Reprint

New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications

Edited by
November 2019
714 pages
  • ISBN978-3-03921-938-4 (Paperback)
  • ISBN978-3-03921-939-1 (PDF)

This is a Reprint of the Special Issue New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications that was published in

Biology & Life Sciences
Chemistry & Materials Science
Computer Science & Mathematics
Physical Sciences
Summary

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; n-person cooperative game; ordinary single-valued neutrosophic (co)topology; ordinary single-valued neutrosophic subspace; α-level; ordinary single-valued neutrosophic neighborhood system; ordinary single-valued 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 t-norms; De Morgan neutrosophic triples; neutrosophic residual implications; infinitely ∨-distributive; probabilistic neutrosophic hesitant fuzzy set; decision-making; Choquet integral; e-marketing; Internet of Things; neutrosophic set; multicriteria decision making techniques; uncertainty modeling; neutrosophic goal programming approach; shale gas water management system.

Format
  • Paperback
License and Copyright
© 2020 by the authors; CC BY license
Keywords
single-valued neutrosophic soft number and its operations; SVN soft weighted arithmetic averaging operator; SVN soft weighted geometric averaging operator; decision-making; optimization solution; sampling plan; producer’s risk’; consumer’s risk; sample size; decision making; neutrosophic set; Q-neutrosophic set; Q-neutrosophic soft set; soft set; Neutrosophic compound orthogonal neural network; Neutrosophic number; Neutrosophic function; Function approximation; triangular neutrosophic cubic fuzzy number; Einstein t-norm; arithmetic averaging operator; Multi-attribute 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); multi-attribute decision making; single-valued neutrosophic set; aggregation; TOPSIS; single-valued neutrosophic linguistic set; distance measure; combined weighted average; MAGDM; low-carbon supplier selection; weighted geometric operator; weighted average operator; neutrosophic cubic sets; multi-attribute decision-making (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 decision-making; neutrosophic extended triplet group; generalized neutrosophic extended triplet group; quasi-completely 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; single-valued 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; e-marketing; Internet of Things; neutrsophic set; multi-criteria decision making techniques; probabilistic neutrosophic hesitant fuzzy set (PNHFS); decision-making; 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; non-standard analysis; extended non-standard analysis; monad; binad; left monad closed to the right; right monad closed to the left; pierced binad; unpierced binad; non-standard neutrosophic mobinad set; neutrosophic topology; non-standard neutrosophic topology; neutrosophic sets; neutrosophic triangular norms; residuated lattices; representable neutrosophic t-norms; 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; multi-granulation neutrosophic rough set; non-dual; two universes; multi-attribute 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; multi-attribute decision-making; 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; α-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; n-person cooperative game; hypergroup; semihypergroup; neutrosophic extended triplet group; neutrosophic extended triplet semihypergroup (NET-semihypergroup); NET-hypergroup; neutrosophic rings; neutrosophic quadruple rings; idempotents; neutrosophic extended triplet group; neutrosophic set