TR-Dizin İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12573/396
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Article Survo bulmacasının oluşturulması ve çözülmesı̇ ı̇çı̇n tamsayılı programlama formülasyonu(2025) Sungur, Banu; Erciyes, FatmanurBulmacalar genellikle eğlence için üretilir ancak aynı zamanda matematiksel veya mantıksal problemlerdir. Her bulmacanın kendine özgü bir mantığı ve matematiği vardır. Altta yatan mantığı kavrayıp modelleyebildiğimizde bulmacalar daha anlaşılır hale gelir. Bu nedenle bulmacalar bilim insanlarının ilgisini çeken bir araştırma alanı oluşturmaktadır. Mantık bulmacalarından biri de Survo bulmacasıdır. Bu bulmacayı oluşturmak ve çözmek için bir tamsayılı doğrusal programlama modeli formüle edilmiştir. Formülasyonun geçerliliğini göstermek için açıklayıcı örnekler verilmiştir. Modelin etkinliği internette bulunan Survo bulmacaları çözülerek test edilmiştir. Çözümler kısa işlemci sürelerinde elde edilmiştir. Daha sonra, modellerin etkinliği deneysel hesaplamalar kullanılarak analiz edilmiştir. Hesaplama sonuçları bir dizi Survo bulmaca örneği üzerinden elde edilmiştir. Önerilen matematiksel model, 50x50 boyutuna kadar bulmacaları kısa CPU sürelerinde, maksimum 254 saniyede üretmiştir. 15x15 boyutuna kadar olan bulmacalar çözülmüştür.Article Dynamical Behavior of Solutions to Higher-Order System of Fuzzy Difference Equations(2025-06-30) Yazlik, Yasin; Topan, Osman; Atpınar, SevdaIn this paper, we concentrate on the global behavior of the fuzzy difference equations system with higher order αn+1 = τ1 + αn ∑m i=1 βn−i , βn+1 = τ2 + βn ∑m i=1 αn−i , n ∈ N0, where αn, βn are positive fuzzy number sequences, parameters τ1, τ2 and the initial values α−i, β−i, i ∈ {0, 1, . . . , m}, are positive fuzzy numbers. Firstly, we show the existence and unique- ness of the positive fuzzy solution to the mentioned system. Furthermore, we are searching for the boundedness, persistence and convergence of the positive solution to the given system. Finally, we give some numerical examples to show the efficiency of our results.Article Solutions to Nonlinear Second-Order Three-Point Boundary Value Problems of Dynamic Equations on Time Scales(Tubitak Scientific & Technological Research Council Turkey, 2019-05-29) Dogan, AbdulkadirIn this paper, we consider existence criteria of three positive solutions of three-point boundary value problems for p-Laplacian dynamic equations on time scales. To show our main results, we apply the well-known Leggett-Williams fixed point theorem. Moreover, we present some results for the existence of single and multiple positive solutions for boundary value problems on time scales, by applying fixed point theorems in cones. The conditions we used in the paper are different from those in [Dogan A. On the existence of positive solutions for the one-dimensional p-Laplacian boundary value problems on time scales. Dynam Syst Appl 2015; 24: 295-304].Article New Proofs of Fejer's and Discrete Hermite-Hadamard Inequalities With Applications(Ankara Univ, Fac Sci, 2023-06-22) Sekin, Cagla; Tamar, Mehmet Emin; Aliyev, Ilham A.New proofs of the classical Fejer inequality and discrete Hermite-Hadamard inequality (HH) are presented and several applications are given, including (HH)-type inequalities for the functions, whose derivatives have inflection points. Morever, some estimates from below and above for the first moments of functions f : [a, b] -> R about the midpoint c = (a+b)/2 are obtained and the reverse Hardy inequality for convex functions f : (0, infinity) -> (0, infinity) is established.Article Model Updating of a Euler-Bernoulli Beam Using the Response Method(2021-05-31) Oktav, Akın; İnan, Cevher YusufIn this study, the computational model is updated using an analytical model instead of an experimental one. Continuous and discrete parameter models of a Euler–Bernoulli beam are constructed analytically and computationally. To construct the computational models, Ansys™ software is employed, and 1-D beam elements are chosen to get the finite element model of a cantilever beam. To get analytical solutions for the continuous and discrete parameter models, a state-space representation is employed. In the first step, only mass and stiffness matrices are considered to model the beam. Eigenfrequencies and eigenvectors of the beam are calculated. The analytical and computational eigenfrequencies of continuous and discrete parameter models are compared. In the seconds step, non-proportional viscous damping and non-proportional structural damping matrices are introduced into the analytical discrete parameter model. Then, the frequency response functions of the model are generated. The damping matrices are identified using the generated frequency response functions. The damping matrices used in the analytical model, and the damping matrices identified using the frequency response functions are compared. It is observed that the assigned damping matrices and the identified damping matrices are identical, which shows that the computational model can be accurately updated provided the FRFs are available.Article Citation - WoS: 3Citation - Scopus: 3MicroRNA Prediction Based on 3D Graphical Representation of RNA Secondary Structures(Tubitak Scientific & Technological Research Council Turkey, 2019-08-05) Sacar Demirci, Muserref Duygu; Demirci, Müşerref Duygu SaçarMicroRNAs (miRNAs) are posttranscriptional regulators of gene expression. While a miRNA can target hundreds of messenger RNA (mRNAs), an mRNA can be targeted by different miRNAs, not to mention that a single miRNA might have various binding sites in an mRNA sequence. Therefore, it is quite involved to investigate miRNAs experimentally. Thus, machine learning (ML) is frequently used to overcome such challenges. The key parts of a ML analysis largely depend on the quality of input data and the capacity of the features describing the data. Previously, more than 1000 features were suggested for miRNAs. Here, it is shown that using 36 features representing the RNA secondary structure and its dynamic 3D graphical representation provides up to 98% accuracy values. In this study, a new approach for ML-based miRNA prediction is proposed. Thousands of models are generated through classification of known human miRNAs and pseudohairpins with 3 classifiers: decision tree, naive Bayes, and random forest. Although the method is based on human data, the best model was able to correctly assign 96% of nonhuman hairpins from MirGeneDB, suggesting that this approach might be useful for the analysis of miRNAs from other species.Article Existence of Positive Solutions for Nonlinear Multipoint P-Laplacian Dynamic Equations on Time Scales(Tubitak Scientific & Technological Research Council Turkey, 2020-05-08) Dogan, AbdulkadirIn this paper, we investigate the existence of positive solutions for nonlinear multipoint boundary value problems for p-Laplacian dynamic equations on time scales with the delta derivative of the nonlinear term. Sufficient assumptions are obtained for existence of at least twin or arbitrary even positive solutions to some boundary value problems. Our results are achieved by appealing to the fixed point theorems of Avery-Henderson. As an application, an example to demonstrate our results is given.Article Citation - WoS: 1Citation - Scopus: 1Existence Results for a Class of Boundary Value Problems for Fractional Differential Equations(Tubitak Scientific & Technological Research Council Turkey, 2021-05-20) Dogan, AbdulkadirBy application of some fixed point theorems, that is, the Banach fixed point theorem, Schaefer's and the LeraySchauder fixed point theorem, we establish new existence results of solutions to boundary value problems of fractional differential equations. This paper is motivated by Agarwal et al. (Georgian Math. J. 16 (2009) No.3, 401-411).Article Citation - WoS: 2Citation - Scopus: 3An Asymptotic-Numerical Hybrid Method for Singularly Perturbed System of Two-Point Reaction-Diffusion Boundary-Value Problems(Tubitak Scientific & Technological Research Council Turkey, 2019-01-18) Cengizci, Suleyman; Natesan, Srinivasan; Atay, Mehmet TankThis article focuses on the numerical approximate solution of singularly perturbed systems of second-order reaction-diffusion two-point boundary-value problems for ordinary differential equations. To handle these types of problems, a numerical-asymptotic hybrid method has been used. In this hybrid approach, an efficient asymptotic method, the so-called successive complementary expansion method (SCEM) is employed first, and then a numerical method based on finite differences is applied to approximate the solution of corresponding singularly perturbed reaction-diffusion systems. Two illustrative examples are provided to demonstrate the efficiency, robustness, and easy applicability of the present method with convergence properties.Article Multilevel Thresholding for Brain MR Image Segmentation Using Swarm-Based Optimization Algorithms(2024-09-03) Sahin, Omur; Kurban, Rifat; Toprak, Ahmet NusretBir görüntüyü bölüt adı verilen çeşitli piksel kümelerine ayırma işlemi olan görüntü bölütleme, görüntü işlemede önemli bir tekniktir. Görüntü bölütleme, görüntünün karmaşıklığını azaltmakta ve görüntüyü bölütlere ayırarak analiz edilmesini kolaylaştırmaktadır. Görüntü bölütlemenin en basit ancak etkin yollarından biri, piksellerin değerlerine göre birden çok bölgeye ayrıldığı çok düzeyli eşiklemedir. Bu çalışma, yaygın kullanılan sürü tabanlı optimizasyon algoritmalarının beyin MR görüntülerinde çok düzeyli eşikleme tabanlı görüntü bölütleme performansını araştırmayı ve karşılaştırmayı amaçlamaktadır. Yedi sürü zekâsı temelli optimizasyon algoritması: Parçacık Sürü Optimizasyonu (PSO), Yapay Arı Kolonisi (ABC), Gri Kurt Optimize Edici (GWO), Güve Alevi Optimizasyonu (MFO), Karınca Aslanı Optimizasyonu (ALO), Balina Optimizasyonu (WOA) ve Denizanası Arama Optimizasyon (JS) eşik seviyelerini belirlemek üzere beyin MR görüntülerine uygulanarak karşılaştırılmaktadır. Bahsi geçen algoritmalar ile yapılan deneylerde minimum çapraz entropi ve sınıflar arası varyans amaç fonksiyonları kullanılmıştır. Kapsamlı deneyler, JS, ABC ve PSO algoritmalarının daha iyi performans sergilediğini göstermektedir.