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AGGREGATE SPECIAL FUNCTIONS TO APPROXIMATE PERMUTING TRI-HOMOMORPHISMS AND PERMUTING TRI-DERIVATIONS ASSOCIATED WITH A TRI-ADDITIVEψ-FUNCTIONAL INEQUALITY IN BANACH ALGEBRAS

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Acta Mathematica Scientia 2024年第1期44卷 311-338页

作者： Safoura Rezaei ADERYANI Azam AHADI Reza SAADATI Hari M.SRIVASTAVA School of Mathematics Iran University of Science and TechnologyNarmakTehranIran Department of Mathematics and Statistics Universtity of VictoriaVictoriaCanada Department of Medical Research China Medical University HospitalChina Medical UniversityTaichung40402China Department of Mathematics and Informatics Azerbaijan University71 Jeyhun Hajibeyli StreetAZ1007BakuAzerbaijan Section of Mathematics International TelematicUniversity UninettunoI-00186RomeItaly

In this paper,we define a new class of control functions through aggregate special functions.These class of control functions help us to stabilize and approximate a tri-additiveψ-functional inequality to get a better estimation for permuting tri-homomorphisms and permuting tri-derivations in unital C*-algebras and Banach algebras by the vector-valued alternative fixed point theorem.

关键词： permuting tri-homomorphism in Banach algebra permuting tri-derivation on C*-algebra fixed point theorem Ulam-Hyers-Rassias stability aggregate special functions tri-additiveψ-functional inequality

Einstein Hybrid Structure of q-Rung Orthopair Fuzzy Soft Set and Its Application for Diagnosis of Waterborne Infectious Disease

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Computer Modeling in Engineering & Sciences 2024年第5期139卷 1863-1892页

作者： Rana Muhammad Zulqarnain Hafiz Khalil ur Rehman Imran Siddique HijazAhmad Sameh Askar Shahid Hussain Gurmani School of Mathematical Sciences Zhejiang Normal UniversityJinhua321004China Department of Mathematics Government College UniversityFaisalabad38000Pakistan Department of Mathematics University of SargodhaSargodha40100Pakistan Section of Mathematics International Telematic University UninettunoCorso Vittorio Emanuele IIRoma3900186Italy Near East university Operational Research Center in HealthcareNear East BoulevardNicosia/Mersin 1099138Turkey Department of Statistics and Operations Research College of ScienceKing Saud UniversityPO Box 2455Riyadh11451Saudi Arabia

This research is devoted to diagnosing water-borne infectious diseases caused by floods employing a novel diagnosis approach,the Einstein hybrid structure of q-rung orthopair fuzzy soft set.This approach integrates parts of fuzzy logic and soft set theory to develop a robust alternative for disease detection in stressful situations,especially in areas affected by floods.Compared to the traditional intuitionistic fuzzy soft set and Pythagorean fuzzy soft set,the q-rung orthopair fuzzy soft set(q-ROFSS)adequately incorporates unclear and indeterminate facts.The major objective of this investigation is to formulate the q-rung orthopair fuzzy soft Einstein hybrid weighted average(q-ROFSEHWA)operator and its specific characteristics.Moreover,our stated operator is implementing intelligentmulti-criteria group decision-making(MCGDM)methodology.Floods are severe natural catastrophes that raise the risk of diseases and epidemics,particularly those caused by contaminants in the water,such as gastrointestinal diseases,respiratory infections,vector-borne diseases,skin infections,and water-borne parasites.The designed MCGDM strategy tackles the prevalence of certain conditions in flood-affected patients.A comparative investigation determined that the suggested method for detecting water-borne infectious disease due to floods is more effective and productive than conventional methods because of its logical structure.

