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Since the launch, in 1965, of the key notion of a fuzzy subset by Lotfi A. Zadeh, this concept has succeeded in growing interest and development. Nowadays, it is undoubtedly one of the most powerful and appealing branches of mathematics. Its range of applications is wide and multidisciplinary, starting from computer sciences and artificial intelligence, but also touching on a vast set of scientific disciplines (physics, engineering, medicine, economics, social choice, etc.).The present Special Issue is devoted to introducing new trends on this theory, from an interdisciplinary point of view, and looking for a wide coverage of topics related to fuzzy set and systems.
Fuzzy sets  Fuzzy logic  Labels  Aggregation operators  Functional equations  Ordered structures  Numerical representability  General topology  Social choice  Decision making  Image processing  Type2 fuzzy sets  Extensions of fuzzy sets  Fuzzy relations  Copulas
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Information management is a common paradigm in modern decisionmaking. A wide range of decisionmaking techniques have been proposed in the literature to model complex business and engineering processes. In this Special Issue, 16 selected and peerreviewed original research articles contribute to business information management in various current realworld problems by proposing crisp or uncertain multiplecriteria decisionmaking (MCDM) models and techniques, mostly including multiattribute decisionmaking (MADM) approaches, in addition to a single paper proposing an interactive multiobjective decisionmaking (MODM) approach. Particular attention is devoted to information aggregation operators; 65% of papers dealt with this item. The topics of this Special Issue gained attention in Europe and Asia. A total of 48 authors from seven countries contributed to this Issue. The papers are mainly concentrated in three application areas: supplier selection and rational order allocation, the evaluation and selection of goods or facilities, and personnel selection/partner selection. A number of new approaches are proposed that are expected to attract great interest from the research community.
multicriteria decisionmaking  group decisionmaking  subcontractor evaluation  MCDM  MADM  fuzzy sets  fuzzy EDAS  multiattribute decision making  projection model  bidirectional projection model  Pythagorean uncertain linguistic variable  rough number  rough weighted aggregated sum product assessment (WASPAS)  rough analytical hierarchical process (AHP)  multiple criteria decision making (MCDM)  supplier  supplier selection  order allocation  multiobjective optimization  interactive approach  desirability function  Pythagorean fuzzy set  Muirhead mean  multiple criteria group decisionmaking  multiple attributes decisionmaking  group decisionmaking  unbalanced linguistic set  prioritized average operator  maximizing deviation model  Pythagorean fuzzy set  Muirhead mean  interaction operational laws  multiattribute group decisionmaking  green supplier  rough ANP  trapezoidal fuzzy number  rough boundary interval  evidence theory  trust interval  multiple attribute decision making  linguistic cubic variable  Dombi operations  linguistic cubic variable Dombi weighted arithmetic average (LCVDWAA) operator  linguistic cubic variable Dombi weighted geometric average (LCVDWGA) operator  singlevalued linguistic neutrosophic interval linguistic number  score function  weighted aggregation operator  decision making  multiple attribute decision making  nonnegative normal neutrosophic number  aggregation operator  multicriteria decisionmaking  multihesitant fuzzy sets  aggregation operators  hesitant probabilistic fuzzy element (HPFE)  Einstein operations  hesitant probabilistic fuzzy Einstein aggregation operators  multiple attribute decision making (MADM).  ANFIS  warehouse  queuing systems  logistics  uncertain group decisionmaking support systems  multiple criteria decisionmaking  reliable group decisionmaking  interval multiplicative preference relations  rough sets  binary discernibility matrices  deterministic finite automata  multiplecriteria decisionmaking (MCDM)  multiattribute decisionmaking (MADM)  fuzzy sets  neutrosophic sets  rough sets  aggregation operators  adaptive neurofuzzy inference system (ANFIS)
