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Fractional Partial And Integral Differential Equations And Novel Conformable Double (Laplace -Sumudu) Transform, Ahmad Qazza, Shams A. Ahmed, Rania Saadeh, Tarig Elzaki
Fractional Partial And Integral Differential Equations And Novel Conformable Double (Laplace -Sumudu) Transform, Ahmad Qazza, Shams A. Ahmed, Rania Saadeh, Tarig Elzaki
Applied Mathematics & Information Sciences
This article presents a novel methodology for dealing with fractional partial differential equations and fractional integral equations, subject to particular constraints, by combining the Laplace transform with the Sumudu transform. The conformable double Laplace-Sumudu transform (CDLST) method handles integrals and derivatives of fractional orders by using conformable derivatives. In this paper, we present a thorough examination of the fundamental traits and revolutionary developments related to the proposed shift. It is feasible to convert fractional partial differential equations and integral equations into algebraic equations by using the CDLST and its inherent properties. This modification makes finding solutions simpler, enabling quicker and …
Strengthening The Security Of The Kuwait International Airport By Detecting Threats In X-Ray Images, Abdallah S. Mohamed, Adel A. Sewisy, Khaled F. Hussain, Ahmed I. Taloba
Strengthening The Security Of The Kuwait International Airport By Detecting Threats In X-Ray Images, Abdallah S. Mohamed, Adel A. Sewisy, Khaled F. Hussain, Ahmed I. Taloba
Applied Mathematics & Information Sciences
The substantial number of false positives in X-ray analysis of images is one of the current problems, which causes delays and adds to the responsibilities of security staff. Maintaining security measures to confront growing threats and new technology is a continuing concern. Using a Convolutional Neural Network-Gated Recurrent Unit (CNN-GRU) model, this research suggests a novel strategy for upgrading the safety precautions at Kuwait International Airport. This research tackles the requirement for more precise and efficient threat detection, which is crucial for airport security. Utilizing the advantages of CNNs and GRUs is the goal of the CNN-GRU approach. The GRU, …
Novel Fractional Inequalities Of Opial’S Type Via Conformable Calculus, M. R. Kenawy
Novel Fractional Inequalities Of Opial’S Type Via Conformable Calculus, M. R. Kenawy
Applied Mathematics & Information Sciences
In this study, we employ Ho ̈lder’s inequality and the chain rule formula to deduce some Opial fractional inequalities. As a result, for α = 1, we derive numerous classical Opial type inequalities.
Fibonacci Riccati Method For Kdv Models With Dependent Space Time Coefficient, Fadhel Almalki
Fibonacci Riccati Method For Kdv Models With Dependent Space Time Coefficient, Fadhel Almalki
Applied Mathematics & Information Sciences
In this paper a number of findings present various ways of new research with novel class of trigonometric functions which unifies the properties of the well-known standard functions. From our previous knowledge, the important and significant role which investigated by the trigonometric functions in simplifying results in astronomy, physics and engineering, therefore, we may naturally predict that these new studies of trigonometric functions can lead to interpretations and results that have not appeared before and are new in mathematics, physics, biology, engineering and other branches of science. By introducing the variable-coefficient Riccati Fibonacci procedure, we investigate explicit solutions for some …
Odd Generalized Nadarajah-Hagaigai Log-Logistic Model With Modeling, Manal H. Alabdulhadi
Odd Generalized Nadarajah-Hagaigai Log-Logistic Model With Modeling, Manal H. Alabdulhadi
Applied Mathematics & Information Sciences
In this article, we intend to introduce and study the odd generalized Nadarajah-Hagaigai log-logistic (OGNH-LL) model as a new extension of the log-logistic (LL) model. Some statistical features of the OGNH-LL model are computed. The four unknown parameters of the OGNH-LL model are estimated by employing the maximum likelihood (ML) technique. One real-world data set is utilized to highlight the importance and applicability of the OGNH-LL model.
Statistical Inference Of Weighted Exponential Distribution Under Partially Constant-Stress Accelerated Life Tests With Type-Ii Censoring Scheme, Fatimah E. Almuhayfith
Statistical Inference Of Weighted Exponential Distribution Under Partially Constant-Stress Accelerated Life Tests With Type-Ii Censoring Scheme, Fatimah E. Almuhayfith
Applied Mathematics & Information Sciences
This paper aims to adopt partially accelerated life tests model, under Type-II censoring scheme. The model parameters and the parameter of life are estimated by maximum likelihood, and Bayes methods. Approximate confidence interval under asymptotic distribution of maximum likelihood estimate, bootstrap confidence and Bayesian credible intervals are estimated. The developed model and its results are assessed and compared by Monte Carlo simulation study. Finally, a numerical discussion is considered in conclusion section.
