Yazar "RTEÜ, Fen - Edebiyat Fakültesi, Matematik Bölümü" için listeleme
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Connectedness of a suborbital graph for congruence subgroups
Kesicioğlu, Yavuz; Akbaş, Mehmet; Besenk, Murat (Springer International Publishing Ag, 2013)In this paper, we give necessary and sufficient conditions for the graph to be connected and a forest. MSC: 20H10, 20H05, 05C05, 05C20. -
A construction method for t-norms on bounded lattices
Karacal, Funda; Ertuğrul, Ümit; Kesicioğlu, Mücahide Nesibe (Springer International Publishing Ag, 2019)In this paper, a construction method on a bounded lattice from a given t-norm on a subinterval of the bounded lattice is presented. the supremum distributivity of the constructed t-norm by the mentioned method has been ... -
Construction methods for implications on bounded lattices
Kesicioğlu, Mücahide Nesibe (Kybernetika, 2019)In this paper, the ordinal sum construction methods of implications on bounded lattices are studied. Necessary and sufficient conditions of an ordinal sum for obtaining an implication are presented. New ordinal sum ... -
Construction methods for uni-nullnorms and null-uninorms on bounded lattice
Ertuğrul, Ümit; Kesicioğlu, Mücahide Nesibe; Karacal, Funda (Kybernetika, 2019)In this paper, two construction methods have been proposed for uni-nullnorms on any bounded lattices. the difference between these two construction methods and the difference from the existing construction methods have ... -
The continuity in q of the Lupaş q-analogues of the Bernstein operators
Yılmaz, Övgü Gürel; Ostrovska, Sofiya; Turan, Mehmet (Elsevier, 2024)The Lupas q-analogue Rn,q of the Bernstein operator is the first known q-version of the Bernstein polynomials. It had been proposed by A. Lupas in 1987, but gained the popularity only 20 years later, when q-analogues of ... -
Correlation coefficients of simplified neutrosophic multiplicative sets and their applications in clustering analysis
Köseoğlu, Ali; Şahin, Rıdvan (Springer, 2021)The use of fuzzy sets, intuitionistic fuzzy sets and neutrosophic sets can often handle with real-life problems that contain incomplete and uncertain information. The 0-1 scale is used to deal with such information which ... -
Crossed semimodules and cat(1)-monoids
Temel, Sedat (Kangwon-Kyungki Mathematical Soc, 2019)The main idea of this paper is to introduce the notion of cat(1)-monoids and to prove that the category of crossed semimodules C = (A, B, partial derivative) where A is a group is equivalent to the category of cat(1)-monoids. ... -
Crossed semimodules of categories and schreier 2-categories
Temel, Sedat (Tbilisi Centre Math Sci, 2018)The main idea of this paper is to introduce the notion of a Schreier 2-category and of a crossed semimodule over categories and to prove the categorical equivalence between their categories. -
Determination of the smallest-greatest uni-nullnorms and null-uninorms on an arbitrary bounded lattice L
İnce, Mehmet Akif; Karaçal, Funda (World Stientific Publishing, 2023)In this paper, we study uni-nullnorms and null-uninorms on bounded lattices, which are generalizations of uninorms, nullnorms, t-norms and t-conorms. We construct two uni-nullnorms and two null-uninorms on a bounded lattice ... -
Deterministic stability and random behavior of a Hepatitis C model
Merdan, Mehmet; Bekiryazıcı, Zafer; Kesemen, Tülay; Khanlyev, Tahir (Public Library Science, 2017)The deterministic stability of a model of Hepatitis C which includes a term defining the effect of immune system is studied on both local and global scales. Random effect is added to the model to investigate the random ... -
Differential transform solution of some linear wave equations with mixed nonlinear boundary conditions and its blow up
