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This book is a Printed Edition of the Special Issue that covers research on symmetric and asymmetric data that occur in real-life problems. We invited authors to submit their theoretical or experimental research to present engineering and economic problem solution models that deal with symmetry or asymmetry of different data types. The Special Issue gained interest in the research community and received many submissions. After rigorous scientific evaluation by editors and reviewers, seventeen papers were accepted and published. The authors proposed different solution models, mainly covering uncertain data in multicriteria decision-making (MCDM) problems as complex tools to balance the symmetry between goals, risks, and constraints to cope with the complicated problems in engineering or management. Therefore, we invite researchers interested in the topics to read the papers provided in the book.

Information technology industries --- COVID-19 --- criteria importance through inter-criteria correlation (CRITIC) --- combined compromise solution (CoCoSo) --- gray values --- temporary hospital --- location selection --- ARAS --- interval-valued triangular fuzzy numbers --- e-learning courses --- MCDM --- neutrosophic sets --- quadripartitioned bipolar neutrosophic sets --- similarity measure --- decision making --- multiple-criteria decision-making --- neutrosophic --- single-valued neutrosophic sets --- TOPSIS --- Hamming distance --- Euclidean distance --- e-commerce development strategies --- Symmetry --- bibliometric analysis --- Web of Science --- co-citation --- burst detection analysis --- supply chain --- DANP-mV model --- performance analysis --- asymmetric underactuated --- rehabilitation --- robotic exoskeleton --- symmetric and asymmetric trajectory --- Bowden cable --- video processing data --- EOQ --- Wilson’s formulation --- lot size --- reordering time --- visual analogue scales (VAS) --- criteria weighting --- matrix question --- survey --- WASPAS-SVNS --- entropy --- direct rating --- rehabilitation device --- electromyogram --- symmetry --- window parameters --- feature extraction --- pattern recognition --- sensitivity analysis --- reliability --- failure probability --- quantile --- civil engineering --- limit states --- mathematical model --- uncertainty --- cost overrun --- construction project --- fuzzy sets --- earned value management (EVM) --- artificial neural networks (ANNs) --- multiple regression analysis --- road industry --- buckling --- safety --- superquantile --- subquantile --- aerial imagery --- lossy compression --- qualitative evaluation --- WASPAS --- neutrosophic set --- Analytic Hierarchy Process --- fuzzy Analytic Hierarchy Process --- symmetric and asymmetric fuzzy numbers --- stability --- landscape --- micro factor --- macro factor --- real estate market --- Big Data analysis --- Big Data --- land price --- R and Python --- land Big Data --- symmetric data --- asymmetric data --- solution models --- COVID-19 --- criteria importance through inter-criteria correlation (CRITIC) --- combined compromise solution (CoCoSo) --- gray values --- temporary hospital --- location selection --- ARAS --- interval-valued triangular fuzzy numbers --- e-learning courses --- MCDM --- neutrosophic sets --- quadripartitioned bipolar neutrosophic sets --- similarity measure --- decision making --- multiple-criteria decision-making --- neutrosophic --- single-valued neutrosophic sets --- TOPSIS --- Hamming distance --- Euclidean distance --- e-commerce development strategies --- Symmetry --- bibliometric analysis --- Web of Science --- co-citation --- burst detection analysis --- supply chain --- DANP-mV model --- performance analysis --- asymmetric underactuated --- rehabilitation --- robotic exoskeleton --- symmetric and asymmetric trajectory --- Bowden cable --- video processing data --- EOQ --- Wilson’s formulation --- lot size --- reordering time --- visual analogue scales (VAS) --- criteria weighting --- matrix question --- survey --- WASPAS-SVNS --- entropy --- direct rating --- rehabilitation device --- electromyogram --- symmetry --- window parameters --- feature extraction --- pattern recognition --- sensitivity analysis --- reliability --- failure probability --- quantile --- civil engineering --- limit states --- mathematical model --- uncertainty --- cost overrun --- construction project --- fuzzy sets --- earned value management (EVM) --- artificial neural networks (ANNs) --- multiple regression analysis --- road industry --- buckling --- safety --- superquantile --- subquantile --- aerial imagery --- lossy compression --- qualitative evaluation --- WASPAS --- neutrosophic set --- Analytic Hierarchy Process --- fuzzy Analytic Hierarchy Process --- symmetric and asymmetric fuzzy numbers --- stability --- landscape --- micro factor --- macro factor --- real estate market --- Big Data analysis --- Big Data --- land price --- R and Python --- land Big Data --- symmetric data --- asymmetric data --- solution models

