rss_2.0Journal of Applied Mathematics, Statistics and Informatics FeedSciendo RSS Feed for Journal of Applied Mathematics, Statistics and Informatics of Applied Mathematics, Statistics and Informatics Feed new two-parametric weighted generalized inaccuracy measure<abstract> <title style='display:none'>Abstract</title> <p>In this article, we present a novel approach to measuring inaccuracy, introducing a two-parametric weighted generalized inaccuracy measure of order <italic>α</italic> and type <italic>β</italic>, along with its residual version. Our proposed measure depends on the proportional hazard rate model (PHRM) to uniquely determine the survival function, and we have derived a characterization result for this measure. Through our analysis under the PHRM framework, we have studied various properties of the proposed measure and their interrelationships.</p> </abstract>ARTICLEtrue study of the /(,)/1/ queuing system with types of breakdowns<abstract> <title style='display:none'>Abstract</title> <p>This paper analyses the <italic>M</italic>/<italic>M</italic>(<italic>a</italic>,<italic>b</italic>)/1/<italic>MWV</italic> queuing model with various types of breakdowns. During peak times, the system has breakdown due to server unavailability. The model considers system with two types of breakdowns. The system may breakdown in two different ways during busy and working vacation stages. Customer arrives to the system with parameter <italic>λ<sub>v </sub></italic>which follows Poisson distribution and server provides service in regular busy period with parameter <italic>µ<sub>rb </sub></italic>and under the multiple working vacations it provides service with parameter <italic>µ<sub>wv </sub></italic>with exponential distribution. In this model batches of customers are served under General Bulk Service Rule. The system may breakdown at any time. The breakdown that occurs during working vacation is denoted as <italic>β<sub>v</sub></italic><sub>1</sub> and the breakdown during busy state is denoted as <italic>β<sub>v</sub></italic><sub>2</sub>. The steady-state equation, the performance of measures for the system and particular cases of described model are derived. Finally, a real life example demonstrated the validity of the model in a proper way.</p> </abstract>ARTICLEtrue new fixed point results in Intuitionistic fuzzy cone-b metric spaces<abstract> <title style='display:none'>Abstract</title> <p>The foremost target of the proposed work focuses on establishing fixed point theorems for the new concept named Intuitionistic fuzzy cone-b metric space (in short IFCbMS). Various definitions like compatible mappings, weakly-compatible maps (WC maps) and E.A. property are also used to prove new results for IFCbMS. The proofs of fixed points for FMS, IFMS, NFMS in the setting of E.A. property are taken as base for this research. Examples mentioned in the paper are increasing the importance of the research done. An application is also given to show the importance of the result proved. The application of this paper leads to the solution of an integral equation in context of implicit functions.</p> </abstract>ARTICLEtrue in Plithogenic product fuzzy graphs<abstract> <title style='display:none'>Abstract</title> <p>The notion of Plithogenic vertex domination and Plithogenic edge domination in Plithogenic product fuzzy graphs (PPFGs) has been newly introduced and discussed based on P-weights of P-vertices and P-edges respectively with properties, results and examples. Plithogenic vertex domination number and Plithogenic edge domination number for a Plithogenic product fuzzy graph (PPFG), and the bounds and algorithms for and the maximum and minimum values and algorithms for the same are also investigatedthe same are also investigated. Perfect Plithogenic vertex domination and perfect Plithogenic edge domination are presented as special cases of Plithogenic vertex domination and Plithogenic edge domination respectively. It is observed that the P-vertex (P-edge) with the maximum P-weight exists in every Plithogenic vertex (edge) dominating set of a Plithogenic product fuzzy graph. The novelty in these ideas of domination is that a better perception of reality can be obtained through the analysis of both, Plithogenic vertex domination and Plithogenic edge domination, in any Plithogenic product fuzzy graphical structure.</p> </abstract>ARTICLEtrue of the general form of the two-point quadrature formulas via convexity<abstract> <title style='display:none'>Abstract</title> <p>In this paper, we look at the general form of the two-point quadrature formulas, which doesn’t have to be symmetric. Under the convexity constraint of the first derivative, we propose a new scheme that gives the best approximation of the two-point quadrature rules.</p> </abstract>ARTICLEtrue Simpson-like inequalities for differentiable Bounded and Lipschitzian functions with application example from management science<abstract> <title style='display:none'>Abstract</title> <p>In this paper, based on a given parameterized identity that generates a quadrature rule family similar to Simpson’s second formula, we establish some new Simpson-like type inequalities for functions with bounded as well as Lipchitzian derivatives from which we can deduce the famous 3<italic>/</italic>8-Simpson’s inequality. The study concludes with an application example from management science.