11636nam 2202977z- 450 991034684580332120231214133700.0(CKB)4920000000095182(oapen)https://directory.doabooks.org/handle/20.500.12854/40632(EXLCZ)99492000000009518220202102d2019 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierAlgebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic MultisetsVolume 1MDPI - Multidisciplinary Digital Publishing Institute20191 electronic resource (478 pages)3-03897-384-X Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (<A>, <neutA>, <antiA>), where <A> is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, <antiA> is the opposite of <A>, while <neutA> is the neutral (or indeterminate) between them, i.e., neither <A> nor <antiA>.Based on neutrosophy, the neutrosophic triplets were founded, which have a similar form (x, neut(x), anti(x)), that satisfy several axioms, for each element x in a given set.This collective book presents original research papers by many neutrosophic researchers from around the world, that report on the state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets and their algebraic structures – that have been defined recently in 2016 but have gained interest from world researchers. Connections between classical algebraic structures and neutrosophic triplet / duplet / multiset structures are also studied. And numerous neutrosophic applications in various fields, such as: multi-criteria decision making, image segmentation, medical diagnosis, fault diagnosis, clustering data, neutrosophic probability, human resource management, strategic planning, forecasting model, multi-granulation, supplier selection problems, typhoon disaster evaluation, skin lesson detection, mining algorithm for big data analysis, etc.similarity measuregeneralized partitioned Bonferroni mean operatornormal distributionschool administratorcomplex neutrosophic setexpert setneutrosophic classificationmulti-attribute decision-making (MADM)multi-criteria decision-making (MCDM) techniquescriterion functionsmatrix representationpossibility degreequantum computationtyphoon disaster evaluationNT-subgroupgeneralized neutrosophic idealthree-way decisionsdecision-makingG-metricmultiple attribute group decision-making (MAGDM)SVMsemi-neutrosophic tripletsLA-semihypergroupspower operatorfuzzy graphneutrosophic cubic graphsLNGPBM operatorneutrosophic c-means clustering(commutative) idealregion growingclustering algorithmNeutrosophic cubic setsforecastingvector similarity measuretotally dependent-neutrosophic soft setFenyves identitiesTODIM modelsimilarity measuresCI-algebraDice measurede-neutrosophication methodsDSmTsemigroupVIKOR modelmultigranulation neutrosophic rough set (MNRS)simplified neutrosophic linguistic numbersTechnique for Order Preference by Similarity to an Ideal Solution (TOPSIS)multi-criteria group decision makingmulti-attribute group decision-making (MAGDM)exponential operational laws of interval neutrosophic numberssimplified neutrosophic weighted averaging operatorneutro-epimorphismChoquet integralfixed point theory (FPT)computabilityneutrosophic triplet setinterval-valued neutrosophic setsimplified neutrosophic sets (SNSs)totally dependent-neutrosophic setMaclaurin symmetric meanrecursive enumerabilityloopphotovoltaic planintersectionneutrosophic bipolar fuzzy setbig datainclusion relationdual aggregation operatorsHamming distanceneutro-automorphismneutrosophic set theorymultiple attribute decision-makingmulticriteria decision-makingpseudo primitive elementsmedical diagnosisneutrosophic G-metricbipolar fuzzy setNC power dual MM operator (NCPDMM) operatorneutrosophic sets (NSs)emerging technology commercializationneutrosophic triplet groupsprobabilistic rough sets over two universesneutrosophic triplet set (NTS)neutrosophic triplet cosetsMM operatorTOPSIScloud modelextended ELECTRE IIIextended TOPSIS method2ingle-valued neutrosophic setdual domainsprobabilistic single-valued (interval) neutrosophic hesitant fuzzy setJaccard measuredata miningBE-algebraneutrosophic soft setaggregation operatorsimage segmentationmultiple attribute decision making (MADM)neutrosophic dupletsfundamental neutro-homomorphism theoremneutro-homomorphismpower aggregation operatorlinear and non-linear neutrosophic numbermulti-attribute decision makingfirst neutro-isomorphism theoremMCGDM problemsneutrosophic bipolar fuzzy weighted averaging operatorBonferroni meananalytic hierarchy process (AHP)quasigroupaction learningweak commutative neutrosophic triplet groupgeneralized aggregation operatorssingle valued neutrosophic multiset (SVNM)sustainable supplier selection problems (SSSPs)LNGWPBM operatorskin canceroracle computationfault diagnosisinterval valued neutrosophic support soft setsneutrosophic triplet normal subgroupssoft setmulti-criteria decision-makingneutrosophic tripletgeneralized groupneutrosophic multiset (NM)two universesalgorithmmulti-attribute decision making (MADM)PA operatorBCI-algebraneutrosophic triplet group (NTG)single valued trapezoidal neutrosophic numberquasi neutrosophic triplet loopneutrosophycomplex neutrosophic graphS-semigroup of neutrosophic tripletsand second neutro-isomorphism theoremMADMdermoscopylinguistic neutrosophic setsdefuzzificationconstruction projectpotential evaluationneutrosophic big datadecision-making algorithmsneutosophic extended triplet subgroupsapplications of neutrosophic cubic graphsfuzzy time seriesTFNNs VIKOR methodtwo-factor fuzzy logical relationshiporacle Turing machinesgrasp typeinterval neutrosophic setsmulti-criteria group decision-makinginterval neutrosophic weighted exponential aggregation (INWEA) operatorpower aggregation operatorsneutrosophic triplet groupMGNRS2-tuple linguistic neutrosophic sets (2TLNSs)computationfiltermulti-valued neutrosophic setintegrated weightBol-Moufangprioritized operatorinterval numberlogicpseudo-BCI algebrainterval neutrosophic set (INS)neutrosophic rough setsoft setsQ-neutrosophicLinguistic neutrosophic setsfuzzy measurehomomorphism theoremcommutative generalized neutrosophic idealneutrosophic association ruleshopping malldependent degreeQ-linguistic neutrosophic variable setquasi neutrosophic loopssymmetryneutrosophic setsneutrosophic logicneutrosophic cubic setcomplementrobotic dexterous handsneutro-monomorphismgroupanalytic network processMuirhead meanmaximizing deviationclassical group of neutrosophic tripletsneutrosophic triplet quotient groupsgeneralized neutrosophic setmulti-criteria group decision-making (MCGDM)support soft setsdecision makinggeneralized De Morgan algebramultiple attribute group decision making (MAGDM)single-valued neutrosophic multisets2TLNNs TODIM methodmembershipgrasping configurationssingle valued neutrosophic set (SVNS)multiple attribute decision making problemSWOT analysisneutrosophic clusteringhesitant fuzzy setinterval neutrosophic numbers (INNs)quasi neutrosophic triplet grouptriangular fuzzy neutrosophic sets (TFNSs)interdependency of criteriaaggregation operatorcosine measureneutrosophic setneutrosophic computationdecision-making trial and evaluation laboratory (DEMATEL)partial metric spaces (PMS)NCPMM operatorclusteringAli Muhammad Mumtaz1431970Smarandache FlorentinauthZhang XiaohongauthBOOK9910346845803321Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets3575046UNINA