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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 *** frequently search for new ideas and strategies to assist them in realizing sustainable *** 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 *** 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 *** operators are highly advantageous in addressing uncertain problems by considering membership and non-membership values within intervals,providing a superior solution to other ***,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 ***,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

An Eight Component Integrable Hamiltonian Hierarchy from a Reduced Seventh-Order matrix Spectral Problem

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Journal of Applied mathematics and Physics 2024年第6期12卷 2102-2111页

作者： Savitha Muthanna wen-xiu ma Department of Applied mathematics University of Washington Seattle WA USA Department of mathematics University of California Los Angeles Los Angeles CA USA Tektronix Inc. Beaverton Oregon USA Department of mathematics Zhejiang Normal University Jinhua China Department of mathematics King Abdulaziz University Jeddah Saudi Arabia Department of mathematics and Statistics University of South Florida Tampa FL USA material Science Innovation and Modelling North-West University Mafikeng Campus Mmabatho South Africa

We present an eight component integrable Hamiltonian hierarchy, based on a reduced seventh order matrix spectral problem, with the aim of aiding the study and classification of multicomponent integrable models and their underlying mathematical structures. The zero-curvature formulation is the tool to construct a recursion operator from the spatial matrix problem. The second and third set of integrable equations present integrable nonlinear Schrödinger and modified Korteweg-de Vries type equations, respectively. The trace identity is used to construct Hamiltonian structures, and the first three Hamiltonian functionals so generated are computed.

关键词： matrix Spectral Problem Zero Curvature Equation Lax Pair Integrable Hierarchy NLS Equations mKdV Equations Hamiltonian Structure Lie Bracke

Reduced nonlocal integrable mKdV equations of type(-λ, λ) and their exact soliton solutions

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Communications in Theoretical Physics 2022年第6期74卷 15-20页

作者： wen-xiu ma Department of mathematics Zhejiang Normal UniversityJinhua 321004China Department of mathematics King Abdulaziz UniversityJeddah 21589Saudi Arabia Department of mathematics and Statistics University of South FloridaTampaFL 33620-5700United States of America

We conduct two group reductions of the Ablowitz-Kaup-Newell-Segur matrix spectral problems to present a class of novel reduced nonlocal reverse-spacetime integrable modified Korteweg-de Vries equations. One reduction is local, replacing the spectral parameter with its negative and the other is nonlocal, replacing the spectral parameter with itself. Then by taking advantage of distribution of eigenvalues, we generate soliton solutions from the reflectionless Riemann-Hilbert problems, where eigenvalues could equal adjoint eigenvalues.

关键词： nonlocal integrable equation soliton solution Riemann-Hilbert problem

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Integrable nonlocal PT-symmetric generalized so(3,R)-mKdV equations

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Communications in Theoretical Physics 2023年第12期75卷 19-24页

作者： Shou-Ting Chen wen-xiu ma School of mathematics and Statistics Xuzhou University of TechnologyXuzhou 221008JiangsuChina Department of mathematics Zhejiang Normal UniversityJinhua 321004ZhejiangChina Department of mathematics King Abdulaziz UniversityJeddah 21589Saudi Arabia Department of mathematics and Statistics University of South FloridaTampaFL 33620-5700United States of America School of mathematical and Statistical Sciences North-West UniversityMafikeng CampusPrivate Bag X2046Mmabatho 2735South Africa

Based on a soliton hierarchy associated with so(3,R),we construct two integrable nonlocal PT-symmetric generalized mKdV *** key step is to formulate two nonlocal reverse-spacetime similarity transformations for the involved spectral matrix,and therefore,integrable nonlocal complex and real reverse-spacetime generalized so(3,R)-mKdV equations of fifth-order are *** resulting reduced nonlocal integrable equations inherit infinitely many commuting symmetries and conservation laws.

关键词： integrable equation lax pair nonlocal reduction PT-symmetry zero curvature equation

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Lie symmetry analysis and invariant solutions for(2+1) dimensional Bogoyavlensky-Konopelchenko equation with variable-coefficient in wave propagation

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Journal of Ocean Engineering and Science 2022年第3期7卷 248-254页

作者： Mohamed R.Ali wen-xiu ma R.Sadat Department of Basic Science Faculty of Engineering at BenhaBenha UniversityBenhaEgypt Department of mathematics Zhejiang Normal UniversityJinhua 321004ZhejiangChina Department of mathematics King Abdulaziz UniversityJeddah 21589Saudi Arabia Department of mathematics and Statistics University of South FloridaTampaFL 33620-5700USA School of mathematics South China University of TechnologyGuangzhou 510640China Department of mathematics Zagazig Faculty of EngineeringZagazig UniversityZagazigEgypt