关键词： q-rung orthopair fuzzy soft set q-ROFSEHWA operator MCGDM environmental disaster water-born infection disease

Soliton solutions for nonlinear variable-order fractional Korteweg-de Vries(KdV)equation arising in shallow water waves

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Journal of Ocean Engineering and Science 2024年第1期9卷 50-58页

作者： Umair Ali Hijaz Ahmad Hanaa Abu-Zinadah Department of Applied Mathematics and Statistics Institute of Space TechnologyP.O.Box 2750Islamabad 44000Pakistan Near East university Operational Research Center in HealthcareNear East BoulevardPC:99138 Nicosia/Mersin 10Turkey Section of Mathematics International Telematic University UninettunoCorso Vittorio Emanuele II3900186 RomaItaly university of Jeddah College of ScienceDepartment of StatisticsJeddahSaudi Arabia

Nonlinear fractional differential equations provide suitable models to describe real-world phenomena and many fractional derivatives are varying with time and space.The present study considers the advanced and broad spectrum of the nonlinear(NL)variable-order fractional differential equation(VO-FDE)in sense of VO Caputo fractional derivative(CFD)to describe the physical models.The VO-FDE transforms into an ordinary differential equation(ODE)and then solving by the modified(G/G)-expansion method.For ac-curacy,the space-time VO fractional Korteweg-de Vries(KdV)equation is solved by the proposed method and obtained some new types of periodic wave,singular,and Kink exact solutions.The newly obtained solutions confirmed that the proposed method is well-ordered and capable implement to find a class of NL-VO equations.The VO non-integer performance of the solutions is studied broadly by using 2D and 3D graphical representation.The results revealed that the NL VO-FDEs are highly active,functional and convenient in explaining the problems in scientific physics.

关键词： Space-time VO fractional KdV equation modiﬁed(G′/G)-expansion method VO Caputo fractional derivative generalized Riccati equation

An Intelligent MCGDM Model in Green Suppliers Selection Using Interactional Aggregation Operators for Interval-Valued Pythagorean Fuzzy Soft Sets

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Computer Modeling in Engineering & Sciences 2024年第5期139卷 1829-1862页

作者： Rana Muhammad Zulqarnain Wen-Xiu Ma Imran Siddique Hijaz Ahmad Sameh Askar School of Mathematical Sciences Zhejiang Normal UniversityJinhua321004China Department of Mathematics and Statistics University of South FloridaTampaFL 33620-5700USA School of Mathematical and Statistical Sciences North-West UniversityMafikeng CampusMmabatho2735South Africa Department of Mathematics University of SargodhaSargodha40100Pakistan Section of Mathematics International Telematic University UninettunoCorso Vittorio Emanuele IIRoma00186Italy Near East university Operational Research Center in HealthcareNicosia/Mersin99138Turkey Department of Statistics and Operations Research College of ScienceKing Saud UniversityRiyadh11451Saudi Arabia

Green supplier selection is an important debate in green supply chain management(GSCM),attracting global attention from scholars,especially companies and policymakers.Companies frequently search for new ideas and strategies to assist them in realizing sustainable development.Because of the speculative character of human opinions,supplier selection frequently includes unreliable data,and the interval-valued Pythagorean fuzzy soft set(IVPFSS)provides an exceptional capacity to cope with excessive fuzziness,inconsistency,and inexactness through the decision-making procedure.The main goal of this study is to come up with new operational laws for interval-valued Pythagorean fuzzy soft numbers(IVPFSNs)and create two interaction operators-the intervalvalued Pythagorean fuzzy soft interaction weighted average(IVPFSIWA)and the interval-valued Pythagorean fuzzy soft interaction weighted geometric(IVPFSIWG)operators,and analyze their properties.These operators are highly advantageous in addressing uncertain problems by considering membership and non-membership values within intervals,providing a superior solution to other methods.Moreover,specialist judgments were calculated by the MCGDM technique,supporting the use of interaction AOs to regulate the interdependence and fundamental partiality of green supplier assessment aspects.Lastly,a statistical clarification of the planned method for green supplier selection is presented.

关键词： Interval-valued Pythagorean fuzzy soft set IVPFSIWA operator IVPFSIWG operator MCGDM SCM

Exact Solutions and Finite Time Stability of Linear Conformable Fractional Systems with Pure Delay

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Computer Modeling in Engineering & Sciences 2023年第2期134卷 927-940页

作者： Ahmed M.Elshenhab Xingtao Wang Fatemah Mofarreh Omar Bazighifan School of Mathematics Harbin Institute of TechnologyHarbin150001China Department of Mathematics Faculty of ScienceMansoura UniversityMansoura35516Egypt Mathematical Science Department Faculty of SciencePrincess Nourah Bint Abdulrahman UniversityRiyadh11546Saudi Arabia Section of Mathematics International Telematic University UninettunoRoma00186Italy

We study nonhomogeneous systems of linear conformable fractional differential equations with pure delay.By using new conformable delayed matrix functions and the method of variation,we obtain a representation of their solutions.As an application,we derive a finite time stability result using the representation of solutions and a norm estimation of the conformable delayedmatrix functions.The obtained results are new,and they extend and improve some existing ones.Finally,an example is presented to illustrate the validity of our theoretical results.