Multiple Soliton Solutions Of The Korteweg-De Vries In The Frame Of The Time-Dependent Variable Coefficient, Fadhel Almalki
Multiple Soliton Solutions Of The Korteweg-De Vries In The Frame Of The Time-Dependent Variable Coefficient, Fadhel Almalki
Applied Mathematics & Information Sciences
This paper aims to investigate exact multiple soliton solutions for Korteweg-de Vries (KdV) with variable coefficients. Based on the similarity transformation and some hyperbolic function methods, multiple wave kink and wave bell shape solutions of the KdV with time dependent variable coefficient are analyzed. Results of this study show that the shapes of multiple kink-type and bell-type solitons can be effectively controlled by selecting some specific form of self-similar variables.
Some Recent Research Trends In Fixed Point Theory With Applications, Hasanen A. Hammad
Some Recent Research Trends In Fixed Point Theory With Applications, Hasanen A. Hammad
Applied Mathematics & Information Sciences
Inthisstudy,somefixed-point,coupled,tripled,andquadruplefixed-pointresultsforgeneralizedcontractivetypemappings under mild conditions in the setting of abstract spaces are obtained. Also, we established some solutions to integral equations, functional equations, functional Volterra-Fredholm integral equations, 2D Volterra integral equations, Riemann-Liouville integrals, Atangana- Baleanu integral operators, and the boundary value problem for singular coupled fractional differential equations are established. Moreover, a unique stationary distribution for the Markov process is discussed. Furthermore, a new faster iterative algorithm is created than the previous sober algorithms. The proposed algorithm is used to analyze convergence, stability, and data-dependence results. Finally, two numerical examples are also provided to highlight the behavior and effectiveness of our …
Numerical Treatment Of The Coupled Fractional Mkdv Equations Based On The Adomian Decomposition Technique, Jihan Alahmadi, Bashayer Aldossary, Emad A-B Abdel-Salam
Numerical Treatment Of The Coupled Fractional Mkdv Equations Based On The Adomian Decomposition Technique, Jihan Alahmadi, Bashayer Aldossary, Emad A-B Abdel-Salam
Applied Mathematics & Information Sciences
The present research implements the decomposition Adomian approach of the approximation solution for the nonlinear coupled modification Korteweg-De Vries (KdV) model in space time fractional order with appropriate initial values. This method yields a power series calculation for the solution. This process does not require linearization, the concept of weak nonlinear nature assumption, or perturbation theory. A mathematical software like Mathematica or Maple has been used to evaluate the Adomian formulas of the consequent series solution. This procedure might additionally be applied to resolve various types of fractional order nonlinear mathematical physics models. A graphic discussion is provided regarding the …
Influence Of Non-Homogeneity, Rotation, Magnetic Field, And Initial Stress On Radial Vibrations In Thermo-Viscoelastic Isotropic Media, Mohammed A. Balubaid
Influence Of Non-Homogeneity, Rotation, Magnetic Field, And Initial Stress On Radial Vibrations In Thermo-Viscoelastic Isotropic Media, Mohammed A. Balubaid
Applied Mathematics & Information Sciences
This paper presents an innovative analytical approach to investigate the effects of rotation and initial stress on a magneto- thermo-viscoelastic non-homogeneous medium with a spherical cavity under periodic loading. The study focuses on analyzing the distribution of displacements, temperature, and stresses within the non-homogeneous medium using the generalized thermoelasticity framework based on the GL theory. The derived analytical solutions are extensively discussed, and the results are visually presented to illustrate the influences of rotation, initial stress, relaxation times, magnetic field, viscoelasticity, and non-homogeneity. Furthermore, comprehensive comparisons with prior research are conducted, encompassing scenarios with and without rotation, magnetic field, and …
Mathematical Analysis Of Working Capital Management In Mena Smes: Panel Data Insights, Amer Morshed
Mathematical Analysis Of Working Capital Management In Mena Smes: Panel Data Insights, Amer Morshed
Applied Mathematics & Information Sciences
In this paper, we analyze working capital management strategies (aggressive vs. conservative) employed by 2901 MENA SMEs from 2007-2021, assessing their impact on long-term financial resilience. It offers crucial insights for MENA SMEs navigating their unique economic landscape and contributes to the discourse on developing economies. The findings, particularly relevant amid evolving financial technologies, empower MENA SMEs to refine their strategies and pave the way for further research in this dynamic field.