</p> </abstract>ARTICLEtrue analysis of cancer patients using a new Lomax Rayleigh distribution<abstract> <title style='display:none'>Abstract</title> <p>A new Lomax Rayleigh distribution (NLRD) is proposed and generated using Transformed Transformer (T-X) family generator. Various structural properties like generating functions, moments, limiting form, quantile function median and mode of NLRD are studied. Maximum likelihood estimators (MLEs) of the parameters are obtained and the model fitting is tested with simulated data. Model adequacy with live data is explained with two real-time cancer data sets. The NLRD shows a better fit in the estimation of survival in bile duct cancer and head and neck cancer data than other existing distributions.</p> </abstract>ARTICLEtrue risk analysis using boosting methods<abstract> <title style='display:none'>Abstract</title> <p>The use of credit for various occasions has become a routine in our lives. In return, banking and financial institutions require to determine whether the loan demands from them contain any risk. Accordingly, these institutions have been increased their activities in determining whether credit rating models from past credit records of the person applying for the loan works properly. Machine learning-based technologies have opened a new era in this field. AI and machine learning based methods for credit scoring are currently implemented by banking or non-banking financial institutions. Employed models are to extract meaningful features from the required data in which wide variety of information available. In this study, credit risk assessment is conducted using boosting methods such as CatBoost, XGBoost and Light GBM. To this aim, Kaggle Home Credit Default Risk dataset is used and the effect of crediting tendency on the results is also considered. The results have shown that gradient boosting methods provide results that are close to each other, and crediting tendency produces better AUC score in CatBoost while it causes a small decrement in AUC score of XGBoost and LightGBM.</p> </abstract>ARTICLEtrue measure between intuitionistic Fuzzy sets and its applications in pattern recognition and clustering analysis<abstract> <title style='display:none'>Abstract</title> <p>In this study, in order to prevent information loss, we propose two dissimilarity measures between intuitionistic fuzzy sets (<italic>IFSs</italic>), which consider membership and non-membership degree and <italic>IFSs</italic> is farther extension of Fuzzy sets (<italic>FSs</italic>). Additionally, we have examined the characteristics of the proposed metrics to confirm their validity. We then conducted a series of experiments, including numerical experimentation, pattern recognition, and clustering analysis, to evaluate the efficacy of these metrics. The comparative outcomes illustrate that our dissimilarity metrics are more straightforward, easy to understand, and superior to the majority of the existing methods.</p> </abstract>ARTICLEtrue image processing of reentry event<abstract> <title style='display:none'>Abstract</title> <p>The space debris population is constantly increasing, including large spare upper stages and spacecraft. Atmospheric re-entry events caused by these artificial objects pose a threat to the ground-based population and their understanding and accurate modelling are required. On the 24th of October 2020, two cameras of the AMOS system in the Hawaiian Islands recorded the re-entry event of spare rocket’s upper stage. In the presented work, we aim to improve and automate the process of fragment identification between simultaneously acquired video recordings of this event. We are presenting the whole processing pipeline. First segmentation is performed to identify the cluster of interest and flying fragments within that cluster in all frames. The acquired information is used to create tracks of individual flying fragments – frame objects to be further associated between recordings.</p> </abstract>ARTICLEtrue multiple interacting miscible and immiscible fluids based on particle simulation<abstract><title style='display:none'>Abstract</title><p> We present a particle-based approach for animating multiple interacting liquids that can handle number of immiscible fluids as well as number of miscible fluids in our simulation framework. We solve the usual problem of robust interface tracking, between immiscible fluids, by reconstructing the zero level set of our novel composite implicit function, see Fig. 1 left and center. It’s recurrent formulation handles directly interfaces between any number of liquids including the free surfaces. We model the miscible fluids by tracking concentrations of dissolved materials in the vicinity of each particle. Flick’s law is applied for the Laplacian-based diffusion of concentrations, see Fig. 1 right. Particle sedimentation is achieved by directional advection along the settling velocity. The diffusion-advection equation is discretized by particles using the Lagrangian formulation. The proposed improvements can be easily implemented into the common Smoothed Particle Hydrodynamics (SPH) simulations framework</p></abstract>ARTICLEtrue paint appearance measurement and rendering<abstract><title style='display:none'>Abstract</title><p> Humans recognize objects visually on the basis of material composition as well as shape. To acquire a certain level of photorealism, it is necessary to analyze, how the materials scatter the incident light. The key quantity for expressing the directional optical effect of materials on the incident radiance is the bidirectional reflectance distribution function (BRDF). Our work is devoted to the BRDF measurements, in order to render the synthetic images, mostly of the metallic