The paper addresses the group decision‐making (GDM) problem involving hesitant‐intuitionistic fuzzy preference relations (HIFPRs), focusing on additive consistency and group consensus analysis. Firstly, to preserve the original decision information effectively, the consistency improvement algorithm is designed to identify decision information requiring modification and subsequently execute a localized adjustment process. Secondly, an algorithm is developed to derive HIFPRs that satisfy both acceptable consistency and group consensus simultaneously. Additionally, an approach for calculating decision‐maker weights is proposed. Finally, to address GDM challenges within hesitant‐intuitionistic fuzzy scenarios, a novel decision method is presented. The validity of the proposed GDM approach is demonstrated through a case study involving the selection of outstanding students for exchange learning. Comparative analysis illustrates the method’s rationale and advantages.

Decomposition ensemble forecasting of air passenger demand is of continuing interest to researchers. The most common method employed to produce ensemble forecasts for demand forecasting is a linear combination of individual single‐component forecasts. Nevertheless, it remains unclear how linear combinations with different weight assessments affect the accuracy of decomposition ensemble forecasting. Besides, to strengthen the overall accuracy of decomposition ensemble forecasting, it is intriguing to investigate whether significant synergy can be created by combining forecasts yielded by individual decomposition ensemble models using different weight schemes. This paper proposed a hybrid approach using several well‐known weighting schemes to measure the weights of individual single‐mode forecasts. The optimal combination selection from individual decomposition ensemble models was then used to construct combined models to strengthen the accuracy of decomposition ensemble forecasting. The empirical results indicated that linear combinations with optimal weights significantly outperformed those with other considered weighting schemes. Interestingly, the combined forecasts generated by the optimal combination selection from individual decomposition ensemble models significantly outperformed the best individual ensemble forecasts. It has been found that the accuracy obtained by decomposition ensemble forecasting with equal weights was only average, and the optimal combination subsets included few such models. The proposed hybrid approach can help industry practitioners make operational plans.

In this research, we introduce the regular Copper Lucas matrix operator, which is based on the Copper Lucas sequence. We investigate the sequence spaces c 0 (Γ) and c (Γ), as well as for 1 ≤ p ≤ ∞ , all of which are linked to the newly defined regular Copper Lucas matrix Γ. Our study explores various properties and inclusion relationships among these spaces, establishes a Schauder basis, and α ‐, β ‐, and γ ‐ duals. In addition, we characterize the connections between the newly defined matrix classes and classical sequence spaces. We also examine the compactness of matrix operators within these associated sequence spaces and provide results related to specific operator ideals. Finally, we investigate the geometric properties of the associated sequence spaces.

Let be the Kac–Paljutkin–type Hopf algebra of dimension 2 n 2 , A its graded Koszul Artin–Schelter regular ‐module algebra of Dimension 2, A ! the Koszul dual of A , and the braided‐opposite algebra of A . This paper describes (0, 1)‐degree PBW deformations of the smash product and those of under the condition that the Koszul dual A ! of A is also an ‐module algebra. Also, 0‐degree PBW deformations of are explored, where is the associated braided tensor product algebra.

This paper investigates the fixed‐circle problem in metric spaces within the framework of multivalued mappings. We introduce three novel classes of bilateral contractions, namely, the Jaggi‐type bilateral, Dass‐Gupta type I bilateral, and Dass‐Gupta type II bilateral multivalued contractions, each specifically formulated to extend the fixed‐circle theory to the setting of multivalued mappings. By employing these generalized contractive conditions, we establish several fixed‐circle and fixed‐disc theorems and further extend our results to encompass integral‐type contractions. The theoretical findings are supported by illustrative examples that confirm the applicability and robustness of the proposed approach.

The vibration behavior of amalgamated plates of constant thickness under thermomechanical effects is investigated based on the first‐order shear deformation theory (FSDT). The analysis considers the combined influences of mechanical loading and temperature variations on the plate’s dynamic response. Each layer of amalgamated plate is assumed to be of different material, and the model incorporates both perpendicular shear deformations and rotary inertia effects. The thermal influences are modeled using a temperature‐dependent material property approach, which affects the elastic constants and mass density. Cubic spline approximation is employed to approximate the supplanting and rotational functions. Numerical simulations are carried out to study the intrinsic frequencies and mode shapes of the amalgamated plate for various boundary conditions and thermal environments. The results indicate significant changes in the vibration characteristics of the amalgamated plate due to temperature variations, demonstrating the importance of considering thermal effects in the dynamic analysis of such structures. This study provides valuable insights into the design and analysis of amalgamated plate structures subjected to combined mechanical and thermal loading.

In this paper, by using Poisson distribution probability, some characteristics of analytic multivalent q-symmetric starlike and q-symmetric convex functions of order η are examined. Then, by utilizing the Poisson distribution and the concept of the q-analogue Salagean integral operator, the p-valent convergence polynomial was introduced. Furthermore, a number of subclasses of analytic symmetric p-valent functions linked to novel polynomials are also deduced. After that, specific coefficient constraints are determined and symmetric δ,q-neighborhoods for p-valent functions are defined. In relation to symmetric δ,q-neighborhoods of q-symmetric p-valent functions formed by Poisson distributions, this paper presents new inclusion results. In addition, a detailed discussion of certain q-symmetric inequalities of analytic functions with negative coefficients is also provided.

Let G=V,E be a simple graph. A subset D⊆V is a dominating set if every vertex not in D is adjacent to a vertex in D. The domination number of G, denoted by γG, is the smallest cardinality of a dominating set of G. The domination subdivision number sdγG of G is the minimum number of edges that must be subdivided (each edge can be subdivided at most once) in order to increase the domination number. In 2000, Haynes et al. showed that sdγG≤dGv+dGv−1 for any edge uv∈EG with dGu≥2 and dGv≥2 where G is a connected graph with order no less than 3. In this paper, we improve the above bound to sdγG≤dGu+dGv−NGu∩NGv−1, and furthermore, we show the decision problem for determining whether sdγG=1 is NP-hard. Moreover, we show some bounds or exact values for domination subdivision numbers of some graphs.

Let n and m be fixed positive integers. In this paper, we establish some structural properties of prime rings equipped with higher derivations. Motivated by the works of Herstein and Bell-Daif, we characterize rings with higher derivations D=dii∈N satisfying (i) dnx,dmy∈ZR for all x,y∈R and (ii) dnx,y∈ZR for all x,y∈R.