Comparative Analysis Of Time Series Prediction Models For Visceral Leishmaniasis:Based On Sarima And Lstm, Fathelrhman El Guma
Comparative Analysis Of Time Series Prediction Models For Visceral Leishmaniasis:Based On Sarima And Lstm, Fathelrhman El Guma
Applied Mathematics & Information Sciences
Visceral leishmaniasis, a severe health disorder, is attributed to the microscopic parasite Leishmania. The parasitic illness possesses the capacity to pose a significant risk to human life and exhibits a variable prevalence across people worldwide. Using time series prediction techniques for VL might offer valuable insights to aid public health professionals in strategizing and implementing effective measures for VL prevention. This study presents a comparative analysis of time series forecasting techniques, specifically focusing on two methods: SARIMA and LSTM recurrent neural networks. Forecast performance evaluation involves utilizing monthly VL data acquired from district health offices from January 2000 to December …
Optimizing Preference Satisfaction With Genetic Algorithm In Matching Students To Supervisors, Azamat Serek, Meirambek Zhaparov
Optimizing Preference Satisfaction With Genetic Algorithm In Matching Students To Supervisors, Azamat Serek, Meirambek Zhaparov
Applied Mathematics & Information Sciences
The allocation of students to supervisors is a crucial aspect of higher education, impacting the quality of guidance and support students receive for their academic projects. This paper explores the application of a genetic algorithm to optimize the matching process. The algorithm considers considers psychological compatibility between student and supervisor, and aims for maximization of preference satisfaction of students and supervisors regarding the match. Experimental results demonstrate high preference satisfaction (0.91), indicating effective alignment with students’ preferences. The algorithm’s time and space complexities show scalability, making it a promising solution for large-scale applications. Additionally, the workload distribution results highlight the …
Neutrosophic Fuzzy Logic-Based Hybrid Cnn- Lstm For Accurate Chest X-Ray Classification In Covid-19 Predictionneutrosophic Fuzzy Logic-Based Hybrid Cnn- Lstm For Accurate Chest X-Ray Classification In Covid-19 Prediction, Olfat M. Mirza, Ahmed H. Samak
Neutrosophic Fuzzy Logic-Based Hybrid Cnn- Lstm For Accurate Chest X-Ray Classification In Covid-19 Predictionneutrosophic Fuzzy Logic-Based Hybrid Cnn- Lstm For Accurate Chest X-Ray Classification In Covid-19 Prediction, Olfat M. Mirza, Ahmed H. Samak
Applied Mathematics & Information Sciences
The necessity for sophisticated and precise diagnostic instruments for the prompt recognition of COVID-19 patients has been highlighted by the continuing worldwide epidemic. In this regard, this study presents a unique method for accurately classifying X-ray images of chest in COVID-19 prediction by combining Neutrosophic Fuzzy Logic with a Hybrid CNN and LSTM architecture. Medical image analysis involves uncertainties and imprecise information, which is handled via Neutrosophic Fuzzy Logic. The suggested hybrid model offers a thorough comprehension of the spatial and temporal patterns in chest X-ray pictures by utilizing the advantages of CNN for feature extraction and LSTM for sequential …
Artificial Intelligence-Based Penetration Analysis Of Mental Health Education In Higher Vocational Culinary Chinese Education, Xu Zhang, Fuyuan Weng
Artificial Intelligence-Based Penetration Analysis Of Mental Health Education In Higher Vocational Culinary Chinese Education, Xu Zhang, Fuyuan Weng
Applied Mathematics & Information Sciences
In China, mental health education for students is currently a prominent focus of psychological research. On the other hand, recent studies use a questionnaire evaluation and analysis to examine students capacity to acclimate to the college experience. A thorough examination of psychological education had conflicting results. As a result, this research emphasizes how Chinese language instruction affects culinary vocational students views of mental health education. For this study, student and education datasets are first obtained. The education dataset is normalized using the normalization approach in the preparation step to remove any unnecessary education data. After that, at the feature extraction …
