Soft Computing Recent Advances and Applications in Engineering and Mathematical Sciences

247 Pages·2023·10.329 MB·English

by  Pradip Debnath, Oscar Castillo, Poom Kumam

Soft Computing
Thisbookexploressoftcomputingtechniquesinasystematicmannerstartingfrom
theirinitialstagetorecentdevelopmentsinthisarea.Thebookpresentsasurveyof
theexistingknowledgeandthecurrentstate-of-the-artdevelopmentthroughcutting-
edgeoriginalnewcontributionsfromtheresearchers. SoftComputing:RecentAd-
vancesandApplicationsinEngineeringandMathematicalSciencespresentsasur-
veyoftheexistingknowledgeandthecurrentstate-of-the-artdevelopmentthrough
cutting-edgeoriginalnewcontributionsfromtheresearchers.
As suggested by the title, this book particularly focuses on the recent advances
andapplicationsofsoftcomputingtechniquesinengineeringandmathematicalsci-
ences. Chapter 1 describes the contribution of soft computing techniques towards
a new paradigm shift. The subsequent chapters present a systematic application of
fuzzylogicinmathematicalsciencesanddecision-making.Newresearchdirections
are also provided at the end of each chapter. The application of soft computing in
healthsciencesandinthemodelingofepidemicsincludingtheeffectsofvaccination
arealsoexamined.Sustainabilityofgreenproductdevelopment,optimumdesignof
3Dsteelframe,digitalizationinvestmentanalysisinthemaritimeindustry,forecast-
ing return rates of individual pension funds are among some of the topics where
engineering and industrial applications of soft computing have been studied in the
book.Thereadersofthisbookwillrequireminimumprerequisitesofundergraduate
studiesincomputationandmathematics.
Thisbookismeantforgraduatestudents,faculty,andresearcherswhoareapply-
ingsoftcomputinginengineeringandmathematics.Newresearchdirectionsarealso
providedattheendofeachchapter.
Edge AI in Future Computing
SeriesEditors:
ArunKumarSangaiah
SCOPE,VITUniversity,TamilNadu
MamtaMittal
G.B.PantGovernmentEngineeringCollege,Okhla,NewDelhi
SoftComputingTechniquesinEngineering,Health,Mathematical
andSocialSciences
PradipDebnathandS.A.Mohiuddine
MachineLearningforEdgeComputing:Frameworks,Patterns
andBestPractices
AmitojSingh,VinayKukreja,andTaghiJavdaniGandomani
InternetofThings:FrameworksforEnablingandEmergingTechnologies
BharatBhushan,SudhirKumarSharma,BhuvanUnhelkar,MuhammadFazalIjaz,
andLamiaKarim
SoftComputing:RecentAdvancesandApplicationsinEngineeringand
MathematicalSciences
PradipDebnath,OscarCastillo,andPoomKumam
Formoreinformationaboutthisseries,pleasevisit:
https://www.routledge.com/Edge-AI-in-Future-Computing/book-series/EAIFC
Soft Computing
Recent Advances and Applications in Engineering
and Mathematical Sciences
Editedby
Pradip Debnath
Department of Applied Science and Humanities,
Assam University Silchar, India
Oscar Castillo
Tijuana Institute of Technology, Mexico
Poom Kumam
Department of Mathematics, King Mongkut’s University of
Technology Thonburi, Thailand
MATLAB®isatrademarkofTheMathWorks,Inc.andisusedwithpermission.TheMathWorksdoesnot
warranttheaccuracyofthetextorexercisesinthisbook.Thisbook’suseordiscussionofMATLAB®
software or related products does not constitute endorsement or sponsorship by The MathWorks of a
particularpedagogicalapproachorparticularuseoftheMATLAB®software.
