New Mathematics and Natural Computation

The fundamental economic production lot size model assumes that every product is of perfect quality. However, the reality is that no manufacturing method can successfully create every item of perfect quality. The majority of the production system produces both perfect and imperfect quality things. The manufacturer may reject these non-conforming products, have them repaired, sell them at a discou…

This study presents a mathematical model of a non-steady-state amperometric biosensor with combined enzyme kinetics and diffusion restrictions, under substrate and product inhibition. An enzymatic reaction with non-Michaelis-Menten dynamics is associated with nonlinear terms in the diffusion equations of the structure.We applied the Laplace Homotopy Perturbation Method (LHPM) to the proposed non-…

We compare a radial-basis-function support vector machine (SVM) with a Gaussian naive Bayes (NB) classifier on a reproducible synthetic binary task designed for controlled evaluation. The data matrix contains 1,000 samples and 20 features, of which 15 are informative and 5 are redundant linear combinations; class labels include a controlled flip rate of 0.1. Models were fitted in scikit-learn 1.3…

In this article, we explore the intricate concepts of [Formula: see text]-statistical convergence, which generalizes the notions of [Formula: see text] -statistical convergence and [Formula: see text]-summability, extending the classical framework of [Formula: see text]-summability. In Section 3, we introduce foundational definitions, including the notions of [Formula: see text]-statistical limit…

Fermatean fuzzy set, a significant extension of intuitionistic fuzzy set offer enhanced flexibility to address imprecise information than intuitionistic fuzzy set. In this, study, the parameters of the transportation problem are considered as Fermatean fuzzy numbers and aim to develop a solution framework based on this advanced fuzzy set theory. In order to do this, firstly a ranking function for…

We introduce the notion of semi-ideals for ordered groupoids (magmas equipped with a partial order). The definition is based on the derived set [Formula: see text], which captures all products where the first argument is order-dominated by the second. Our main result shows that right compatibility of the operation with the order implies that [Formula: see text] is a right semi-ideal; we also disc…

In computer vision (CV), object detection is a basic visual recognition issue that has been extensively researched in recent decades, especially in security surveillance. In recent years, there have been several studies on DL-based object recognition algorithms due to their enormous success in image classification. Accordingly, a new WMDSCBN-MLNet model is proposed in this work for object detecti…

We investigate the convergence behavior of lower and upper approximation spaces and boundary regions in dynamic rough set theory under two frameworks. The first is a set-theoretic framework, where convergence is defined through the eventual stability of sets. In this setting, we show that the convergence of the lower and upper approximations always leads to the convergence of the boundary regions…

In this work, the Boubaker wavelet collocation method is used to numerically investigate a fractional-order fowlpox disease model. The intricate dynamics of transmission between birds and mosquitoes are captured by the analysis of the fowlpox model, which was developed using fractional-order derivatives. The model's solutions are approximated using the Boubaker wavelet technique, which is well-kn…

In this study, a mathematical model is proposed which analyze the dynamics of co-abuse of cigarette smoking and drugs. Cigarette smoking and illicit drugs use, aggregates the massive public health concern particularly when both substances are abused simultaneously. Numerous studies are present where single-substance dynamics are studied but mathematical investigation to co-abuse is limited. The m…

In this study, the effect of an adaptive event-triggered control of a permanent magnet synchronous generator (PMSG) based wind energy system is investigated. Firstly, the mathematical model of a fractional-order PMSG (FOPMSG) in the n-m reference frame is transformed to a dimensionless system through affine transformation and time scalings. Consequently after designing the controller using lyapun…

This paper presents an analytical approach for solving the fuzzy Riccati differential equation using the fuzzy differential transformation method (FDTM) within the framework of generalised Hukuhara differentiability. By employing an extended definition of the fuzzy derivative, the method accommodates a wider class of differentiable fuzzy functions and facilitates the formulation of fuzzy initial …

In this study, the three-dimensional flow and heat transfer characteristics of a nanofluid are investigated by considering both platelet- and blade-shaped molybdenum disulfide (MoS 2 ) nanoparticles dispersed in water, along with variable viscosity effects, over a stretching surface embedded in a Darcy porous medium. The influence of partial slip at the boundary on the flow behavior is also exami…

In this paper, given an endomorphism α and a ∨-closed subset S of a BL-algebra, we introduce the concepts of α-prime filters and S-prime filters in BL-algebras, two notions that generalize the prime filters of BL-algebras. We give some examples and examine their first properties and characterizations. Furthermore, we define the notions of α-maximal filters and S-maximal filters of BL-algebras and…

Atomic system in fuzzy Hilbert space is introduced and the existence of the fuzzy atomic systems for a strongly fuzzy bounded linear operator is studied. The notion of a K-frame in fuzzy Hilbert space is presented and some of their characterizations are given.We establish a relationship between fuzzy frame and fuzzy K-frame in fuzzy Hilbert space. Further, it is seen that scalar combinations and …

This paper proposes a novel framework for bounded intuitionistic fuzzy sets based on the use of lower and upper threshold parameters. Unlike classical cut-set approaches, which produce crisp subsets and lead to loss of information, the proposed method preserves the original membership and nonmembership degrees while restricting the universe to elements satisfying given threshold conditions. The m…

In this paper, we introduce a novel type of soft intersection (S-int) ideal form called “soft intersection (S-int) tri-ideal” and obtain the relations between S-int tri-ideals and other certain types of S-int ideals of a semigroup. Our results show that the concept of S-int tri-ideal is a generalization of S-int ideal, interior ideal, bi-ideal, quasi-ideal, weak-interior ideal, bi-interior ideal,…

Flight trajectories are typically analysed using a single reference path, although aircraft rarely follow the same route across different days or seasons due to meteorological and operational factors. This limits the ability of conventional methods to capture systematic and season-dependent variations in flight behaviour. To address this limitation, this study applies Topological Data Analysis (T…

This study numerically investigates the magnetohydrodynamic flow and heat–mass transfer characteristics of an Ellis hybrid nanofluid (Cu–Fe 3 O 4 /blood) through a shrinking stenotic artery under the influence of nonlinear thermal radiation, viscous dissipation, and a binary chemical reaction with activation energy. Convective slip boundary conditions are imposed at the arterial wall for velocity…

Kernel density estimation is a popular non-parametric method for estimating the probability density function of a random variable. However, classical kernel density estimation assumes all observations are exact, limiting its applicability in scenarios involving uncertainty or indeterminacy. To overcome this limitation, we introduce a generalized interval-valued method based kernel density estimat…