LEADER 11636nam 2202977z- 450 001 9910346845803321 005 20231214133700.0 035 $a(CKB)4920000000095182 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/40632 035 $a(EXLCZ)994920000000095182 100 $a20202102d2019 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAlgebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets$hVolume 1 210 $cMDPI - Multidisciplinary Digital Publishing Institute$d2019 215 $a1 electronic resource (478 pages) 311 $a3-03897-384-X 330 $aNeutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor .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. 610 $asimilarity measure 610 $ageneralized partitioned Bonferroni mean operator 610 $anormal distribution 610 $aschool administrator 610 $acomplex neutrosophic set 610 $aexpert set 610 $aneutrosophic classification 610 $amulti-attribute decision-making (MADM) 610 $amulti-criteria decision-making (MCDM) techniques 610 $acriterion functions 610 $amatrix representation 610 $apossibility degree 610 $aquantum computation 610 $atyphoon disaster evaluation 610 $aNT-subgroup 610 $ageneralized neutrosophic ideal 610 $athree-way decisions 610 $adecision-making 610 $aG-metric 610 $amultiple attribute group decision-making (MAGDM) 610 $aSVM 610 $asemi-neutrosophic triplets 610 $aLA-semihypergroups 610 $apower operator 610 $afuzzy graph 610 $aneutrosophic cubic graphs 610 $aLNGPBM operator 610 $aneutrosophic c-means clustering 610 $a(commutative) ideal 610 $aregion growing 610 $aclustering algorithm 610 $aNeutrosophic cubic sets 610 $aforecasting 610 $avector similarity measure 610 $atotally dependent-neutrosophic soft set 610 $aFenyves identities 610 $aTODIM model 610 $asimilarity measures 610 $aCI-algebra 610 $aDice measure 610 $ade-neutrosophication methods 610 $aDSmT 610 $asemigroup 610 $aVIKOR model 610 $amultigranulation neutrosophic rough set (MNRS) 610 $asimplified neutrosophic linguistic numbers 610 $aTechnique for Order Preference by Similarity to an Ideal Solution (TOPSIS) 610 $amulti-criteria group decision making 610 $amulti-attribute group decision-making (MAGDM) 610 $aexponential operational laws of interval neutrosophic numbers 610 $asimplified neutrosophic weighted averaging operator 610 $aneutro-epimorphism 610 $aChoquet integral 610 $afixed point theory (FPT) 610 $acomputability 610 $aneutrosophic triplet set 610 $ainterval-valued neutrosophic set 610 $asimplified neutrosophic sets (SNSs) 610 $atotally dependent-neutrosophic set 610 $aMaclaurin symmetric mean 610 $arecursive enumerability 610 $aloop 610 $aphotovoltaic plan 610 $aintersection 610 $aneutrosophic bipolar fuzzy set 610 $abig data 610 $ainclusion relation 610 $adual aggregation operators 610 $aHamming distance 610 $aneutro-automorphism 610 $aneutrosophic set theory 610 $amultiple attribute decision-making 610 $amulticriteria decision-making 610 $apseudo primitive elements 610 $amedical diagnosis 610 $aneutrosophic G-metric 610 $abipolar fuzzy set 610 $aNC power dual MM operator (NCPDMM) operator 610 $aneutrosophic sets (NSs) 610 $aemerging technology commercialization 610 $aneutrosophic triplet groups 610 $aprobabilistic rough sets over two universes 610 $aneutrosophic triplet set (NTS) 610 $aneutrosophic triplet cosets 610 $aMM operator 610 $aTOPSIS 610 $acloud model 610 $aextended ELECTRE III 610 $aextended TOPSIS method 610 $a2ingle-valued neutrosophic set 610 $adual domains 610 $aprobabilistic single-valued (interval) neutrosophic hesitant fuzzy set 610 $aJaccard measure 610 $adata mining 610 $aBE-algebra 610 $aneutrosophic soft set 610 $aaggregation operators 610 $aimage segmentation 610 $amultiple attribute decision making (MADM) 610 $aneutrosophic duplets 610 $afundamental neutro-homomorphism theorem 610 $aneutro-homomorphism 610 $apower aggregation operator 610 $alinear and non-linear neutrosophic number 610 $amulti-attribute decision making 610 $afirst