TY - BOOK
ID - 32844
TI - Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets
AU - Smarandache, Florentin
AU - Zhang, Xiaohong
AU - Ali, Mumtaz
PB - MDPI - Multidisciplinary Digital Publishing Institute
PY - 2019
VL - 2
KW - generalized aggregation operators
KW - interval neutrosophic set (INS)
KW - multi-attribute decision making (MADM)
KW - Choquet integral
KW - fuzzy measure
KW - clustering algorithm
KW - neutrosophic association rule
KW - data mining
KW - neutrosophic sets
KW - big data
KW - analytic hierarchy process (AHP)
KW - SWOT analysis
KW - multi-criteria decision-making (MCDM) techniques
KW - neutrosophic set theory
KW - neutrosophic clustering
KW - image segmentation
KW - neutrosophic c-means clustering
KW - region growing
KW - dermoscopy
KW - skin cancer
KW - neutosophic extended triplet subgroups
KW - neutrosophic triplet cosets
KW - neutrosophic triplet normal subgroups
KW - neutrosophic triplet quotient groups
KW - shopping mall
KW - photovoltaic plan
KW - decision-making trial and evaluation laboratory (DEMATEL)
KW - interval-valued neutrosophic set
KW - extended ELECTRE III
KW - symmetry
KW - single valued neutrosophic set (SVNS)
KW - neutrosophic multiset (NM)
KW - single valued neutrosophic multiset (SVNM)
KW - cosine measure
KW - multiple attribute decision-making
KW - LNGPBM operator
KW - LNGWPBM operator
KW - Linguistic neutrosophic sets
KW - generalized partitioned Bonferroni mean operator
KW - multiple attribute group decision-making (MAGDM)
KW - pseudo-BCI algebra
KW - hesitant fuzzy set
KW - neutrosophic set
KW - filter
KW - action learning
KW - school administrator
KW - SVM
KW - neutrosophic classification
KW - neutrosophic set
KW - soft set
KW - totally dependent-neutrosophic set
KW - totally dependent-neutrosophic soft set
KW - generalized De Morgan algebra
KW - complex neutrosophic set
KW - complex neutrosophic graph
KW - fuzzy graph
KW - matrix representation
KW - neutrosophic triplet groups
KW - semigroup
KW - semi-neutrosophic triplets
KW - classical group of neutrosophic triplets
KW - S-semigroup of neutrosophic triplets
KW - pseudo primitive elements
KW - neutrosophic sets (NSs)
KW - interval neutrosophic numbers (INNs)
KW - exponential operational laws of interval neutrosophic numbers
KW - interval neutrosophic weighted exponential aggregation (INWEA) operator
KW - multiple attribute decision making (MADM)
KW - typhoon disaster evaluation
KW - simplified neutrosophic linguistic numbers
KW - cloud model
KW - Maclaurin symmetric mean
KW - multi-criteria decision-making
KW - neutrosophy
KW - DSmT
KW - decision-making algorithms
KW - robotic dexterous hands
KW - grasping configurations
KW - grasp type
KW - generalized group
KW - neutrosophic triplet set
KW - neutrosophic triplet group
KW - group
KW - neutrosophic cubic set
KW - neutrosophic cubic graphs
KW - applications of neutrosophic cubic graphs
KW - single-valued neutrosophic multisets
KW - medical diagnosis
KW - probabilistic rough sets over two universes
KW - three-way decisions
KW - similarity measures
KW - neutrosophic cubic set
KW - decision-making
KW - soft sets
KW - support soft sets
KW - interval valued neutrosophic support soft sets
KW - sustainable supplier selection problems (SSSPs)
KW - analytic network process
KW - interdependency of criteria
KW - TOPSIS
KW - neutrosophic set
KW - 2ingle-valued neutrosophic set
KW - Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS)
KW - integrated weight
KW - maximizing deviation
KW - multi-attribute decision-making (MADM)
KW - neutrosophic triplet set (NTS)
KW - partial metric spaces (PMS)
KW - fixed point theory (FPT)
KW - neutrosophic triplet
KW - quasi neutrosophic triplet loop
KW - quasi neutrosophic triplet group
KW - BE-algebra
KW - CI-algebra
KW - fuzzy time series
KW - forecasting
