Yazar "Ceylan, Tahir" seçeneğine göre listele

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    Bulanık Parametreli İkinci Mertebeden Bulanık Sınır Değer Problemi
    (2020) Altınışık, Nihat; Ceylan, Tahir
    Bu makalede iki nokta sınır değer problemi genelleştirilmiş Hukuhara türevi (gh-türev) ile incelenmiştir. Bu yöntemin dört farklı çözümü vardır. Bu çözümler ayrı ayrı incelenerek elde edilen sonuçlar sunulmuştur. Yöntemin uygulanabilirliği bir örnekle gösterilmiştir.
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    FUZZY EIGENVALUE PROBLEM WITH EIGENVALUE PARAMETER CONTAINED IN THE BOUNDARY CONDITION
    (Editura Bibliotheca-Bibliotheca Publ House, 2018) Ceylan, Tahir; Altinisik, Nihat
    In this article two point fuzzy boundary value problems is defined under the approach generalized Hukuhara differentiability (gH-differentiability). The solution method of the fuzzy boundary value problem is examined with the aid of some initial value problems. This type of problem is associated with an operator in fuzzy Hilbert space. So, several theorems are given for the problem eigenvalues.
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    Intuitionistic fuzzy eigenvalue problem
    (Ramazan Yaman, 2024) Ceylan, Tahir
    The purpose of this paper is the study of the eigenvalues of the second order fuzzy boundary value problem (FBVP). By using the (alpha-beta )-level set of intuitionistic fuzzy numbers and Zadeh's extension principle, the FBVP is solved with the proposed method. Furthermore, a numerical example is illustrated and the advantages of the proposed approach are compared with other well-known methods such as the solutions based on the generalized Hukuhara derivative.
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    Modüler uzaylarda korovkin tipi yaklaşım teoremi ve matris toplanabilme
    (Sinop Üniversitesi, 2012) Ceylan, Tahir; Demirci, Kamil
    Bu yüksek lisans tezi üç bölümden oluşmaktadır.Birinci bölüm giriş için ayrılmıştır.İkinci bölümde toplanabilme ve pozitif lineer operatörler ile ilgili genel bilgi ve bunlara ilişkin bazı bilinen sonuçlar verilmiştir.Üçüncü bölümün birinci kısmında klasik Korovkin tipi teorem ve bu teoremin koşullarını sağlayan bir örnek verilmiştir. İkinci kısımda modüler uzaylara ait kavramlar tanıtılıp bunlara ilişkin örnekler ve bazı bilinen sonuçlar verilmiştir. Bu uzaylardaki yakınsamalar tanıtılıp bunların aralarındaki ilişkiler incelenmiştir. Üçüncü kısımda modüler uzayda matris toplanabilme metodu kullanılarak Korovkin tipi yaklaşım teoremi verilip bunlara ilişkin sonuçlar incelenmiştir. Daha sonra bu uzayda Korovkin tipi yaklaşım teoreminin koşulları, özel bir operatöre uygulanmıştır.
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    SOLVING FUZZY INITIAL VALUE PROBLEM WITH DIRAC DELTA FUNCTION USING FUZZY LAPLACE TRANSFORMS
    (Editura Bibliotheca-Bibliotheca Publ House, 2024) Ceylan, Tahir
    In this paper we investigate the solutions of second-order fuzzy initial value problem using the fuzzy Laplace transforms with Dirac delta function under the generalized differentiabilitiy. The related theorems and properties are given in detail and the method is illustrated by solving some examples.
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    THE EFFECT OF MICROBIOLOGICAL FACTOR ON THE EVALUATION OF WATER QUALITY USING FUZZY LOGIC
    (Editura Bibliotheca-Bibliotheca Publ House, 2020) Avsar, Cumhur; Ceylan, Tahir
    In this study, it was aimed to reveal the importance of microbiological factors in water quality determination studies based on fuzzy logic and to determine the usability of management in water quality. Six critical parameters for water quality detection are included. In the study of Avsar [1], only bacteriological data were emphasized, and no information was obtained about quantitative data on water quality. It was found that fecal coliform was more effective on the changes in water quality compared to fecal coliform and temperature based fuzzy quality indexes. When the fuzzy quality values were determined, the effect of seasonal changes did not appear to be high, but the change in pH and coliform values affected the quality. This showed that water quality assessment would not be accurate without microbiological data. As a result, the proposed data can be considered accurate and reliable, so we recommend that microbiological data should be included in the evaluation of water quality determination studies. In addition, we can say that fuzzy logic technique will be a comprehensive and reliable technique in the assessment of the quality of the streams that are used in irrigation, fishing and recreational areas.
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    The Proposal of Gamma Folded-Normal Distribution
    (2022) Altinisik, Yasin; Ceylan, Tahir; Cankaya, Emel
    Development of new flexible distributions for modeling non-negative measurements occuring in lifetime or reliability studies is a prominent research area in Statistics. As being the most favoured positive definite form, the Gamma distribution poses a basis for such improvements. It is well known that transforming a Gamma variable with another continuous random variable (X) creates Gamma-X family of distributions. Following this principle, we here attempted to define the X variable as Folded-Normal distributed which is also positive definite so as to propose a new family of distributions. Named as Gamma Folded-Normal distribution (GFN), our proposal is a generalization of Gamma Half-Normal distribution and contains more freely estimated parameters. This study evaluates some mathematical properties of GFN distribution such as moments and illustrates the estimation procedure for unknown parameters through a simulation study. A separate simulation is also conducted to compare the performance of this new distribution with the Folded-Normal, Half-Normal and Gamma Half-Normal distributions. Besides, the practical importance of our new proposal is illustrated by analyzing a real world data set.
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    TWO POINT FUZZY BOUNDARY VALUE PROBLEM WITH EXTENSION PRINCIPLE USING HEAVISIDE FUNCTION
    (Gökhan ÇUVALCIOGLU, 2023) Ceylan, Tahir
    In this paper we deal with the fuzzy eigenfunctions of the two point fuzzy boundary value problem (FBVP) with fuzzy coefficient of the boundary conditions. The fuzzy solution is obtained from the Zadeh's extension principle using the Heaviside function. The eigenvalues and the fuzzy eigenfunctions of the boundary value problem are found using the Wronskian functions. We present an example in order to compare the proposed solution.