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Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets
ISBN: 9783038974758 ;ISBN: 3038974757 ;DOI: 10.3390/books978-3-03897-476-5
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Title:
Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets
Author:
Ali, Mumtaz
;
Smarandache, Florentin
;
Zhang, Xiaohong
Subjects:
(commutative) ideal
;
2-tuple linguistic neutrosophic sets (2TLNSs)
;
2ingle-valued neutrosophic set
;
2TLNNs TODIM method
;
action learning
;
aggregation operator
;
aggregation operators
;
algorithm
;
analytic hierarchy process (AHP)
;
analytic network process
;
and second neutro-isomorphism theorem
;
applications of neutrosophic cubic graphs
;
BCI-algebra
;
BE-algebra
;
big data
;
bipolar fuzzy set
;
Bol-Moufang
;
Bonferroni mean
;
Choquet integral
;
CI-algebra
;
classical group of neutrosophic triplets
;
cloud model
;
clustering
;
clustering algorithm
;
commutative generalized neutrosophic ideal
;
complement
;
complex neutrosophic graph
;
complex neutrosophic set
;
computability
;
computation
;
construction project
;
cosine measure
;
criterion functions
;
data mining
;
de-neutrosophication methods
;
decision making
;
decision-making algorithms
;
decision-making trial and evaluation laboratory (DEMATEL)
;
defuzzification
;
dependent degree
;
dermoscopy
;
Dice measure
;
DSmT
;
dual aggregation operators
;
dual domains
;
emerging technology commercialization
;
expert set
;
exponential operational laws of interval neutrosophic numbers
;
extended ELECTRE III
;
extended TOPSIS method
;
fault diagnosis
;
Fenyves identities
;
filter
;
first neutro-isomorphism theorem
;
fixed point theory (FPT)
;
forecasting
;
fundamental neutro-homomorphism theorem
;
fuzzy graph
;
fuzzy measure
;
fuzzy time series
;
G-metric
;
generalized aggregation operators
;
generalized De Morgan algebra
;
generalized group
;
generalized neutrosophic ideal
;
generalized neutrosophic set
;
generalized partitioned Bonferroni mean operator
;
grasp type
;
grasping configurations
;
group
;
Hamming distance
;
hesitant fuzzy set
;
homomorphism theorem
;
image segmentation
;
inclusion relation
;
integrated weight
;
interdependency of criteria
;
intersection
;
interval neutrosophic numbers (INNs)
;
interval neutrosophic set (INS)
;
interval neutrosophic sets
;
interval neutrosophic weighted exponential aggregation (INWEA) operator
;
interval number
;
interval valued neutrosophic support soft sets
;
interval-valued neutrosophic set
;
Jaccard measure
;
LA-semihypergroups
;
linear and non-linear neutrosophic number
;
linguistic neutrosophic sets
;
LNGPBM operator
;
LNGWPBM operator
;
logic
;
loop
;
Maclaurin symmetric mean
;
MADM
;
matrix representation
;
maximizing deviation
;
MCGDM problems
;
medical diagnosis
;
membership
;
MGNRS
;
MM operator
;
Muirhead mean
;
multi-attribute decision making
;
multi-attribute decision-making (MADM)
;
multi-attribute group decision-making (MAGDM)
;
multi-criteria decision-making
;
multi-criteria decision-making (MCDM) techniques
;
multi-criteria group decision making
;
multi-criteria group decision-making (MCGDM)
;
multi-valued neutrosophic set
;
multicriteria decision-making
;
multigranulation neutrosophic rough set (MNRS)
;
multiple attribute decision making (MADM)
;
multiple attribute decision making problem
;
multiple attribute decision-making
;
multiple attribute group decision-making (MAGDM)
;
n/a
;
NC power dual MM operator (NCPDMM) operator
;
NCPMM operator
;
neutosophic extended triplet subgroups
;
neutro-automorphism
;
neutro-epimorphism
;
neutro-homomorphism
;
neutro-monomorphism
;
neutrosophic association rule
;
neutrosophic big data
;
neutrosophic bipolar fuzzy set
;
neutrosophic bipolar fuzzy weighted averaging operator
;
neutrosophic c-means clustering
;
neutrosophic classification
;
neutrosophic clustering
;
neutrosophic computation
;
neutrosophic cubic graphs
;
neutrosophic cubic set
;
Neutrosophic cubic sets
;
neutrosophic duplets
;
neutrosophic G-metric
;
neutrosophic logic
;
neutrosophic multiset (NM)
;
neutrosophic rough set
;
neutrosophic set
;
neutrosophic set theory
;
neutrosophic sets
;
neutrosophic sets (NSs)
;
neutrosophic soft set
;
neutrosophic triplet
;
neutrosophic triplet cosets
;
neutrosophic triplet group
;
neutrosophic triplet group (NTG)
;
neutrosophic triplet groups
;
neutrosophic triplet normal subgroups
;
neutrosophic triplet quotient groups
;
neutrosophic triplet set
;
neutrosophic triplet set (NTS)
;
neutrosophy
;
normal distribution
;
NT-subgroup
;
oracle computation
;
oracle Turing machines
;
PA operator
;
partial metric spaces (PMS)
;
photovoltaic plan
;
possibility degree
;
potential evaluation
;
power aggregation operator
;
power aggregation operators
;
power operator
;
prioritized operator
;
probabilistic rough sets over two universes
;
probabilistic single-valued (interval) neutrosophic hesitant fuzzy set
;
pseudo primitive elements
;
pseudo-BCI algebra
;
Q-linguistic neutrosophic variable set
;
Q-neutrosophic
;
quantum computation
;
quasi neutrosophic loops
;
quasi neutrosophic triplet group
;
quasi neutrosophic triplet loop
;
quasigroup
;
recursive enumerability
;
region growing
;
robotic dexterous hands
;
S-semigroup of neutrosophic triplets
;
school administrator
;
semi-neutrosophic triplets
;
semigroup
;
shopping mall
;
similarity measure
;
similarity measures
;
simplified neutrosophic linguistic numbers
;
simplified neutrosophic sets (SNSs)
;
simplified neutrosophic weighted averaging operator
;
single valued neutrosophic multiset (SVNM)
;
single valued neutrosophic set (SVNS)
;
single valued trapezoidal neutrosophic number
;
single-valued neutrosophic multisets
;
skin cancer
;
soft set
;
soft sets
;
support soft sets
;
sustainable supplier selection problems (SSSPs)
;
SVM
;
SWOT analysis
;
symmetry
;
Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS)
;
TFNNs VIKOR method
;
three-way decisions
;
TODIM model
;
TOPSIS
;
totally dependent-neutrosophic set
;
totally dependent-neutrosophic soft set
;
triangular fuzzy neutrosophic sets (TFNSs)
;
two universes
;
two-factor fuzzy logical relationship
;
typhoon disaster evaluation
;
vector similarity measure
;
VIKOR model
;
weak commutative neutrosophic triplet group
Description:
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.
Publisher:
MDPI - Multidisciplinary Digital Publishing Institute
Creation Date:
2019
Format:
450
Language:
English
Identifier:
ISBN: 9783038974758
ISBN: 3038974757
DOI: 10.3390/books978-3-03897-476-5
Source:
DOAB: Directory of Open Access Books
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