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Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (,
generalized aggregation operators  interval neutrosophic set (INS)  multiattribute decision making (MADM)  Choquet integral  fuzzy measure  clustering algorithm  neutrosophic association rule  data mining  neutrosophic sets  big data  analytic hierarchy process (AHP)  SWOT analysis  multicriteria decisionmaking (MCDM) techniques  neutrosophic set theory  neutrosophic clustering  image segmentation  neutrosophic cmeans clustering  region growing  dermoscopy  skin cancer  neutosophic extended triplet subgroups  neutrosophic triplet cosets  neutrosophic triplet normal subgroups  neutrosophic triplet quotient groups  shopping mall  photovoltaic plan  decisionmaking trial and evaluation laboratory (DEMATEL)  intervalvalued neutrosophic set  extended ELECTRE III  symmetry  single valued neutrosophic set (SVNS)  neutrosophic multiset (NM)  single valued neutrosophic multiset (SVNM)  cosine measure  multiple attribute decisionmaking  LNGPBM operator  LNGWPBM operator  Linguistic neutrosophic sets  generalized partitioned Bonferroni mean operator  multiple attribute group decisionmaking (MAGDM)  pseudoBCI algebra  hesitant fuzzy set  neutrosophic set  filter  action learning  school administrator  SVM  neutrosophic classification  neutrosophic set  soft set  totally dependentneutrosophic set  totally dependentneutrosophic soft set  generalized De Morgan algebra  complex neutrosophic set  complex neutrosophic graph  fuzzy graph  matrix representation  neutrosophic triplet groups  semigroup  semineutrosophic triplets  classical group of neutrosophic triplets  Ssemigroup of neutrosophic triplets  pseudo primitive elements  neutrosophic sets (NSs)  interval neutrosophic numbers (INNs)  exponential operational laws of interval neutrosophic numbers  interval neutrosophic weighted exponential aggregation (INWEA) operator  multiple attribute decision making (MADM)  typhoon disaster evaluation  simplified neutrosophic linguistic numbers  cloud model  Maclaurin symmetric mean  multicriteria decisionmaking  neutrosophy  DSmT  decisionmaking algorithms  robotic dexterous hands  grasping configurations  grasp type  generalized group  neutrosophic triplet set  neutrosophic triplet group  group  neutrosophic cubic set  neutrosophic cubic graphs  applications of neutrosophic cubic graphs  singlevalued neutrosophic multisets  medical diagnosis  probabilistic rough sets over two universes  threeway decisions  similarity measures  neutrosophic cubic set  decisionmaking  soft sets  support soft sets  interval valued neutrosophic support soft sets  sustainable supplier selection problems (SSSPs)  analytic network process  interdependency of criteria  TOPSIS  neutrosophic set  2inglevalued neutrosophic set  Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS)  integrated weight  maximizing deviation  multiattribute decisionmaking (MADM)  neutrosophic triplet set (NTS)  partial metric spaces (PMS)  fixed point theory (FPT)  neutrosophic triplet  quasi neutrosophic triplet loop  quasi neutrosophic triplet group  BEalgebra  CIalgebra  fuzzy time series  forecasting  twofactor fuzzy logical relationship  multivalued neutrosophic set  Hamming distance  neutrosophic set  prioritized operator  Muirhead mean  multicriteria decisionmaking  aggregation operators  dual aggregation operators  neutrosophic triplet group (NTG)  NTsubgroup  homomorphism theorem  weak commutative neutrosophic triplet group  neutrosophic rough set  MGNRS  dual domains  inclusion relation  decisionmaking  neutromonomorphism  neutroepimorphism  neutroautomorphism  fundamental neutrohomomorphism theorem  first neutroisomorphism theorem  and second neutroisomorphism theorem  linear