neutro-isomorphism theorem 610 $aMCGDM problems 610 $aneutrosophic bipolar fuzzy weighted averaging operator 610 $aBonferroni mean 610 $aanalytic hierarchy process (AHP) 610 $aquasigroup 610 $aaction learning 610 $aweak commutative neutrosophic triplet group 610 $ageneralized aggregation operators 610 $asingle valued neutrosophic multiset (SVNM) 610 $asustainable supplier selection problems (SSSPs) 610 $aLNGWPBM operator 610 $askin cancer 610 $aoracle computation 610 $afault diagnosis 610 $ainterval valued neutrosophic support soft sets 610 $aneutrosophic triplet normal subgroups 610 $asoft set 610 $amulti-criteria decision-making 610 $aneutrosophic triplet 610 $ageneralized group 610 $aneutrosophic multiset (NM) 610 $atwo universes 610 $aalgorithm 610 $amulti-attribute decision making (MADM) 610 $aPA operator 610 $aBCI-algebra 610 $aneutrosophic triplet group (NTG) 610 $asingle valued trapezoidal neutrosophic number 610 $aquasi neutrosophic triplet loop 610 $aneutrosophy 610 $acomplex neutrosophic graph 610 $aS-semigroup of neutrosophic triplets 610 $aand second neutro-isomorphism theorem 610 $aMADM 610 $adermoscopy 610 $alinguistic neutrosophic sets 610 $adefuzzification 610 $aconstruction project 610 $apotential evaluation 610 $aneutrosophic big data 610 $adecision-making algorithms 610 $aneutosophic extended triplet subgroups 610 $aapplications of neutrosophic cubic graphs 610 $afuzzy time series 610 $aTFNNs VIKOR method 610 $atwo-factor fuzzy logical relationship 610 $aoracle Turing machines 610 $agrasp type 610 $ainterval neutrosophic sets 610 $amulti-criteria group decision-making 610 $ainterval neutrosophic weighted exponential aggregation (INWEA) operator 610 $apower aggregation operators 610 $aneutrosophic triplet group 610 $aMGNRS 610 $a2-tuple linguistic neutrosophic sets (2TLNSs) 610 $acomputation 610 $afilter 610 $amulti-valued neutrosophic set 610 $aintegrated weight 610 $aBol-Moufang 610 $aprioritized operator 610 $ainterval number 610 $alogic 610 $apseudo-BCI algebra 610 $ainterval neutrosophic set (INS) 610 $aneutrosophic rough set 610 $asoft sets 610 $aQ-neutrosophic 610 $aLinguistic neutrosophic sets 610 $afuzzy measure 610 $ahomomorphism theorem 610 $acommutative generalized neutrosophic ideal 610 $aneutrosophic association rule 610 $ashopping mall 610 $adependent degree 610 $aQ-linguistic neutrosophic variable set 610 $aquasi neutrosophic loops 610 $asymmetry 610 $aneutrosophic sets 610 $aneutrosophic logic 610 $aneutrosophic cubic set 610 $acomplement 610 $arobotic dexterous hands 610 $aneutro-monomorphism 610 $agroup 610 $aanalytic network process 610 $aMuirhead mean 610 $amaximizing deviation 610 $aclassical group of neutrosophic triplets 610 $aneutrosophic triplet quotient groups 610 $ageneralized neutrosophic set 610 $amulti-criteria group decision-making (MCGDM) 610 $asupport soft sets 610 $adecision making 610 $ageneralized De Morgan algebra 610 $amultiple attribute group decision making (MAGDM) 610 $asingle-valued neutrosophic multisets 610 $a2TLNNs TODIM method 610 $amembership 610 $agrasping configurations 610 $asingle valued neutrosophic set (SVNS) 610 $amultiple attribute decision making problem 610 $aSWOT analysis 610 $aneutrosophic clustering 610 $ahesitant fuzzy set 610 $ainterval neutrosophic numbers (INNs) 610 $aquasi neutrosophic triplet group 610 $atriangular fuzzy neutrosophic sets (TFNSs) 610 $ainterdependency of criteria 610 $aaggregation operator 610 $acosine measure 610 $aneutrosophic set 610 $aneutrosophic computation 610 $adecision-making trial and evaluation laboratory (DEMATEL) 610 $apartial metric spaces (PMS) 610 $aNCPMM operator 610 $aclustering 700 $aAli$b Muhammad Mumtaz$01431970 702 $aSmarandache$b Florentin$4auth 702 $aZhang$b Xiaohong$4auth 906 $aBOOK 912 $a9910346845803321 996 $aAlgebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets$93575046 997 $aUNINA