Table Of ContentForum 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.