Firsteditionpublished2023
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ISBN:978-1-032-31831-8(hbk)
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DOI:10.1201/9781003312017
TypesetinTimes
bycodeMantra
Contents
Preface......................................................................................................................vii
Editors.......................................................................................................................ix
Contributor................................................................................................................xi
Chapter1 AStudyonApproximateFixedPointPropertyin
IntuitionisticFuzzyn-NormedLinearSpaces.................................1
PradipDebnath
Chapter2 SequentialExtendedParametricandSequentialExtended
Fuzzyb-MetricswithanApplicationinIntegralEquations..........15
MarijaV.Paunovic´,SamiraHadiBonab,VahidParvaneh,
andFarhanGolkarmanesh
Chapter3 AnalyticalSequelofRational-TypeFuzzyContractionin
Fuzzyb-MetricSpaces..................................................................29
NabanitaKonwar
Chapter4 Weak-WardowskiContractionsinGeneralized
Triple-ControlledModularMetricSpacesandGeneralized
Triple-ControlledFuzzyMetricSpaces........................................45
MarijaV.Paunovic´,SamiraHadiBonab,andVahidParvaneh
Chapter5 SomeFirst-Order-LikeMethodsforSolvingSystemsof
NonlinearEquations......................................................................67
SaniAji,PoomKumam,andWiyadaKumam
Chapter6 CubicInverseSoftSet...................................................................87
SrinivasanVijayabalajiandKaliyaperumalPunniyamoorthy
v
vi Contents
Chapter7 InverseSoft-RoughMatrices.........................................................97
SrinivasanVijayabalaji
Chapter8 NewObservationsonLacunaryI-InvariantConvergence
forSequencesinFuzzyConeNormedSpaces............................107
O¨merKisi,MehmetGu¨rdal,andErhanGu¨ler
Chapter9 SomeConvergentSequenceSpacesofFuzzyStar-Shaped
Numbers......................................................................................125
ErhanGu¨lerandO¨merKisi
Chapter10 DigitalizationInvestmentAnalysisinMaritime
IndustrywithInterval−ValuedPythagoreanFuzzyPresent
WorthAnalysis............................................................................141
EdaBoltu¨rk
Chapter11 CompositeMappingonHesitantFuzzySoftClasses..................153
ManashJyotiBorahandBipanHazarika
Chapter12 UlamStabilityofMixedTypeFunctionalEquation
inNon-ArchimedeanIFN-Space.................................................167
K.Tamilvanan,S.A.Mohiuddine,andN.Revathi
Chapter13 OptimumDesignof3DSteelFrameswithComposite
SlabsUsingAdaptiveHarmonySearchMethod.........................179
MehmetPolatSaka,IbrahimAydogdu,RefikBurakTaymus,
andZongWooGeem
Chapter14 FosteringSustainabilityinOpenInnovation,toSelect
theRightPartneronGreenProductDevelopment......................211
RicardoSantos,PolinhoKatina,Jose´ Soares,
AnouarHallioui,JoaoMatias,andFernandaMendes
Index.......................................................................................................................233
Preface
Thisbookcollectschaptersfromeminentcontemporaryresearchersacrossthecoun-
triesworkingonthetheoryandapplicationsofsoftcomputingtechniques.Thebook
presents a survey of the existing knowledge and also current state of the art devel-
opment through cutting-edge original new contributions from the researchers. As
suggestedbythetitle,thisbookparticularlyfocusesontherecentadvancesandap-
plications of soft computing techniques in engineering and mathematical sciences.
The first Chapter presents a study on approximate fixed point property in a gen-
eralized fuzzy normed space. Chapters 2–4 consist of new fixed point results and
thier applications in different types of metric spaces such as fuzzy b-metric spaces
and controlled fuzzy metric spaces. Chapter 5 describes new first order-like meth-
ods for solving nonlinear equations. Cubic inverse soft sets have been studied in
Chapter 6, whereas inverse soft-rough matrices are introduced in Chapter 7. Some
new convergence results concerning fuzzy normed spaces and fuzzy numbers have
beendescribedinChapters8and9,respectively.Digitalizationinvestmentanalysis
in maritime industry with picture fuzzy sets are studied in Chapter 10. Chapter 11
containsastudyoncompositemappingonhesitantfuzzysoftclasses.InChapter12
we have Ulam stability of mixed type functional equation in fuzzy normed space.