and nonlinear neutrosophic number  deneutrosophication methods  neutrosophic set  bipolar fuzzy set  neutrosophic bipolar fuzzy set  neutrosophic bipolar fuzzy weighted averaging operator  similarity measure  algorithm  multiple attribute decision making problem  neutrosophic duplets  semigroup  neutrosophic triplet groups  neutrosophic set  fault diagnosis  normal distribution  defuzzification  simplified neutrosophic weighted averaging operator  (commutative) ideal  generalized neutrosophic set  generalized neutrosophic ideal  commutative generalized neutrosophic ideal  linguistic neutrosophic sets  multicriteria group decisionmaking  power aggregation operator  extended TOPSIS method  probabilistic singlevalued (interval) neutrosophic hesitant fuzzy set  multiattribute decision making  aggregation operator  quasigroup  loop  BCIalgebra  BolMoufang  quasi neutrosophic loops  Fenyves identities  Gmetric  neutrosophic Gmetric  neutrosophic sets  clustering  neutrosophic big data  neutrosophic logic  aggregation operator  complement  intersection  membership  neutrosophic soft set  NC power dual MM operator (NCPDMM) operator  NCPMM operator  MADM  MM operator  Neutrosophic cubic sets  PA operator  interval neutrosophic sets  Bonferroni mean  power operator  multiattribute decision making (MADM)  multiple attribute group decision making (MAGDM)  2tuple linguistic neutrosophic sets (2TLNSs)  TODIM model  2TLNNs TODIM method  construction project  MCGDM problems  triangular fuzzy neutrosophic sets (TFNSs)  VIKOR model  TFNNs VIKOR method  potential evaluation  emerging technology commercialization  Qlinguistic neutrosophic variable set  vector similarity measure  cosine measure  Dice measure  Jaccard measure  decision making  inclusion relation  neutrosophic rough set  multiattribute group decisionmaking (MAGDM)  multigranulation neutrosophic rough set (MNRS)  two universes  single valued trapezoidal neutrosophic number  multicriteria group decision making  possibility degree  power aggregation operators  LAsemihypergroups  neutrosophic triplet set  neutrohomomorphism  algorithm  decision making  expert set  generalized neutrosophic set  neutrosophic sets  Qneutrosophic  soft sets  simplified neutrosophic sets (SNSs)  interval number  dependent degree  multicriteria group decisionmaking (MCGDM)  computability  oracle Turing machines  neutrosophic sets  neutrosophic logic  recursive enumerability  oracle computation  criterion functions  neutrosophic computation  neutrosophic logic  quantum computation  computation  logic
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Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (,
generalized aggregation operators  interval neutrosophic set (INS)  multiattribute decision making (MADM)  Choquet integral  fuzzy measure  clustering algorithm  neutrosophic association rule  data mining  neutrosophic sets  big data  analytic hierarchy process (AHP)  SWOT analysis  multicriteria decisionmaking (MCDM) techniques  neutrosophic set theory  neutrosophic clustering  image segmentation  neutrosophic cmeans clustering  region growing  dermoscopy  skin cancer  neutosophic extended triplet subgroups  neutrosophic triplet cosets  neutrosophic triplet normal subgroups  neutrosophic triplet quotient groups  shopping mall  photovoltaic plan  decisionmaking trial and evaluation laboratory (DEMATEL)  intervalvalued neutrosophic set  extended ELECTRE III  symmetry  single valued neutrosophic set (SVNS)  neutrosophic multiset (NM)  single valued neutrosophic multiset (SVNM)  cosine measure  multiple attribute decisionmaking  LNGPBM operator  LNGWPBM operator  Linguistic neutrosophic sets  generalized partitioned Bonferroni mean operator  multiple attribute group decisionmaking (MAGDM)  pseudoBCI algebra  hesitant fuzzy set  neutrosophic set  filter  action learning  school administrator  SVM  neutrosophic classification  neutrosophic set  soft set  totally dependentneutrosophic set  totally dependentneutrosophic soft set  generalized De Morgan algebra  complex neutrosophic set  complex neutrosophic