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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

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 *** using new conformable delayed matrix functions and the method of variation,we obtain a representation of their *** an application,we derive a finite time stability result using the representation of solutions and a norm estimation of the conformable delayedmatrix *** obtained results are new,and they extend and improve some existing ***,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

Impact of Joule heating and multiple slips on a Maxwell nanofluid flow past a slendering surface

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Communications in Theoretical Physics 2022年第1期74卷 1-15页

作者： Hijaz Ahmadand Shafiq Ahmad Muhammad Naveed Khan Sohail Nadeem Aysha Rehman Hijaz Ahmad Rifaqat AN Department of Mathematics Quaid-I-Azam University 45320Islamabad 44000Pakistan Department of Mathematics University of GujratGujrat50700 Pakistan Section of Mathematics International Telematic University UninettunoCorso Vittorio Emanuele II3900186 RomaItaly Department of Mathematics College of Science and ArtsMuhayilKing Khalid University 9004AbhaSaudi Arabia

This manuscript presents a study of three-dimensional magnetohydrodynamic Maxwell nanofluid flow across a slendering stretched surface with Joule *** impact of binary chemical reactions,heat generation,thermal radiation,and thermophoretic effect is also taken into *** multiple slip boundary conditions are utilized at the boundary of the *** appropriate similarity variable is used to transfer the flow modeled equations into ODEs,which are numerically solved by the utilization of the MATLAB bvp4c *** involved parameter's impact on the concentration,velocity,and temperature distribution are scrutinized with *** transport rates(mass,heat)are also investigated using the same variables,with the results reported in tabulated *** is seen that the fluid relaxation,magnetic,and wall thickness characteristics diminish the velocities of ***,the velocity,concentration,and temperature slip parameters reduce the velocities of fluid,temperature,and concentration *** results are compared to existing studies and shown to be in dependable agreement.

关键词： Maxwell nanofluid slendering stretching surface Joule heating thermal radiation thermophoretic effect

Accounting Harmonization for the Assessment of the Public Expenditure in Healthcare Service： Evidence From the Italian Experience

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Journal of Modern Accounting and Auditing 2013年第8期9卷 1005-1017页

作者： Niccol6 Persiani Alberto Romolini Fabrizio Rossi Claudia Galanti university of Florence Florence Italy International Telematic university uninettuno Rome Italy university of Tuscia Viterbo Italy

The introduction of the New Public Management （NPM） has not bridged the differences among the various European accounting traditions. In Italy, in particular, there are still different accounting methods in all public sectors. In the healthcare system, these differences have emerged more strongly. The recent Italian reform on accounting harmonization seems to be the answer to this accounting disharmony and represents a means of controlling public expenditure. This study aims to analyze the consolidated financial statement and the consolidated cash flow statement of the regional healthcare system as a new tool for the accounting harmonization. This paper is divided into two logical parts： In the first part, the authors analyze how the new accounting model is evolving under the current reform; in the second part, the authors analyze the consolidated financial statement and the consolidated cash flow statement that has been applied experimentally over the last two years in the Umbria Region.

关键词： accounting harmonization consolidated financial statement consolidated cash flow statement,healthcare public expenditure

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 *** 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

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 *** novelty of this work comes through mathematical modeling of the dynamics of TB not only in HIV but also in HIV-HCV co-infected *** analyze the formulated model by proving the existence of disease-free equilibrium *** 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 *** from the mathematical analysis indicates that the disease-free equilibrium solution is globally asymptotically stable if Ro<*** existence of unique endemic equilibrium solution is established through numerical ***,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 *** 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

New mathematical modelings of the human liver and hearing loss systems with fractional derivatives

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International Journal of Biomathematics 2023年第1期16卷 183-207页

作者： Mir Sajjad Hashemi Mohammad Partohaghighi Hijaz Ahmad Department of Mathematics Basic Science Faculty University of BonabP.O.Boc 55513-95133 BonabIran Department of Mathematics Clarkson University PotsdamNY13699USA Department of Basic Sciences university of Engineering and Technology Peshawar 25000 Pakistan Section of Mathematics International Telematic university uninettuno Corso Vittorio Emanuele I 39Roma 00186Italy

Fractional derivatives are significant mathematical instruments that have been practiced to model real phenomena in different areas of *** the current investigation study,we develop the Human Liver and Hearing Loss models by employing three fractional operators called Atangana-Baleanu-Caputo,Caputo and Caputo-Fabrizio *** numerical techniques regarding the basic theories of fractional analysis considered to obtain the approximate solutions of the offered ***,approximate results are presented for showing the efficacy of the methods during graphs of *** see the performance of the suggested models,different fractional orders are tested.

关键词： Numerical method fractional calculus fractional derivatives Human Liver model Hearing Loss model Lagrange interpolation.

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 *** address these problems,numerous organizations rely on the use of cryptographic techniques to secure data from illegal activities and *** 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 *** the designing of a secure substitution box(S-box),non-linearity(NL)which is an algebraic property of the S-box has great ***,the main focus of cryptographers is to achieve the S-box with a high value of *** 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 *** technique is only applicable for the even number exponent in the range(2-254)that are not multiples of ***,we choose a quadratic fractional transformation,swap each missing element with repeating elements,and acquire the initial *** 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 *** 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 *** different analyses,it is ensured that the proposed S-boxes are better than as compared to the existing *** 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

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 *** 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 *** 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 *** major objective of this investigation is to formulate the q-rung orthopair fuzzy soft Einstein hybrid weighted average(q-ROFSEHWA)operator and its specific ***,our stated operator is implementing intelligentmulti-criteria group decision-making(MCGDM)*** 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 *** 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