http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7047 JAEM 2025, Vol 15, No 10 koleksiyonunu içerir. 2026-04-09T00:01:06Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7058 Adaptive boosted estimation for single-index quantile regression Alshaybawee, Taha; Alhusseini, Fadel Hamid Hadi; Mzedawee, Asaad Naser Hussein We propose a novel boosted estimation method for single-index quantile regression (SIQR) that combines the robustness of quantile regression with the flexibility of gradient boosting. By modeling the conditional quantile through a single linear index and a nonlinear link function, our method achieves effective dimension reduction while capturing complex relationships in the data. The procedure iteratively updates the index direction and fits base learners such as splines or regression trees to the pseudoresiduals from the quantile loss. This approach avoids multivariate smoothing, handles non-Gaussian errors, and adapts well to nonlinear structures. We establish theoretical guarantees, including consistency and optimal convergence rates under standard conditions. Extensive simulation studies and a real-data application demonstrate that the proposed method outperforms existing SIQR approaches in terms of accuracy and robustness. 2025-10-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7057 Signed sum cordial labeling of graphs Daisy, K. Jeya; Paulson, P. Princy; Jeyanthi, Pon The notion of signed product cordial labeling was introduced in 2011 and further studied by several researchers. Inspired by this notion, we define a new concept namely signed sum cordial labeling as follows: A vertex labeling of a graph G, f :V (G) → {−1, +1} with induced edge labeling f* : E(G) → {−2, 0, +2} defined by f*(uv) = f(u) + f(v) is signed sum cordial labeling if |vf (−1) − vf (+1)| ≤ 1 and |ef* (i) − ef* (j)| ≤ 1 for i, j ∈ {−2, 0, +2}, where vf (−1) is the number of vertices labeled with -1, vf (+1) is the number of vertices labeled with +1, ef* (−2) is the number of edges labeled with -2, ef* (0) is the number of edges labeled with 0 and ef* (+2) is the number of edges labeled with +2. A graph G is signed sum cordial if it admits signed sum cordial labeling. In this paper, we investigate the signed sum cordial behaviour of some standard graphs. 2025-10-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7056 Normality and regularity of Pythagorean fuzzy cellular spaces Gnanachristy, N. B.; Revathi, Govindasamy Krishnamoorthy; Obeng-Denteh, William Normality and regularity are key separation axioms that helps to classify and understand the structure of topological spaces. This research article investigates the properties of normality and regularity within the context of Pythagorean fuzzy cellular spaces. Pythagorean fuzzy cellular space integrates Pythagorean fuzzy sets with cellular spaces, provide a robust framework for modeling and analyzing complex systems characterized by uncertainty and imprecision. In the the concepts of normality and regularity is defined formally in the context of Pythagorean fuzzy cellular space and explore their implications. This study establishes the theoretical foundations for analyzing normality and regularity in Pythagorean fuzzy cellular space, extending classical topological concepts to the fuzzy environment. In addition to it P Fcelq-normal, P Fcel ultra normal, P Fcel completely ultra normal, P Fcel quasi normal is defined in Pythagorean fuzzy cellular space and interrelations are explored. 2025-10-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7055 On the fundamental theorems of (α, β)-Pythagorean fuzzy ideals of rings Bhunia,Supriya; Ghorai, Ganesh An (α, β)-Pythagorean fuzzy set is a modern approach to handling ambiguity. This article represents the perception of an (α, β)-Pythagorean fuzzy coset of any (α, β)-Pythagorean fuzzy ideal of rings. We demonstrate several characteristics of (α, β)-Pythagorean fuzzy cosets. Moreover, we explain the (α, β)-Pythagorean fuzzy quotient ring of (α, β)-Pythagorean fuzzy ideals of any ring. Furthermore, we present the isomorphism theorems of (α, β)-Pythagorean fuzzy ideals. 2025-10-01T00:00:00Z