluşumundan bahsedilmiş ve ilgili tanımlar verilmiştir. İkinci bölümünde çözüme ulaşmak için gerekli metotlar vardır. Uygulamalı matematikte yöntem farklı tipte operatörler için analitik ve yaklaşık çözümler elde etmede etkili bir prosedürdür. Üçüncü bölümde lineer adi diferansiyel denklemler ile ilgili incelenen makaleler, ve sentezi verilmiştir. Dördüncü bölümde ise lineer adi diferansiyel denklemlerin ekonomi, biyoloji, mekanik gibi çeşitli alanlarda uygulamaları verilmiştir. Son olarak beşinci bölümde sonuç verilmiştir.
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    Conference Object
    EDGE-NEIGHBOR-RUPTURE DEGREE OF GRAPHS AND EXAMINED ON THORNY GRAPH
    (BAKU STATE UNIV INST APPLIED MATHEMATICS, 2018) Saadet Eskiizmirliler; Zeynep Ors Yorgancioglu; Refet Polat; Mehmet Umit Gursoy; Yorgancioglu, Zeynep Ors; Gursoy, Mehmet Umit; Polat, Refet; Eskiizmirliler, Saadet; A Fikret; B Tamer
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    Article
    Citation - WoS: 3
    Citation - Scopus: 3
    Weak subdifferential in nonsmooth analysis and optimization
    (Hindawi Publishing Corp, 2011) Shahlar Meherrem; Refet Polat; Meherrem, Sahlar F.; Meherrem, Ahlar F.; Polat, Refet
    Some properties of the weak subdifferential are considered in this paper. By using the definition and properties of the weak subdifferential which are described in the papers (Azimov and Gasimov 1999, Kasimbeyli and Mammadov 2009, Kasimbeyli and Inceoglu 2010) the author proves some theorems connecting weak subdifferential in nonsmooth and nonconvex analysis. It is also obtained necessary optimality condition by using the weak subdifferential in this paper. Copyright © 2011 ahlar F. Meherrem and Refet Polat. © 2011 Elsevier B.V. All rights reserved.