This work aims to present nonlinear models that arise in ocean *** are many models of ocean waves that are present in *** shallow water,the linearization of the equations requires critical conditions on wave capacity than it make in deep water,and the strong nonlinear belongings are *** use Lie symmetry analysis to obtain different types of soliton solutions like one,two,and three-soliton solutions in a(2+1)dimensional variable-coefficient Bogoyavlensky Konopelchenko(VCBK)equation that describes the interaction of a Riemann wave reproducing along the y-axis and a long wave reproducing along the x-axis in engineering and *** use the Lie symmetry analysis then the integrating factor method to obtain new solutions of the VCBK *** demonstrate the physical meaning of the solutions obtained by the presented techniques,the graphical performance has been demonstrated with some *** presented equation has fewer dimensions and is reduced to ordinary differential equations using the Lie symmetry technique.

关键词： Symmetry approach Solitons Partial differential equations The variable coefficients(2+1)-dimensional Bogoyavlensky Konopelchenko equation Nonlinear evolution equations

Trilinear equations, Bell polynomials, and resonant solutions

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Frontiers of mathematics in China 2013年第5期8卷 1139-1156页

作者： wen-xiu ma Department of mathematics and Statistics University of South FloridaTampa FL 33620-5700 USA

A class of trilinear differential operators is introduced through a technique of assigning signs to derivatives and used to create trilinear differential equations. The resulting trilinear differential operators and equations are characterized by the Bell polynomials, and the superposition principle is applied to the construction of resonant solutions of exponential waves. Two illustrative examples are made by an algorithm using weights of dependent variables.

关键词： Trilinear differential equation Bell polynomial superposition principle

Linear superposition of Wronskian rational solutions to the KdV equation

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Communications in Theoretical Physics 2021年第6期73卷 1-5页

作者： wen-xiu ma Department of mathematics Zhejiang Normal UniversityJinhua 321004ZhejiangChina Department of mathematics King Abdulaziz UniversityJeddah 21589Saudi Arabia Department of mathematics and Statistics University of South FloridaTampaFL 33620-5700United States of America School of mathematical and Statistical Sciences North-West UniversityMafikeng CampusPrivate Bag X2046Mmabatho 2735South Africa

A linear superposition is studied for Wronskian rational solutions to the Kd V equation,which include rogue wave *** is proved that it is equivalent to a polynomial identity that an arbitrary linear combination of two Wronskian polynomial solutions with a difference two between the Wronskian orders is again a solution to the bilinear Kd V *** is also conjectured that there is no other rational solutions among general linear superpositions of Wronskian rational solutions.

关键词： soliton equation Wronskian solution rational solution rogue wave the KdV equation

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Interaction solutions to Hirota-Satsuma-Ito equation in (2+1)-dimensions

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Frontiers of mathematics in China 2019年第3期14卷 619-629页

作者： wen-xiu ma Department of mathematics Zhejiang Normal University Jinhua 321004 China Department of mathematics King Abdulaziz University Jeddah Saudi Arabia Department of mathematics and Statistics University of South Florida Tampa FL 33620 USA College of mathematics and Physics Shanghai University of Electric Power Shanghai 200090 China College of mathematics and Systems Science Shandong University of Science and Technology Qingdao 266590 China Department of mathematical Sciences North-West University Mafikeng Campus Mmabatho 2735 South Africa

Abundant exact interaction solutions, including lump-soliton, lump-kink, and lump-periodic solutions, are computed for the Hirota-Satsuma-Ito equation in (2+1)-dimensions, through conducting symbolic computations with maple. The basic starting point is a Hirota bilinear form of the Hirota-Satsuma-Ito equation. A few three-dimensional plots and contour plots of three special presented solutions are made to shed light on the characteristic of interaction solutions.

关键词： Symbolic computation lump solution interaction solution

Lump solutions to a generalized Hietarinta-type equation via symbolic computation

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Frontiers of mathematics in China 2020年第3期15卷 435-450页

作者： Sumayah BATWA wen-xiu ma Department of mathematics King Abdulaziz UniversityJeddahSaudi Arabia Department of mathematics Zhejiang Normal UniversityJinhua 321004China Department of mathematics and Statistics University of South FloridaTampaFL 33620USA School of mathematics South China University of TechnologyGuangzhou 510640China

Lump solutions are one of important solutions to partial differential equations,both linear and *** paper aims to show that a Hietarinta-type fourth-order nonlinear term can create lump solutions with second-order linear dispersive *** key is a Hirota bilinear *** solutions are constructed via symbolic computations with maple,and specific reductions of the resulting lump solutions are *** illustrative examples of the generalized Hietarinta-type nonlinear equations and their lumps are presented,together with three-dimensional plots and density plots of the lump solutions.

关键词： Soliton equation lump solution symbolic computation Hirota derivative dispersion relation