The Impact Of Cybersecurity On The Quality Of Financial Statements, Saad A. Kareem Alsakini, Hanan Ali Alawawdeh, Saleh Alsayyed
The Impact Of Cybersecurity On The Quality Of Financial Statements, Saad A. Kareem Alsakini, Hanan Ali Alawawdeh, Saleh Alsayyed
Applied Mathematics & Information Sciences
Banks and other financial institutions in Jordan are prone to continuous cybersecurity breaches on their financial accounting statements. The impact of cybersecurity breaches on financial statements is directly related to accounting informations susceptibility to cyber-hackers. Cybersecurity breaches affect the quality of financial accounting statements. Thus, this study aims to investigate the impact of cybersecurity on the quality of financial accounting statements among selected banks in Jordan. Two types of datasets and sampling approaches were used. The primary approach consists of 506 data points about cybersecurity breaches at three banks in Jordan from 2012 to 2022, while the secondary approach employs …
Wave Function Formulation For A Circular Motion, Ola A. Jarabah
Wave Function Formulation For A Circular Motion, Ola A. Jarabah
Applied Mathematics & Information Sciences
The particle that moving on a circular path under a certain constraint is studied using Lagrangian mechanics (Euler Lagrange equation). The action function is obtained by integrating the Lagrangian through time interval ; from this function we can calculate the wave function , the behavior for the action function and the wave function is described through illustrative graphs.
Authentication Solutions In Industrial Internet Of Things: A Survey, Noura S. Aldossary, Rachid Zagrouba
Authentication Solutions In Industrial Internet Of Things: A Survey, Noura S. Aldossary, Rachid Zagrouba
Applied Mathematics & Information Sciences
With the rapid growth of industry 4.0, the Industrial Internet of Things (IIoT) is considered to be a promising solution for converting normal operations to ‘smart’ operations in industrial sectors and systems. The well-known characteristics of IIoT has greatly improved the productivity and quality of many industrial sectors. IIoT allows the connectivity of many industrial smart devices such as, sensors, actuators and gateways. The connectivity feature makes this critical environment vulnerable to various cybersecurity attacks. Subsequently, maintaining the security of IIoT sys-tems remains a challenge to ensure their success. In particular, authenticating the connected IIoT devices is a must to …
Quantifying Diversification Effects Of A Portfolio Using The Generalised Extreme Value Distribution- Archimedean Gumbel Copula Model, Delson Chikobvu, Owen Jakata
Quantifying Diversification Effects Of A Portfolio Using The Generalised Extreme Value Distribution- Archimedean Gumbel Copula Model, Delson Chikobvu, Owen Jakata
Applied Mathematics & Information Sciences
This paper uses the Generalized Extreme Value Distribution - Archimedean Gumbel copula modelling approach to quantify diversification effects in a bivariate portfolio of financial asset returns. This paper estimates Value at Risk (VaR) and Expected Shortfall (ES) of a portfolio consisting of the South African Industrial and Financial Indices using Monte-Carlo simulation. Results show that the portfolio risks are smaller than the sum of the individual component risks, indicating diversification benefits for investors. This approach is valuable for assessing, preparing, and mitigating risks in investment decisions, particularly for international investors considering cross-market diversification.
Impulsive Nonlocal Neutral Integro-Differential Equations Controllability Results On Time Scales, Suliman Alsaeed
Impulsive Nonlocal Neutral Integro-Differential Equations Controllability Results On Time Scales, Suliman Alsaeed
Applied Mathematics & Information Sciences
In this work, we studied the controllability results for neutral differential time-varying equation with impulses on time scales & extend these results into nonlocal controllability of neutral functional integro-differential time-varying equation with impulses on time scales. The solutions are obtained employing standard fixed point theorems.