关键词： Representation of solutions conformable fractional derivative conformable delayed matrix function conformable fractional delay differential equations finite time stability

Fuzzy-entropy based robust optimization criteria for tuned mass dampers

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Earthquake Engineering and Engineering Vibration 2010年第2期9卷 285-294页

作者： Giuseppe Carlo Marano Giuseppe Quaranta Sara Sgobba Department of Environmental Engineering and Sustainable Development Technical University of Bari Department of Structural Engineering and Geotechnics University of Rome "La Sapienza" Faculty of Engineering International University UNINETTUNO

Tuned mass dampers (TMD) are well known as one of the most widely adopted devices in vibration control passive strategies. In the past few decades,many methods have been developed to find the optimal parameters of a TMD installed on a structure and subjected to a random base excitation process,but most of them are usually based on an implicit assumption that all of the structural parameters are deterministic. However,in many real cases this simplification is unacceptable,so robust optimal design criteria becomes aviable alternative to better support engineers in the design process. In Robust Design Optimization (RDO) approaches,indeed the solution must be able to not only minimize the performance but also to limitits variation induced by uncertainty. Most of the currently available RDO methods are based on a probabilistic description of the model uncertainty,even if in many cases they are not able to explicitly include the influence of all the possible sources of uncertainties. Therefore,in this study,a fuzzy version of the robust TMD design optimization problem is proposed. The consistency of the fuzzy approach is studied with respect to the available non-probabilistic formulations reported in the literature and an application to an example of a robust design of a linear TMD subjected to base random vibrations in the presence of fuzzy uncertainties. The results show that the proposed fuzzy-based approach is able to give a set of optimal solutions both in terms of structural efficiency and sensitivity to mechanical and environmental uncertainties.

关键词： tuned mass damper random vibration robust design fuzzy variable expected value fuzzy entropy

Dynamics of tuberculosis in HIV-HCV co-infected cases

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International Journal of Biomathematics 2023年第3期16卷 219-245页

作者： Taye Samuel Matthew O.Adewole Hijaz Ahmad Farah A.Abdullah Faniran Department of Computer Science Lead City university IbadanNigeria Department of Computer Science and Mathematics Mountain Top university Prayer City Ogun StateNigeria Section of Mathematics International Telematic university uninettuno Corso Vittorio Emanuele Il 3900186 RomaItaly School of Mathematical Sciences Universiti Sains Malaysia Malaysia

This work presents a compartmental mathematical model describing transmission and spread of tuberculosis(TB)in HIV-HCV co-infected cases.The novelty of this work comes through mathematical modeling of the dynamics of TB not only in HIV but also in HIV-HCV co-infected cases.We analyze the formulated model by proving the existence of disease-free equilibrium solution.We calculate the basic reproduction number Ro,of the model and construct Lyapunov-Lasalle candidate function to explore the global asymptotic stability of the disease-free equilibrium solution.Result from the mathematical analysis indicates that the disease-free equilibrium solution is globally asymptotically stable if Ro<1.The existence of unique endemic equilibrium solution is established through numerical investigation.Further,the model is reformulated as an optimal control problem,considering time-dependent controls(vaccination and public health education)to minimize the spread of tuberculosis in HIV-HCV co-infected cases,using Pontryagin's maximum principle.Numerical simulations and cost-effectiveness analysis are carried out which reveal that vaccination combined with public health education would reduce the spread of tuberculosis when HIV-HCV co-infected cases have been successfully controlled in the population.