Cansu, Ümmügülsüm; Özkan, Ozan (2010)Using Differential Transform to solve blow up solutions of some linear wave equation with mixed non-linear boundary conditions is proposed in this study.Non-linear boundary conditions cause the finite time blow up in ... -
Disconnectedness of the subgraph F-3 for the group Gamma(3)
Akbaş, Mehmet; Kor, Tuncay; Kesicioğlu, Yavuz (Springeropen, 2013)In this paper we show that the subgraph F-3 is disconnected and that for all integers m, we find all integers a and b such that (9m(2) - 4)a(2) + 4 and 5b(2) +/- 4 are square. It turns out that the set of numbers b comprises ... -
Dual octonions and rigid body kinematics
Çakır, Hasan; Bektaş, Özcan; Yılmaz, Ruşen (Wiley, 2024)In this paper, we first give the basic information about octonions and present the Euclidean rotation matrix formed by an octonion in seven-dimensional Euclidean space. Next, we define and introduce the -module and dual ... -
Dynamics of a plant-herbivore model subject to allee effects with logistic growth of plant biomass
Beso, Emin; Kalabusic, Senada; Pilav, Esmir; Bilgin, Arzu (World Stientific Publishing, 2023)This paper examines the relationship between herbivores and plants with a strong Allee effect. When the plant reaches a particular size, the herbivore attacks it. We use the logistic equation to model plant growth and ... -
Eigenvalues and eigenfunctions of discontinuous two-point boundary value problems with an eigenparameter in the boundary condition
Çalışkan, Seda Kızılbudak; Bayramov, Azad; Oer, Zerrin; Uslu, Serpil Öztürk (Rocky Mt Math Consortium, 2013)In this paper we get asymptotic formulas for eigenvalues and eigenfunctions of discontinuous two-point boundary value problems with the eigenparameter in the boundary conditions with transmission conditions at the two ... -
Elliptic elements and circuits in suborbital graphs
Güler, B.Ö.; Beşenk, Mert; Değer, A.H.; Kader, S. (Hacettepe University, 2011)We consider the action of a permutation group on a set in the spirit of the theory of permutation groups, and graph arising from this action in hyperbolic geometric terms. In this paper, we examine some relations between ... -
An equivalence relation based on the U-partial order
Kesicioğlu, Mücahide Nesibe; Ertuğrul, Ümit; Karacal, Funda (Elsevier Science Inc, 2017)In this paper, an equivalence relation on the class of uninorms induced by the U-partial order is discussed. Defining the set of all incomparable elements w.r.t. the U-partial order, this set is deeply investigated and ... -
Evaluation of the convolution sum sigma(al+bm=n) sigma(l)sigma(m) for (a, b) = (1, 48), (3, 16), (1, 54), (2, 27)
Alaca, Şaban; Kesicioğlu, Yavuz (Wydawnictwo Naukowe Uam, 2019)We determine the convolution sum Sigma(al+bm=n) sigma(l)sigma(m) for (a, b) = (1, 48), (3, 16), (1, 54), (2, 27) for all positive integers n. We then use these evaluations together with known evaluations of other convolution ... -
Evaluation of the convolution sum ∑al+bm=nσ(l)σ3(m) for (a,b)=(1,7),(7,1),(1,8),(8,1),(1,9),(9,1) and representations by certain quadratic forms in twelve variables
Alaca, Şaban; Kesicioğlu, Yavuz (Springer, 2023)For a positive integer n we evaluate the convolution sum Sigma(al+ bm=n) sigma(l) sigma(3)(m) for (a, b) = (1, 7), (7, 1), (1, 8), (8, 1), (1, 9), (9, 1) . We then use these evaluations together with knownevaluations of ... -
Evaluation of the convolution sums Sigma(l+27m=n) sigma(l)sigma(m) and Sigma(l+32m=n) sigma(l)sigma(m)
Alaca, Şaban; Kesicioğlu, Yavuz (World Scientific Publ Co Pte Ltd, 2016)We determine the convolution sums Sigma(l+27m= n) sigma(l)sigma(m) and Sigma(l+32m= n) sigma(l)sigma(m) for all positive integers n. We then use these evaluations together with known evaluations of other convolution sums ...