Synergies in Analysis, Discrete Mathematics, Soft Computing and Modelling PDF
Preview Synergies in Analysis, Discrete Mathematics, Soft Computing and Modelling
Forum for Interdisciplinary Mathematics P. V. Subrahmanyam V. Antony Vijesh Balasubramaniam Jayaram Prakash Veeraraghavan Editors Synergies in Analysis, Discrete Mathematics, Soft Computing and Modelling Forum for Interdisciplinary Mathematics Editors-in-Chief ViswanathRamakrishna,UniversityofTexas,Richardson,USA ZhonghaiDing,UniversityofNevada,LasVegas,USA EditorialBoard AshisSenGupta,IndianStatisticalInstitute,Kolkata,India BalasubramaniamJayaram,IndianInstituteofTechnology,Hyderabad,India P.V.Subrahmanyam,IndianInstituteofTechnologyMadras,Chennai,India RavindraB.Bapat,IndianStatisticalInstitute,NewDelhi,India The Forum for Interdisciplinary Mathematics is a Scopus-indexed book series. It publishes high-quality textbooks, monographs, contributed volumes and lecture notes in mathematics and interdisciplinary areas where mathematics plays a fundamentalrole,suchasstatistics,operationsresearch,computerscience,financial mathematics,industrialmathematics,andbio-mathematics.Itreflectstheincreasing demand of researchers working at the interface between mathematics and other scientificdisciplines. · · P. V. Subrahmanyam V. Antony Vijesh · Balasubramaniam Jayaram Prakash Veeraraghavan Editors Synergies in Analysis, Discrete Mathematics, Soft Computing and Modelling Editors P.V.Subrahmanyam V.AntonyVijesh DepartmentofMathematics DepartmentofMathematics IndianInstituteofTechnologyMadras IndianInstituteofTechnologyIndore Chennai,India Indore,MadhyaPradesh,India BalasubramaniamJayaram PrakashVeeraraghavan DepartmentofMathematics DepartmentofComputerScience IndianInstituteofTechnologyHyderabad andInformationTechnology Kandi,Telangana,India LaTrobeUniversity Melbourne,VIC,Australia ISSN 2364-6748 ISSN 2364-6756 (electronic) ForumforInterdisciplinaryMathematics ISBN 978-981-19-7013-9 ISBN 978-981-19-7014-6 (eBook) https://doi.org/10.1007/978-981-19-7014-6 ©TheEditor(s)(ifapplicable)andTheAuthor(s),underexclusivelicensetoSpringerNature SingaporePteLtd.2023 Thisworkissubjecttocopyright.AllrightsaresolelyandexclusivelylicensedbythePublisher,whether thewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuse ofillustrations,recitation,broadcasting,reproductiononmicrofilmsorinanyotherphysicalway,and transmissionorinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilar ordissimilarmethodologynowknownorhereafterdeveloped. Theuseofgeneraldescriptivenames,registerednames,trademarks,servicemarks,etc.inthispublication doesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevant protectivelawsandregulationsandthereforefreeforgeneraluse. Thepublisher,theauthors,andtheeditorsaresafetoassumethattheadviceandinformationinthisbook arebelievedtobetrueandaccurateatthedateofpublication.Neitherthepublishernortheauthorsor theeditorsgiveawarranty,expressedorimplied,withrespecttothematerialcontainedhereinorforany errorsoromissionsthatmayhavebeenmade.Thepublisherremainsneutralwithregardtojurisdictional claimsinpublishedmapsandinstitutionalaffiliations. ThisSpringerimprintispublishedbytheregisteredcompanySpringerNatureSingaporePteLtd. The registered company address is: 152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore Preface Mathematics permeates every aspect of our daily life, and it can aptly be called “God’s own science”. The Forum for Interdisciplinary Mathematics, Stella Maris College,andS.S.NCollegeofEngineeringjointlyorganizedanonlineinternational conferenceentitled“SynergiesinComputational,Mathematical,StatisticalandPhys- ical Sciences (FIM2020: SCMPS2020), from 23–27 November 2020 at Chennai, India, highlighting the interdisciplinary nature of mathematics. This conference attractedabout250researchers,botheminentandemergent,andcomprisednumerous keynote addresses, plenary talks, symposia on special areas and parallel sessions of paper presentation. For the convenience of potential authors, several venues for refereed publication of submitted articles were suggested by the conference orga- nizing committee, including the present proceedings in the Springer’s Forum for InterdisciplinaryMathematicsseries. Boththeinvitedarticlesandsubmittedpaperswerebroadlygroupedunderthree parts:analysisandmodelling,discretemathematicsandapplications,andfuzzyset theoryandapplications.Morethanfiftypapersweresubmittedandmorethan100 referees of international standing evaluated the submissions critically despite the constraintsduetotheprevalentpandemic.Eachpaperwasatleastdoublyrefereed withtheacceptanceratebeingoneoutofthree.Theauthorsofthosepaperswhich could not be accepted were given useful suggestions for improvement which will hopefullyhelpthempublishtherevisedversionselsewhere. We place on record our thanks to the referees for sparing their valuable time andenergyincriticallyappraisingthearticlessubmitted.Wealsoacknowledgethe supportprovidedbythemanagementoftheForumforInterdisciplinaryMathematics seriesinpublishingthepresentproceedings. Chennai,India P.V.Subrahmanyam Indore,India V.AntonyVijesh Kandi,India BalasubramaniamJayaram Melbourne,Australia PrakashVeeraraghavan v Contents 1 The Second- and Third-Order Hermitian Toeplitz Determinants for Some Subclasses of Analytic Functions AssociatedwithExponentialFunction ........................... 