graph  fuzzy graph  matrix representation  neutrosophic triplet groups  semigroup  semineutrosophic triplets  classical group of neutrosophic triplets  Ssemigroup of neutrosophic triplets  pseudo primitive elements  neutrosophic sets (NSs)  interval neutrosophic numbers (INNs)  exponential operational laws of interval neutrosophic numbers  interval neutrosophic weighted exponential aggregation (INWEA) operator  multiple attribute decision making (MADM)  typhoon disaster evaluation  simplified neutrosophic linguistic numbers  cloud model  Maclaurin symmetric mean  multicriteria decisionmaking  neutrosophy  DSmT  decisionmaking algorithms  robotic dexterous hands  grasping configurations  grasp type  generalized group  neutrosophic triplet set  neutrosophic triplet group  group  neutrosophic cubic set  neutrosophic cubic graphs  applications of neutrosophic cubic graphs  singlevalued neutrosophic multisets  medical diagnosis  probabilistic rough sets over two universes  threeway decisions  similarity measures  neutrosophic cubic set  decisionmaking  soft sets  support soft sets  interval valued neutrosophic support soft sets  sustainable supplier selection problems (SSSPs)  analytic network process  interdependency of criteria  TOPSIS  neutrosophic set  2inglevalued neutrosophic set  Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS)  integrated weight  maximizing deviation  multiattribute decisionmaking (MADM)  neutrosophic triplet set (NTS)  partial metric spaces (PMS)  fixed point theory (FPT)  neutrosophic triplet  quasi neutrosophic triplet loop  quasi neutrosophic triplet group  BEalgebra  CIalgebra  fuzzy time series  forecasting  twofactor fuzzy logical relationship  multivalued neutrosophic set  Hamming distance  neutrosophic set  prioritized operator  Muirhead mean  multicriteria decisionmaking  aggregation operators  dual aggregation operators  neutrosophic triplet group (NTG)  NTsubgroup  homomorphism theorem  weak commutative neutrosophic triplet group  neutrosophic rough set  MGNRS  dual domains  inclusion relation  decisionmaking  neutromonomorphism  neutroepimorphism  neutroautomorphism  fundamental neutrohomomorphism theorem  first neutroisomorphism theorem  and second neutroisomorphism theorem  linear and nonlinear neutrosophic number  deneutrosophication methods  neutrosophic set  bipolar fuzzy set  neutrosophic bipolar fuzzy set  neutrosophic bipolar fuzzy weighted averaging operator  similarity measure  algorithm  multiple attribute decision making problem  neutrosophic duplets  semigroup  neutrosophic triplet groups  neutrosophic set  fault diagnosis  normal distribution  defuzzification  simplified neutrosophic weighted averaging operator  (commutative) ideal  generalized neutrosophic set  generalized neutrosophic ideal  commutative generalized neutrosophic ideal  linguistic neutrosophic sets  multicriteria group decisionmaking  power aggregation operator  extended TOPSIS method  probabilistic singlevalued (interval) neutrosophic hesitant fuzzy set  multiattribute decision making  aggregation operator  quasigroup  loop  BCIalgebra  BolMoufang  quasi neutrosophic loops  Fenyves identities  Gmetric  neutrosophic Gmetric  neutrosophic sets  clustering  neutrosophic big data  neutrosophic logic  aggregation operator  complement  intersection  membership  neutrosophic soft set  NC power dual MM operator (NCPDMM) operator  NCPMM operator  MADM  MM operator  Neutrosophic cubic sets  PA operator  interval neutrosophic sets  Bonferroni mean  power operator  multiattribute decision making (MADM)  multiple attribute group decision making (MAGDM)  2tuple linguistic neutrosophic sets (2TLNSs)  TODIM model  2TLNNs TODIM method  construction project  MCGDM problems  triangular fuzzy neutrosophic sets (TFNSs)  VIKOR model  TFNNs VIKOR method  potential evaluation  emerging technology commercialization  Qlinguistic neutrosophic variable set  vector similarity measure  cosine measure  Dice measure  Jaccard measure  decision making  inclusion relation  neutrosophic rough set  multiattribute group