Correspondence Of Oop Refactoring Techniques In Pl\Sql Environment: A Case Study Of Agile Project Code, Khitam Mashaqbeh, Issam Jebreen, Ahmad Nabot, Ahmad Al-Qerem, Amer Abu Salem
Correspondence Of Oop Refactoring Techniques In Pl\Sql Environment: A Case Study Of Agile Project Code, Khitam Mashaqbeh, Issam Jebreen, Ahmad Nabot, Ahmad Al-Qerem, Amer Abu Salem
Applied Mathematics & Information Sciences
scrum is one of the most popular agile approaches for developing software, which has code quality challenges that affect software functionality, maintainability, reliability, usability, efficiency, and portability. However, many techniques are applied to enhance code quality by analyzing and reviewing the code using code conventions, standards, and refactoring. In the Scrum development framework, handling code quality issues requires focusing on the practices that cause such issues (i.e., short testing volume). Therefore, this study aims to investigate how refactoring affects scrum source code quality and code maintainability. This study followed an experimental approach, including a case study for a large and …
Exploring Exchange Interactions In Two-Qubit System, N. K. Seadawy, A. Khalaf, A. M. Salem, Shimaa S. Abdelfattah
Exploring Exchange Interactions In Two-Qubit System, N. K. Seadawy, A. Khalaf, A. M. Salem, Shimaa S. Abdelfattah
Applied Mathematics & Information Sciences
We studied the effect of magnetic field and interdot distance on the exchange interaction in two systems of double qubits, one made of Si and the other made of GaAs. We found that the effect is the same for both systems, but the exchange value for Si qubits is smaller due to the larger effective mass of electrons. This study provides insights into the exchange interaction, which is essential for the development of quantum computers.
Symmetric Colorings Of $\Mathbb{Z}_P^N$, Yuliya Zelenyuk
Symmetric Colorings Of $\Mathbb{Z}_P^N$, Yuliya Zelenyuk
Applied Mathematics & Information Sciences
Symmetries on a group $G$ are the mappings $G\ni x\mapsto gx^{-1}g\in G$, where $g\in G$. A coloring $\chi:G\to\{1,\ldots,r\}$ of $G$ is symmetric if it is invariant under some symmetry. We count the number $S_r(\mathbb{Z}_p^n)$ of symmetric $r$-colorings of $\mathbb{Z}_p^n$, the direct product of $n$ copies of the cyclic group of prime order $p$. As a consequence we obtain that $S_r(\mathbb{Z}_p^n)=p^nr^{\frac{p^n+1}{2}}+S_r(\mathbb{Z}_p^{n-1})$.
Improving Directional Properties Of Circularly Polarized Dish Parabolic Antennas Through Knife-Edge Metallic Scatters, Ali Houssein Harmouch, Ali Elrashidi, Farah Shakra
Improving Directional Properties Of Circularly Polarized Dish Parabolic Antennas Through Knife-Edge Metallic Scatters, Ali Houssein Harmouch, Ali Elrashidi, Farah Shakra
Applied Mathematics & Information Sciences
Circularly polarized dish parabolic antennas are highly valuable due to their superior resistance to external noise compared to linearly polarized antennas. Dish parabolic antennas equipped with end-fire helical feeds offer circular polarization, high directivity, and relatively low levels of side lobes. However, the presence of a conducting ground plane in the helical feed obstructs the reflected rays from the dish, resulting in a detrimental impact on the antenna’s directional characteristics. This research focuses on optimizing the ground plane through a series of FEKO simulations, leading to a significant reduction of side lobes and an overall enhancement of the antenna’s performance. …
Generalized Connectedness In Fuzzy Bitopological Spaces, A. A. Alharbi, A. Kilicman
Generalized Connectedness In Fuzzy Bitopological Spaces, A. A. Alharbi, A. Kilicman
Applied Mathematics & Information Sciences
The primary objective of this research is to study generalized connectedness ideas in the domain of fuzzy bitopological spaces. Additionally, it presents basic theorems to figuring out how they relate to one another, and to explore some of the primary characteristics of connectedness structures. Finally, we looked at the idea of disconnection as well as all of its fundamental theories and characteristics.
