In this paper, we study the properties of a special (α, β)-metric e^(k1β/α)+βe^(k2*β/α), the Randers change of the generalized exponential metric. We find the necessary and sufficient condition for this metric to be locally projectively flat and we also prove the conditions for this metric to be of the Berwald and Douglas type.Keywords: Berwald space; Douglas space; Finsler space...
The rainbow connection number of a graph G denoted by rc(G) is the minimum number of colors used to color the edges in G, such that every pair of vertices is connected by a path with all different colors. In 2008, Chartrand et al. first introduced the concept of rainbow connection numbers. They introduced it as an edge coloring on a graph that refers to the path of each pair of...
A totally irregular total k-labeling λ: V U E → {1, 2, ⋯ , k} of a graph G is a labeling where the weights of all distinct vertices and edges are unique. The weight w(x) of a vertex x is defined as the sum of its label and the labels of all edges incident to it, while the weight w(e) of an edge e is the sum of its label and the labels of its two endpoints. The minimum k for which...
This study aims to explore research on problem-solving in various countries using complete and systematic bibliometrics, mainly Publish or Perish (PoP) and Vos viewer, to analyze data systematically. This analysis reveals the development of research related to problem-solving to provide new ideas and raise research gaps related to this topic. The data used in 2016-2022 is 2959...
Gold is considered a low-risk investment, serving as a hedge asset and haven against inflation and economic shocks. While gold prices exhibit an increasing trend in the long term, they are subject to short-term fluctuations. Accurate gold price prediction is crucial for investors to maximize returns. This research aims to identify the most suitable method for forecasting gold...
In this paper, we proposed the performance measures of a Markovian queue with non-preemptive priority under transient conditions in a fuzzy environment. We study the transient performance measures of an FM/FM/1 queue with absolute priority. We analyze the characteristics of this model in a fuzzy environment by the L-R method of a fuzzy number A~=<m, a, b>_{LR}, where m, a, b are...
Since a reliable internet signal has become an essential and significant need nowadays, the existence of modems as transmitters of internet signals is also crucial; modems transmit the internet signal (without cable), which is then captured by devices. This research aims to construct a mathematical model to determine the minimum number of modems and their placement so that the...
Naive Bayes classification, grounded in Bayes' theorem, is a well-established probabilistic and statistical method. However, it often faces challenges when dealing with datasets that have skewed class distributions. A common issue with unbalanced data is that the classifier tends to predict the majority class more accurately, leading to high accuracy for the majority class but...
This research investigates the application of optimal control in the Susceptible, Exposed, Addicted, Recovery, Quit (SEA_1 A_2 RQ) model to address social media addiction. The primary objective is to develop an effective control strategy to reduce the prevalence of social media addiction. The methodology employs Pontryagin's maximum principle to formulate the optimal control...
This paper examines actuarial strategies to maintain the solvency of automobile insurance portfolios in sub-Saharan Africa, where motor insurance is mandatory and a significant revenue source, representing approximately 60% of total premiums in the CIMA (the Inter-African Conference on Insurance Markets) region. Poorly managed auto insurance portfolios risk pushing insurers...
Small area estimation (SAE) is an important technique for estimating parameters in regions or sub-populations with limited sample sizes, particularly when direct estimators are inadequate in capturing area-specific information. The Empirical Best Linear Unbiased Prediction (EBLUP) method is one of the SAE parameter estimation approaches, aiming to minimize Mean Square Error (MSE...
The locating chromatic number of a graph is a combination of partition dimension and vertex coloring, where every two adjacent vertices are in different color classes, and all vertices have a unique color code. The amalgamation of a ≥ 2 complete graphs (K_n, n≥ 3) denoted by aK_n is obtained by identifying one vertex from each complete graph. In this paper, we present a novel...
