TR Dizin İndeksli Yayınlar Koleksiyonu / TR Dizin Indexed Publications Collection
Permanent URI for this collectionhttps://hdl.handle.net/20.500.14365/4
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Article Citation - WoS: 4Citation - Scopus: 5Discrete Distributions Connected With the Bivariate Binomial(Hacettepe Univ, Fac Sci, 2010) Bairamov I.; Gultekin, O. Elmastas; Bairamov, I.A new class of multivariate discrete distributions with binomial and multinomial marginals is studied. This class of distributions is obtained in a natural manner using probabilistic properties of the sampling model considered. Some possible applications in game theory, life testing and exceedance models for order statistics are discussed.Article Citation - WoS: 7Citation - Scopus: 8Interval Type-2 Fuzzy C-Control Charts Using Ranking Methods(Hacettepe Univ, Fac Sci, 2019) Teken, Hatice Ercan; Anagun, Ahmet Sermet; Teksen, Hatice ErcanControl charts are important for process or product because they provide information about the control situation of process and product. Because of this feature, control charts are used in many fields. Information about the product and/or process, which is under control or not, can be provided by looking the control charts. Fuzzy numbers are used to reduce information losses in operations with crisp numbers. In control charts applications, especially for qualitative control charts, the fuzzy set theory reduces the information losses and provide more flexible decision-making process. In the literature, there are some fuzzy control charts with type-1 fuzzy sets but there are few studies about fuzzy control charts regarding the cases where the data are expressed by type-2 fuzzy sets. The purpose of the study is to create an innovation using the ranking methods, which has not used for control charts in accessible literature, for the fuzzy control charts with interval type-2 fuzzy sets. The fuzzy results are compared with the crisp results. This study introduces ranking methods as new approach to generate interval type-2 fuzzy control charts, which is a different field.Article Citation - WoS: 17Citation - Scopus: 20Lucas Polynomial Solution of Nonlinear Differential Equations With Variable Delays(Hacettepe Univ, Fac Sci, 2020-04-02) Gumgum, Sevin; Savasaneril, Nurcan Baykus; Kürkçü, ÖmÜr Kıvanç; Sezer, Mehmet; Kürkҫü, Ömür KıvanҫIn this study, a novel matrix method based on Lucas series and collocation points has been used to solve nonlinear differential equations with variable delays. The application of the method converts the nonlinear equation to a matrix equation which corresponds to a system of nonlinear algebraic equations with unknown Lucas coefficients. The method is tested on three problems to show that it allows both analytical and approximate solutions.Article Weak Solutions of a Hyperbolic-Type Partial Dynamic Equation in Banach Spaces(Hacettepe Univ, Fac Sci, 2015-01-01) Yantir, Ahmet; Soyoğlu, DuyguIn this article, we prove an existence theorem regarding the weak solutions to the hyperbolic-type partial dynamic equation z(Gamma Delta)(x, y) = f(x, y, z(x, y)), x(x, 0) = 0, z(0, y) = 0 , x is an element of T-1, y is an element of T-2 in Banach spaces. For this purpose, by generalizing the definitions and results of Cichon et. al. we develop weak partial derivatives, double integrability and the mean value results for double integrals on time scales. DeBlasi measure of weak noncompactness and Kubiaczyk's fixed point theorem for the weakly sequentially continuous mappings are the essential tools to prove the main result.Article Citation - WoS: 1Citation - Scopus: 1Distinguishability of a Source Function in a Time Fractional Inhomogeneous Parabolic Equation With Robin Boundary Condition(Hacettepe Univ, Fac Sci, 2016-01-01) Özbilge Kahveci, Ebru; Demir, Ali; Özbilge, EbruThis article deals with the mathematical analysis of the inverse problem of identifying the distinguishability of input-output mappings in the linear time fractional inhomogeneous parabolic equation D(t)(alpha)u(x, t) = (k(x)u(x))(x) + F(x, t) 0 < alpha <= 1, with Robin boundary conditions u(0, t) = psi(0)(t), u(x)(1,t ) = gamma(u(1, t) - psi(1)(t)). By defining the input-output mappings Phi[.] : K -> C-1[0, T] and Psi[.] : K -> C[0, T] the inverse problem is reduced to the problem of their invertibility. Hence, the main purpose of this study is to investigate the distinguishability of the input-output mappings Phi[.] and Psi[.]. Moreover, the measured output data f(t) and h(t) can be determined analytically by a series representation, which implies that the input-output mappings Phi[.] : K -> C-1[0, T] and Psi[.] : K -> C[0, T] can be described explicitly.