1 P.Gurusamy,R.Jayasankar,andS.Sivasubramanian 2 Some Results on a Starlike Class with Respect to(j,m)-SymmetricFunctions ................................. 17 K.RenukaDevi, S.Sivasubramanian, HamidShamsan, andS.Latha 3 Experimental Evaluation of Four Intermediate Filters toImprovetheMotionFieldEstimation ......................... 27 VanelLazcanoandClaudioIsa-Mohor 4 OnthesthDerivativeofaPolynomial ........................... 43 BarchandChanamandKshetrimayumKrishnadas 5 On the Problem of Pricing a Double Barrier Option inaModifiedBlack-ScholesEnvironment ....................... 51 G.VenkiteswaranandS.Udayabaskaran 6 Caputo Sequential Fractional Differential Equations withApplications ............................................. 83 AghalayaS.VatsalaandGovindaPageni 7 Herscovici’s Conjecture on Product of Some Complete BipartiteGraphs .............................................. 103 A.LourdusamyandS.SarathaNellainayaki 8 OnFault-TolerantMetricDimensionofHeptagonalCircular LadderandItsRelatedGraphs ................................. 111 SunnyKumarSharmaandVijayKumarBhat 9 BKSFuzzyInferenceEmployingh-Implications ................. 123 SayantanMandalandBalasubramaniamJayaram vii viii Contents 10 NoteonDistributivityofDifferentStringOperationsOver LanguageSets ................................................ 139 KalpanaMahalingam,UjjwalKumarMishra,andRamaRaghavan 11 AGeneralizationofχ-BindingFunctions ........................ 151 M.A.ShaluandT.P.Sandhya 12 AShortProofofOre’s f-FactorTheoremUsingFlows ........... 163 SriramanSridharanandPatrickVilamajó 13 ADecision-MakingProblemInvolvingSoftFuzzyNumber ValuedInformationSystem:Energy-EfficientLight-Emitting DiodeBlubs .................................................. 171 FelbinC.Kennedy, S.MasillaMosesKennedy, S.ArulRoseletMeryline,andM.Jayachandiran 14 Role of Single Valued Linear Octagonal Neutrosophic NumbersinMulti-attributeDecision-MakingProblems ........... 205 S.Subasri,S.ArulRoseletMeryline,andFelbinC.Kennedy About the Editors P.V.SubrahmanyamisFormerProfessorandHeadoftheDepartmentofMathe- maticsattheIndianInstituteofTechnologyMadras(IITMadras),India.Hereceived his Ph.D. in Mathematics from the IIT Madras, for his dissertation on “Topics in Fixed-PointTheory”underthesupervisionof(late)Dr.V.SubbaRao.Hereceived hisM.Sc.degreeinMathematicsfromtheIITMadrasandB.Sc.degreeinMathe- maticsfromMadrasUniversity.Hehasheldseveralimportantadministrativeposi- tions,suchasSeniorProfessorandHeadoftheDepartmentofMathematicsatthe IIT Madras; Founder and Head of the Department of Mathematics at the Indian Institute of Technology Hyderabad (IIT Hyderabad); Executive Chairman of the AssociationofMathematicsTeachersofIndia(AMTI);PresidentoftheForumfor InterdisciplinaryMathematics(FIM);andthenChiefEditoroftheForumforInter- disciplinaryMathematics(Springerbookseries).BeforejoiningtheIITMadras,he served as Faculty Member at Loyola College, Madras University, and Hyderabad Central University. His areas of interest include classical analysis, nonlinear anal- ysisandfixed-pointtheory,fuzzysettheory,functionalequations,andmathematics education. He has published over 70 papers and served on the editorial board of the Journal of Analysis and the Journal of Differential Equations and Dynamical Systems. He received an award for his outstanding contributions to mathematical sciencesin2004andtheLifetimeAchievementAwardfromtheFIMin2016.Hehas givenvariousinvitedtalksatinternationalconferencesandcompletedbriefvisiting assignmentsinmanycountriessuchasCanada,CzechRepublic,Germany,Greece, Japan,SlovakRepublic,andtheUSA.HeisalsoLifeMemberoftheAssociationof MathematicsTeachersofIndia,FIM,IndianMathematicalSociety,andtheSociety forIndustrialandAppliedMathematics(SIAM). V. Antony Vijesh is Associate Professor at the Department of Mathematics at the IITIndore,India.HereceivedhisPh.D.inMathematicsfromtheIITMadras.His researchareasincludenumericalanalysis,operatortheory,anddifferentialequations. Hehaspublished25peer-reviewedpapersinvariousreputedjournalsinmathematics. HehassofarguidedfourstudentssuccessfullyfortheirPh.D.degree. ix x AbouttheEditors Balasubramaniam Jayaram is Professor at the Department of Mathematics at the IIT Hyderabad, India. His main areas of research interest are in approximate reasoningandhigh-dimensionaldataanalysis.Heisontheeditorialboardofmany journals, including IEEE Transactions on Fuzzy Systems, Fuzzy Sets and Systems andInternationalJournalofApproximateReasoning.Hehasco-authoredaresearch monograph on Fuzzy Implications and is author of more than 80 published papers inrefereedinternationaljournalsandconferences.HeisalsoexperiencedResearch FellowoftheAlexandervonHumboldtFoundation. Prakash Veeraraghavan is Associate Professor at the Department of Computer Science and Information Technology, La Trobe University, Melbourne, Australia. He received his Ph.D. in Mathematics from the IIT Chennai, India. He has more than 25 years of teaching, research, and industry experience. His research interest includesmathematicalmodeling,graphalgorithms,optimization,networkprotocols andsystemsecurity,andvariousareasofcybersecurity.Hehaspublishedmorethan 120papersinvarioustopinternationalconferencesandreputablejournals.Heheld apatentonsoftwareengineering.
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