decisionmaking (MAGDM)  multigranulation neutrosophic rough set (MNRS)  two universes  single valued trapezoidal neutrosophic number  multicriteria group decision making  possibility degree  power aggregation operators  LAsemihypergroups  neutrosophic triplet set  neutrohomomorphism  algorithm  decision making  expert set  generalized neutrosophic set  neutrosophic sets  Qneutrosophic  soft sets  simplified neutrosophic sets (SNSs)  interval number  dependent degree  multicriteria group decisionmaking (MCGDM)  computability  oracle Turing machines  neutrosophic sets  neutrosophic logic  recursive enumerability  oracle computation  criterion functions  neutrosophic computation  neutrosophic logic  quantum computation  computation  logic  n/a
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This book contains 37 papers by 73 renowned experts from 13 countries around the world, on following topics: neutrosophic set; neutrosophic rings; neutrosophic quadruple rings; idempotents; neutrosophic extended triplet group; hypergroup; semihypergroup; neutrosophic extended triplet group; neutrosophic extended triplet semihypergroup and hypergroup; neutrosophic offset; uninorm; neutrosophic offuninorm and offnorm; neutrosophic offconorm; implicator; prospector; nperson cooperative game; ordinary singlevalued neutrosophic (co)topology; ordinary singlevalued neutrosophic subspace; ?level; ordinary singlevalued neutrosophic neighborhood system; ordinary singlevalued neutrosophic base and subbase; fuzzy numbers; neutrosophic numbers; neutrosophic symmetric scenarios; performance indicators; financial assets; neutrosophic extended triplet group; neutrosophic quadruple numbers; refined neutrosophic numbers; refined neutrosophic quadruple numbers; multigranulation neutrosophic rough set; nondual; two universes; multiattribute group decision making; nonstandard analysis; extended nonstandard analysis; monad; binad; left monad closed to the right; right monad closed to the left; pierced binad; unpierced binad; nonstandard neutrosophic mobinad set; neutrosophic topology; nonstandard neutrosophic topology; visual tracking; neutrosophic weight; objectness; weighted multiple instance learning; neutrosophic triangular norms; residuated lattices; representable neutrosophic tnorms; De Morgan neutrosophic triples; neutrosophic residual implications; infinitely ?distributive; probabilistic neutrosophic hesitant fuzzy set; decisionmaking; Choquet integral; emarketing; Internet of Things; neutrosophic set; multicriteria decision making techniques; uncertainty modeling; neutrosophic goal programming approach; shale gas water management system.
singlevalued neutrosophic soft number and its operations  SVN soft weighted arithmetic averaging operator  SVN soft weighted geometric averaging operator  decisionmaking  optimization solution  sampling plan  producer’s risk’  consumer’s risk  sample size  decision making  neutrosophic set  Qneutrosophic set  Qneutrosophic soft set  soft set  Neutrosophic compound orthogonal neural network  Neutrosophic number  Neutrosophic function  Function approximation  triangular neutrosophic cubic fuzzy number  Einstein tnorm  arithmetic averaging operator  Multiattribute decision making  numerical application  neutrosophic statistical interval method  classical statistics  fuzzy logic  producer’s risk  consumer’s risk  neutrosophic cubic weighted geometric operator (NCWG)  neutrosophic cubic ordered weighted geometric operator (NCOWG)  neutrosophic cubic Einstein weighted geometric operator (NCEWG)  neutrosophic cubic Einstein ordered weighted geometric operator (NCEOWG)  multiattribute decision making  singlevalued neutrosophic set  aggregation  TOPSIS  singlevalued neutrosophic linguistic set  distance measure  combined weighted average  MAGDM  lowcarbon supplier selection  weighted geometric operator  weighted average operator  neutrosophic cubic sets  multiattribute decisionmaking (MADM)  neutrosophic cubic hybrid weighted arithmetic and geometric aggregation operator (NCHWAGA)  neutrosophic sets  cubic sets  soft