Dynamics Of Einstein-Podolski-Rosen Steering For Two-Spin Heisenberg Xyz States: Dzyaloshinskii-Moriya And The Intrinsic Decoherence Effects, F. M. Aldosari
Dynamics Of Einstein-Podolski-Rosen Steering For Two-Spin Heisenberg Xyz States: Dzyaloshinskii-Moriya And The Intrinsic Decoherence Effects, F. M. Aldosari
Applied Mathematics & Information Sciences
The generation of two-qubit spins XYZ-Heisenberg steerability and entanglement, in the presence of the y-component interaction’s Dzyaloshinskii-Moriya and the intrinsic decoherence, will be investigated using Einstein-Podolski-Rosen steering and negativity. We examine the effects of the spin-spin XYZ-Heisenberg, DM y-component-interaction, and on intrinsic decoherence couplings on the two-qubit spins XYZ-Heisenberg steerability and entanglement dynamics. Our observations of the dynamical proprieties of the steerability and entanglement can be enhanced and regulated by combining the spin-spin Heisenberg and Dzyaloshinskii-Moriya interaction effects. The increase of the spin-spin XYZ-Heisenberg, DM y-component-interaction, and the intrinsic decoherence couplings has a high ability to generate the two-qubit spins …
Statistical Inference Of Marshall-Olkin Extended Exponential Distribution Based On Progressively Type-I Censored Data, Manal H. Alabdulhadi, Ahmed R. El-Saeed, Mohammed Elgarhy, Abd El-Hamid Eisa, Doaa A. Abdo
Statistical Inference Of Marshall-Olkin Extended Exponential Distribution Based On Progressively Type-I Censored Data, Manal H. Alabdulhadi, Ahmed R. El-Saeed, Mohammed Elgarhy, Abd El-Hamid Eisa, Doaa A. Abdo
Applied Mathematics & Information Sciences
In this article, we intend to study the progressive Type-I censoring (PT-TC) that has been examined, employing the Marshall-Olkin extended exponential (MOEE) distribution as the fundamental lifetime distribution. The censoring technique is believed to be independent and non-informative. Because maximum likelihood (ML) estimators cannot be derived in closed form, ML estimates (MLEs) are calculated via Newton-Raphson method approaches. In this approach, MLEs and asymptotic confidence intervals for unknown parameters are produced. Under squared error and linear exponential (LINEX) loss functions, the Bayes estimations of unknown parameters with gamma priors are evaluated. Once both parameters are unknown, the Bayes estimators cannot …
Impact Of Covid-19 Third Wave Omicron In India, Manmohan Singh, Garima Agarwal, K. S. Nisar, Osama Moaaz, Hegagi M. Ali
Impact Of Covid-19 Third Wave Omicron In India, Manmohan Singh, Garima Agarwal, K. S. Nisar, Osama Moaaz, Hegagi M. Ali
Applied Mathematics & Information Sciences
The new Covid-19 variant omicron remains a cause of concern as India is seeing a sudden spike in the number of cases related to the highly transmissible coronavirus variant that has fuelled record outbreaks in various countries in the world.Day by day the cases increases reported by union Ministry of Health and family Welfare at the end of 2021. In this study we came to a approach that omicron variant is not severe and less harmful effect in comparison of second wave in India and there is no need for more hospitalization and lockdown for this with the fact knowing …
Exploring Local Quantum Fisher Information Beyond Entanglement Of Two Distant Qubits In Coupled Dissipative Cavities Via A Waveguide, Abdel-Baset A. Mohamed
Exploring Local Quantum Fisher Information Beyond Entanglement Of Two Distant Qubits In Coupled Dissipative Cavities Via A Waveguide, Abdel-Baset A. Mohamed
Applied Mathematics & Information Sciences
We explore local quantum Fisher information (QFI) and concurrence entanglement of two distant qubits. Each qubit interacts separately with a dissipative cavity, and the two cavities are coupled via an optical fiber. Under increasing the cavity- atom, fiber-cavity, and cavity dissipation couplings, the generation and robustness of the atomic local quantum Fisher information and concurrence quantum information resources are investigated. The frequencies, regularity, and amplitudes of the generated atomic local quantum Fisher information and entanglement can be enhanced while the time disappearance-entanglement intervals are reduced by increasing the fiber-cavity interactions in the presence of the strong cavity-atom couplings. It is …
A Soft Ideal Topological Space: New Closed Set, A. A. Azzam, Ibrahim Noaman
A Soft Ideal Topological Space: New Closed Set, A. A. Azzam, Ibrahim Noaman
Applied Mathematics & Information Sciences
To use the topological structure to solve specific problems in many fields, it has become important to generalize it. So, in this work, we begin with an introduction to some of the ideas of ideal topology and soft topology that will be combined to show and explain the generalization of soft ideal generalized closed sets (I ̃GCs). A soft topological structure’s consideration of soft ideals, we explore the generalization of sets and look into the novel idea of α-generalized closed sets (αGCs). Various properties and ideas of αGCs are also presented in a soft ideal topological framework. Last but not …