Robust functional continuum regression (RFCR) is an innovation as a development of functional continuum regression that can be applied to functional data and is resistant to outliers. The resistance of RFCR depends on the applied weighting function. This study aims to evaluate the RFCR performance to handle outliers. We propose the various weighting functions in this evaluation...
This study explores the joint distribution of bivariate financial returns on DJIA-S&P500 and SSE-SZSE, employing copulas and model selection criteria to identify the most suitable distribution. The aim is to estimate Conditional Tail Value at Risk (C-TVaR) at various confidence levels for portfolio risk management. Unlike previous studies, which typically focus on univariate...
Let G = (V, E) is a graph with order n, and f: V(G) → {1,2,...,n} is a bijection. For any vertex v ϵ V, the sum of f(u) is called the weight of vertex v, denoted by w(v), where N(v) is the set of neighbors of vertex v. If the labeling f satisfies that there exists a constant k such that w(v)=k, for every vertex v in the graph G, then f is called a distance magic labeling for the...
AbstractAutomobile insurance is required in most African nations, and it is the most significant branch in the Democratic Republic of the Congo (DRC); if the automobile branches are poorly managed, this could even result in the insurance company's insolvency. A priori pricing does not improve the danger parameter (the variance), which measures the difference between the estimated...
Multilevel Structural Equation Modeling (MSEM) is claimed to address hierarchical data structures and latent response variables, but it becomes unstable with an increasing number of levels. N-Level SEM (nSEM) is an SEM framework designed to handle a growing number of levels in the model. The nSEM framework uses the Maximum Likelihood Estimation (MLE) method for parameter...
AbstractOver the past few years, there has been a significant increase in air temperatures in regions such as South Sumatera, Riau, and Jambi, posing threats of drought, water resource crises, and erratic weather patterns. In response, developing air temperature forecasting techniques becomes imperative for effective climate change management. This study proposes implementing the...
AbstractNowadays, a trademark is starting to be built through content on social media by involving influencers whose roles are increasingly needed in digital marketing. Hence, finding them on social media networks is an important thing. In brand recognition, BTS has a great influence where a brand they collaborate with gets an enthusiastic response from fans who participate in...
AbstractIn this research, we delve into the realm of pension plan programs, essential for securing a robust livelihood post-retirement through the provision of pension benefits to retired employees. Addressing the intricate balance between financial sustainability and risk mitigation, companies are mandated to allocate funds for pension benefits. The hybrid pension plan, a novel...
AbstractFor any finite group, the non-coprime graph of the group is a graph with vertices consisting of all non-identity elements of the group. Two different vertices are considered adjacent if their orders are not coprime, meaning their greatest common divisor (gcd) is not equal to one. Misuki provides the structure of the non-coprime graph for the dihedral group when the order...
AbstractAlgebraic cryptanalysis is a cryptanalysis method that aims to exploit the algebraic structure of an encryption algorithm to obtain the secret key. Algebraic cryptanalysis becomes interesting because it uses a small amount of known plaintext, which in real life very few known plaintexts are available. Algebraic cryptanalysis has previously been performed on several block...
AbstractDengue fever is one of the most infectious diseases in the world, according to data issued by the World Health Organization in 2014. It is responsible for a huge number of deaths each year around the world, particularly in tropical nations. The dengue virus (DENV) causes dengue fever, which is spread by the female Aedes aegypti mosquito. We provide a mathematical model of...
AbstractThis study discusses the behavioral analysis model of the Susceptible-Infected-Recovered (SIR) epidemic of the spread of measles based on age structure. The total population of measles is grouped into four age groups, namely the first age group (0-4 years), the second age group (5-9 years), the third age group (10-14 years) and the fourth age group (> 15 years). The steps...
AbstractThe concept of a strong k-rainbow index is a generalization of a strong rainbow connection number, which has an interesting application in security systems in a communication network. Let G be an edge-colored connected graph of order n, where adjacent edges may be colored the same. A rainbow tree in G is a tree whose edges have distinct colors. For an integer k with 2≤k≤n...