KW - two-factor fuzzy logical relationship
KW - multi-valued neutrosophic set
KW - Hamming distance
KW - neutrosophic set
KW - prioritized operator
KW - Muirhead mean
KW - multicriteria decision-making
KW - aggregation operators
KW - dual aggregation operators
KW - neutrosophic triplet group (NTG)
KW - NT-subgroup
KW - homomorphism theorem
KW - weak commutative neutrosophic triplet group
KW - neutrosophic rough set
KW - MGNRS
KW - dual domains
KW - inclusion relation
KW - decision-making
KW - neutro-monomorphism
KW - neutro-epimorphism
KW - neutro-automorphism
KW - fundamental neutro-homomorphism theorem
KW - first neutro-isomorphism theorem
KW - and second neutro-isomorphism theorem
KW - linear and non-linear neutrosophic number
KW - de-neutrosophication methods
KW - neutrosophic set
KW - bipolar fuzzy set
KW - neutrosophic bipolar fuzzy set
KW - neutrosophic bipolar fuzzy weighted averaging operator
KW - similarity measure
KW - algorithm
KW - multiple attribute decision making problem
KW - neutrosophic duplets
KW - semigroup
KW - neutrosophic triplet groups
KW - neutrosophic set
KW - fault diagnosis
KW - normal distribution
KW - defuzzification
KW - simplified neutrosophic weighted averaging operator
KW - (commutative) ideal
KW - generalized neutrosophic set
KW - generalized neutrosophic ideal
KW - commutative generalized neutrosophic ideal
KW - linguistic neutrosophic sets
KW - multi-criteria group decision-making
KW - power aggregation operator
KW - extended TOPSIS method
KW - probabilistic single-valued (interval) neutrosophic hesitant fuzzy set
KW - multi-attribute decision making
KW - aggregation operator
KW - quasigroup
KW - loop
KW - BCI-algebra
KW - Bol-Moufang
KW - quasi neutrosophic loops
KW - Fenyves identities
KW - G-metric
KW - neutrosophic G-metric
KW - neutrosophic sets
KW - clustering
KW - neutrosophic big data
KW - neutrosophic logic
KW - aggregation operator
KW - complement
KW - intersection
KW - membership
KW - neutrosophic soft set
KW - NC power dual MM operator (NCPDMM) operator
KW - NCPMM operator
KW - MADM
KW - MM operator
KW - Neutrosophic cubic sets
KW - PA operator
KW - interval neutrosophic sets
KW - Bonferroni mean
KW - power operator
KW - multi-attribute decision making (MADM)
KW - multiple attribute group decision making (MAGDM)
KW - 2-tuple linguistic neutrosophic sets (2TLNSs)
KW - TODIM model
KW - 2TLNNs TODIM method
KW - construction project
KW - MCGDM problems
KW - triangular fuzzy neutrosophic sets (TFNSs)
KW - VIKOR model
KW - TFNNs VIKOR method
KW - potential evaluation
KW - emerging technology commercialization
KW - Q-linguistic neutrosophic variable set
KW - vector similarity measure
KW - cosine measure
KW - Dice measure
KW - Jaccard measure
KW - decision making
KW - inclusion relation
KW - neutrosophic rough set
KW - multi-attribute group decision-making (MAGDM)
KW - multigranulation neutrosophic rough set (MNRS)
KW - two universes
KW - single valued trapezoidal neutrosophic number
KW - multi-criteria group decision making
KW - possibility degree
KW - power aggregation operators
KW - LA-semihypergroups
KW - neutrosophic triplet set
KW - neutro-homomorphism
KW - algorithm
KW - decision making
KW - expert set
KW - generalized neutrosophic set
KW - neutrosophic sets
KW - Q-neutrosophic
KW - soft sets
KW - simplified neutrosophic sets (SNSs)
KW - interval number
KW - dependent degree
KW - multi-criteria group decision-making (MCGDM)
KW - computability
KW - oracle Turing machines
KW - neutrosophic sets
KW - neutrosophic logic
KW - recursive enumerability
KW - oracle computation
KW - criterion functions
KW - neutrosophic computation
KW - neutrosophic logic
KW - quantum computation
KW - computation
KW - logic
KW - n/a
SN - 9783038974758
AB - Neutrosophy (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.
ER -