An interesting investigation on optimum design of 3D steel frames with composite
slabshasbeenpresentedinChapter13.Finally,inChapter14,wediscussfostering
sustainabilityinopeninnovationtoselecttherightpartnerongreenproductdevel-
opment.
Thisbookismeantforgraduatestudents,facultiesandresearcherswillingtolearn
and apply fuzziness and soft computing in engineering and mathematics. New re-
searchdirectionshavebeenpresented withinthechapterstoenabletheresearchers
to further advance their research. The readers of this book will require minimum
pre-requisitesofundergraduatestudiesincomputationandmathematics.
vii

Editors
Pradip Debnath is an Assistant Professor (in Mathematics) at the Department of
Applied Science and Humanities, Assam University, Silchar (a central university),
India.HereceivedhisPh.D.inMathematicsfromtheNationalInstituteofTechnol-
ogySilchar,India.Hisresearchinterestsincludefixedpointtheory,nonlinearfunc-
tional analysis, soft computing and mathematical statistics. He has published more
than 60 papers in various journals of international repute and is reviewer for more
than40internationaljournals.Dr.Debnathisalsoareviewerfor“MathematicalRe-
views” published by the American Mathematical Society. He is the Lead Editor of
the books “Metric Fixed Point Theory - Applications in Science, Engineering and
BehaviouralSciences”(2021,SpringerNature),“SoftComputingTechniquesinEn-
gineering,Health,MathematicalandSocialSciences”(2021,CRCPress)and“Fixed
Point Theory and Fractional Calculus: Recent Advances and Applications” (2022,
Springer Nature). He has successfully guided Ph.D. students in the areas of fuzzy
logic,softcomputingandfixedpointtheory.HehasrecentlycompletedaBasicSci-
ence Research Project on fixed point theory funded by the UGC, the Government
of India. Having been an academic gold medalist during his post-graduation stud-
iesfromAssamUniversity,Silchar,Dr.Debnathhasqualifiedseveralnational-level
examinationsinmathematicsinIndia.
Oscar Castillo holds the Doctor in Science degree (Doctor Habilitatus) in Com-
puter Science from the Polish Academy of Sciences (with the Dissertation “Soft
Computing and Fractal Theory for Intelligent Manufacturing”). He is a Professor
ofComputerScienceintheGraduateDivision,TijuanaInstituteofTechnology,Ti-
juana,Mexico.Inaddition,heisservingasResearchDirectorofComputerScience
andheadoftheresearchgrouponHybridFuzzyIntelligentSystems.Currently,heis
PresidentofHAFSA(HispanicAmericanFuzzySystemsAssociation)andPastPres-
identofIFSA(InternationalFuzzySystemsAssociation).Prof.CastilloisalsoChair
ofthe MexicanChapter oftheComputational IntelligenceSociety(IEEE). Healso
belongstotheTechnicalCommitteeonFuzzySystemsofIEEEandtotheTaskForce
on“ExtensionstoType-1FuzzySystems”.HeisalsoamemberofNAFIPS,IFSA
andIEEE.HebelongstotheMexicanResearchSystem(SNILevel3).Hisresearch
interestsareinType-2FuzzyLogic,FuzzyControl,Neuro-FuzzyandGenetic-Fuzzy
hybridapproaches.Hehaspublishedover300journalpapers,10authoredbooks,40
editedbooks,200papersinconferenceproceedings,andmorethan300chaptersin
editedbooks,intotal910publicationsaccordingtoScopus(Hindex=63,andmore
than1050publicationsaccordingtoResearchGate(Hindex=74inGoogleScholar).
He has been Guest Editor of several successful Special Issues in the past, like in
the following journals: Applied Soft Computing, Intelligent Systems, Information
Sciences, Non-Linear Studies, Fuzzy Sets and Systems, JAMRIS and Engineering
Letters. He is currently Associate Editor of the Information Sciences Journal, Ap-
plied Soft Computing Journal, Engineering Applications of Artificial Intelligence,
ix