关键词： Tuberculosis HIV-HCV co-infection global stability optimal control simulations

A Mathematical Approach for Generating a Highly Non-Linear Substitution Box Using Quadratic Fractional Transformation

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Computers, Materials & Continua 2023年第11期77卷 2565-2578页

作者： Abid Mahboob Muhammad Asif Rana Muhammad Zulqarnain Imran Saddique Hijaz Ahmad Sameh Askar Department of Mathematics Division of Science and TechnologyUniversity of EducationLahorePakistan Department of Mathematics University of Management and TechnologySialkot Campus51310Pakistan School of Mathematical Sciences Zhejiang Normal UniversityJinhua321004China Department of Mathematics University of Management and TechnologyLahore54770Pakistan Section of Mathematics International Telematic University UninettunoCorso Vittorio Emanuele IIRoma39-00186Italy Department of Statistics and Operations Research College of ScienceKing Saud UniversityP.O.Box 2455Riyadh11451Saudi Arabia

Nowadays,one of the most important difficulties is the protection and privacy of confidential data.To address these problems,numerous organizations rely on the use of cryptographic techniques to secure data from illegal activities and assaults.Modern cryptographic ciphers use the non-linear component of block cipher to ensure the robust encryption process and lawful decoding of plain data during the decryption phase.For the designing of a secure substitution box(S-box),non-linearity(NL)which is an algebraic property of the S-box has great importance.Consequently,the main focus of cryptographers is to achieve the S-box with a high value of non-linearity.In this suggested study,an algebraic approach for the construction of 16×16 S-boxes is provided which is based on the fractional transformation Q(z)=1/α(z)^(m)+β(mod257)and finite field.This technique is only applicable for the even number exponent in the range(2-254)that are not multiples of 4.Firstly,we choose a quadratic fractional transformation,swap each missing element with repeating elements,and acquire the initial S-box.In the second stage,a special permutation of the symmetric group S256 is utilized to construct the final S-box,which has a higher NL score of 112.75 than the Advanced Encryption Standard(AES)S-box and a lower linear probability score of 0.1328.In addition,a tabular and graphical comparison of various algebraic features of the created S-box with many other S-boxes from the literature is provided which verifies that the created S-box has the ability and is good enough to withstand linear and differential attacks.From different analyses,it is ensured that the proposed S-boxes are better than as compared to the existing S-boxes.Further these S-boxes can be utilized in the security of the image data and the text data.

关键词： Block cipher S-box data security fractional transformation

An Artificial Intelligence Approach for Solving Stochastic Transportation Problems

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Computers, Materials & Continua 2022年第1期70卷 817-829页

作者： Prachi Agrawal Khalid Alnowibet Talari Ganesh Adel F.Alrasheedi Hijaz Ahmad Ali Wagdy Mohamed Department of Mathematics and Scientific Computing National Institute of Technology HamirpurHimachal Pradesh177005India Statistics and Operations Research Department College of ScienceKing Saud UniversityRiyadh11451Kingdom of Saudi Arabia Section of Mathematics International Telematic University UninettunoRoma00186Italy Operations Research Department Faculty of Graduate Studies for Statistical ResearchCairo UniversityGiza12613Egypt Wireless Intelligent Networks Center(WINC) School of Engineering and Applied SciencesNile UniversityGizaEgypt

Recent years witness a great deal of interest in artificial intelligence(AI)tools in the area of optimization.AI has developed a large number of tools to solve themost difficult search-and-optimization problems in computer science and operations research.Indeed,metaheuristic-based algorithms are a sub-field of AI.This study presents the use of themetaheuristic algorithm,that is,water cycle algorithm(WCA),in the transportation problem.A stochastic transportation problem is considered in which the parameters supply and demand are considered as random variables that follow the Weibull distribution.Since the parameters are stochastic,the corresponding constraints are probabilistic.They are converted into deterministic constraints using the stochastic programming approach.In this study,we propose evolutionary algorithms to handle the difficulties of the complex high-dimensional optimization problems.WCA is influenced by the water cycle process of how streams and rivers flow toward the sea(optimal solution).WCA is applied to the stochastic transportation problem,and obtained results are compared with that of the new metaheuristic optimization algorithm,namely the neural network algorithm which is inspired by the biological nervous system.It is concluded that WCA presents better results when compared with the neural network algorithm.

关键词： Artificial intelligence metaheuristic algorithm stochastic programming transportation problem water cycle algorithm weibull distribution