sets  neutrosophic cubic soft sets  neutrosophic cubic soft expert system  multicriteria decisionmaking  neutrosophic extended triplet group  generalized neutrosophic extended triplet group  quasicompletely regular semigroup  clifford semigroup  prostate cancer  neutrosophic statistics  dietary fat level  neutrosophic regression  neutrosophic correlation  single valued neutrosophic sets  logarithmic operational laws  logarithmic aggregation operators  MCGDM problems  complex neutrosophic set  complex neutrosophic soft expert set  fuzzy parameterized single valued neutrosophic soft expert set  single valued neutrosophic set  soft expert set  decision making  membership function  neutrosophic set  neutrosophic soft rough  relations  rough set approximation  soft set  neutrosophic time series  triangular neutrosophic number  neutrosophic logical relationship  neutrosophic logical relationship groups  smart port  simplified neutrosophic set  singlevalued neutrosophic set  exponential similarity measure  port evaluation  nonstandard analysis  extended nonstandard analysis  open and closed monads to the left/right  pierced and unpierced binads  MoBiNad set  infinitesimals  infinities  nonstandard reals  standard reals  nonstandard neutrosophic lattices of first type (as poset) and second type (as algebraic structure), nonstandard neutrosophic logic  extended nonstandard neutrosophic logic  nonstandard arithmetic operations  nonstandard unit interval  nonstandard neutrosophic infimum  nonstandard neutrosophic supremum  intuitionistic fuzzy parameters  uncertainty modeling  neutrosophic goal programming approach  shale gas water management system  emarketing  Internet of Things  neutrsophic set  multicriteria decision making techniques  probabilistic neutrosophic hesitant fuzzy set (PNHFS)  decisionmaking  Choquet integral  neutrosophic extended triplet group  neutrosophic quadruple numbers  neutrosophic set  BNHWA aggregation operator  BNHOWA aggregation operator  BNHHA aggregation operator  score function  accuracy function  certainty function  group decision making  nonstandard analysis  extended nonstandard analysis  monad  binad  left monad closed to the right  right monad closed to the left  pierced binad  unpierced binad  nonstandard neutrosophic mobinad set  neutrosophic topology  nonstandard neutrosophic topology  neutrosophic sets  neutrosophic triangular norms  residuated lattices  representable neutrosophic tnorms  De Morgan neutrosophic triples  neutrosophic residual implications  infinitely ?distributive  visual tracking  neutrosophic weight  objectness  weighted multiple instance learning  supply chain sustainability metrics  plithogeny  aggregation operations  neutrosophic set  quality function deployment  multigranulation neutrosophic rough set  nondual  two universes  multiattribute group decision making  neutrosophic extended triplet group  neutrosophic quadruple numbers  refined neutrosophic numbers  refined neutrosophic quadruple numbers  neutrosophic set  fuzzy numbers  neutrosophic numbers  neutrosophic symmetric scenarios  performance indicators  financial assets  simplified neutrosophic hesitant fuzzy set  multiattribute decisionmaking  maximizing deviation  TOPSIS  single valued neutrosophic set  covering  symmetric relation  graph representation  matrix representation  paper defect diagnosis  ordinary single valued neutrosophic (co)topology  ordinary single valued neutrosophic subspace  ?level  ordinary single valued neutrosophic neighborhood system  ordinary single valued neutrosophic base  ordinary single valued neutrosophic subbase  neutrosophic offset  uninorm  neutrosophic offuninorm  neutrosophic offnorm  neutrosophic offconorm  implicator  prospector  nperson cooperative game  hypergroup  semihypergroup  neutrosophic extended triplet group  neutrosophic extended triplet semihypergroup (NETsemihypergroup)  NEThypergroup  neutrosophic rings  neutrosophic quadruple rings  idempotents  neutrosophic extended triplet group  neutrosophic set
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