paints. We measured the spectral reflectance off multiple paint samples then used the measured data to fit the analytical BRDF model, in order to acquire its parameters. In this paper we describe the methodology of the image synthesis from measured data. Materials such as the metallic paints exhibit a sparkling effect caused by the metallic particles scattered within the paint volume. Our analysis of sparkling effect is based on the processing of the multiple photographs. Results of analysis and the measurements were incorporated into the rendering process of car paint</p></abstract>ARTICLEtrue ratios orders based on laplace transforms<abstract><title style='display:none'>Abstract</title><p> The purpose of this paper is to generalize some stochastic orders based on the Laplace transform to proportional state and obtain some of their properties. Also, we discuss these generalized orders version in view of the weighted distributions</p></abstract>ARTICLEtrue of performance bottleneck of P2P grid applications<abstract><title style='display:none'>Abstract</title><p> The OurGrid distributed environment is an open source grid middleware that enables the creation of P2P computational grids to speed up the execution of bag-of-tasks applications. Bag-of-tasks is an application model composed of several independent tasks not communicating with each other during their execution, tolerating network delays and faults. The paper shows that the main advantage to avoid bottlenecks is if the data gets larger or computations become more complex and the conclusion is made based on the presented measurements. Understanding such patterns sheds an insightful light on performance bottlenecks and design tradeoffs for P2P Grid applications</p></abstract>ARTICLEtrue, distortion and growth inequalities for certain p-valent close-to-convex functions<abstract><title style='display:none'>Abstract</title><p> In the present paper, we introduce and investigate a new subclass χ<sup>t</sup><sub>p</sub>(γ) of analytic and p-valent close-to-convex functions in the open unit disk U. For functions belonging to the class χ<sup>t</sup><sub>p</sub>(γ), some interesting properties including the coefficient estimates, distortion theorems and subordination results are obtained</p></abstract>ARTICLEtrue rising Sun von mises and rising Sun wrapped cauchy circular models<abstract><title style='display:none'>Abstract</title><p> By applying wrapping (Dattatreya Rao et al (2007)), offsetting (Girija et al (2013 and Radhika et al (2013)) and stereographic projection (Phani et al (2012)) have constructed circular models. Further the circular models based on the Rising Sun function are motivated by purely mathematical considerations as a smoothing function and possible application. This work takes a further step in this direction using several mathematical tools such as Real Analysis along with MATLAB and are applied to enlarge the horizon of Mathematical Statistics. Here an attempt is made to construct new circular models using the Rising Sun function and also the circular rising sun lemma is proposed</p></abstract>ARTICLEtrue and uniqueness for three dimensional Mirzov’s systems<abstract><title style='display:none'>Abstract</title><p> We discuss continuation and uniqueness of solutions to the Cauchy problem for a three dimensional Mirzov’s system. Moreover, two specific cases are partially analyzed</p></abstract>ARTICLEtrue control strategy for a HIV infection model via fourier series<abstract><title style='display:none'>Abstract</title><p>This paper proposes an optimal control problem, with the final goal of implementing an optimal treatment protocol which could maximize the uninfected CD4+T cells and minimize the cost of drug, utilizing a system of ordinary differential equations which describes the interaction of the immune system with the human immunodeficiency virus(HIV). The optimal pair of control and trajectories of this nonlinear system with quadratic cost functional is obtained by Fourier series approximation. The method is based upon expanding time varying functions in the nonlinear system as their Fourier series, using the operational matrices for integration and product. The problem is reduced into a set of algebraic equations</p></abstract>ARTICLEtrue for (α, β, γ)-entropy of a generalized probability scheme<abstract><title style='display:none'>Abstract</title><p> In this communication, we characterize a measure of information of type (α, β, γ) by taking certain axioms parallel to those considered earlier by Harvda and Charvat along with the recursive relation (1.7). Some properties of this measure are also studied. This measure includes Shannon information measure as a special case</p></abstract>ARTICLEtrue Automated Framework with Application to Study Url Based Online Advertisements Detection<abstract><title style='display:none'>Abstract</title><p> A rapid growth of online advertisements results in unsolicited bulk of data being downloaded during web surfing. To tackle this problem a fast mechanism detecting adverts is required. In this paper we present the usefulness of URL based web-pages classification in the process of online advertisements detection. Our experiments are performed on seven popular classifiers using the real-life dataset obtained by human agents browsing the internet. We introduce a general and fully automated framework that allows us to do a comprehensive analysis by performing simultaneously hundreds of experiments. This study results in solution with 0.987 accuracy and 0.822 F-measure.</p></abstract>ARTICLEtrue