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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; n-person cooperative game; ordinary single-valued neutrosophic (co)topology; ordinary single-valued neutrosophic subspace; ?-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.

nonstandard neutrosophic supremum --- classical statistics --- complex neutrosophic set --- neutrosophic offnorm --- neutrosophic extended triplet group --- multi-attribute decision-making (MADM) --- neutrosophic time series --- refined neutrosophic quadruple numbers --- BNHHA aggregation operator --- neutrosophic offconorm --- monad --- matrix representation --- left monad closed to the right --- implicator --- neutrsophic set --- neutrosophic correlation --- neutrosophic cubic sets --- decision-making --- MoBiNad set --- open and closed monads to the left/right --- distance measure --- De Morgan neutrosophic triples --- group decision making --- financial assets --- soft expert set --- uninorm --- multi-attribute group decision making --- sampling plan --- cubic sets --- neutrosophic cubic ordered weighted geometric operator (NCOWG) --- shale gas water management system --- weighted average operator --- aggregation operations --- quality function deployment --- Einstein t-norm --- neutrosophic rings --- non-standard neutrosophic topology --- BNHWA aggregation operator --- hypergroup --- triangular neutrosophic cubic fuzzy number --- pierced and unpierced binads --- numerical application --- neutrosophic cubic weighted geometric operator (NCWG) --- relations --- extended nonstandard analysis --- arithmetic averaging operator --- nonstandard reals --- Choquet integral --- Function approximation --- neutrosophic triangular norms --- weighted geometric operator --- neutrosophic regression --- optimization solution --- ordinary single valued neutrosophic neighborhood system --- smart port --- neutrosophic topology --- multi-criteria decision making techniques --- low-carbon supplier selection --- producer’s risk --- quasi-completely regular semigroup --- score function --- MAGDM --- multicriteria decision-making --- neutrosophic soft rough --- NET-hypergroup --- refined neutrosophic numbers --- neutrosophic logical relationship groups --- combined weighted average --- TOPSIS --- neutrosophic logical relationship --- logarithmic aggregation operators --- non-standard analysis --- multi-attribute decision-making --- neutrosophic extended triplet semihypergroup (NET-semihypergroup) --- aggregation --- nonstandard neutrosophic logic --- symmetric relation --- uncertainty modeling --- single valued neutrosophic sets --- BNHOWA aggregation operator --- ordinary single valued neutrosophic subspace --- generalized neutrosophic extended triplet group --- multi-attribute decision making --- ordinary single valued neutrosophic base --- nonstandard arithmetic operations --- pierced binad --- MCGDM problems --- simplified neutrosophic set --- residuated lattices --- Neutrosophic compound orthogonal neural network --- rough set approximation --- single-valued neutrosophic linguistic set --- binad --- multi-granulation neutrosophic rough set --- single valued neutrosophic set --- infinitesimals --- standard reals --- soft set --- non-standard neutrosophic mobinad set --- certainty function --- neutrosophic weight --- two universes --- sample size --- n-person cooperative game --- paper defect diagnosis --- performance indicators --- semihypergroup --- logarithmic operational laws --- right monad closed to the left --- idempotents --- unpierced binad --- neutrosophic cubic hybrid weighted arithmetic and geometric aggregation operator (NCHWAGA) --- neutrosophic symmetric scenarios --- extended nonstandard neutrosophic logic --- neutrosophic statistics --- neutrosophic goal programming approach --- neutrosophic offset --- neutrosophic statistical interval method --- weighted multiple instance learning --- neutrosophic cubic Einstein ordered weighted geometric operator (NCEOWG) --- fuzzy parameterized single valued neutrosophic soft expert set --- single-valued neutrosophic soft number and its operations --- Internet of Things --- extended non-standard analysis --- dietary fat level --- soft sets --- visual tracking --- neutrosophic offuninorm --- neutrosophic cubic Einstein weighted geometric operator (NCEWG) --- ordinary single valued neutrosophic subbase --- membership function --- non-dual --- SVN soft weighted arithmetic averaging operator --- Q-neutrosophic set --- neutrosophic sets --- fuzzy numbers --- intuitionistic fuzzy parameters --- producer’s risk’ --- graph representation --- exponential similarity measure --- infinities --- maximizing deviation --- Multi-attribute decision making --- SVN soft weighted geometric averaging operator --- objectness --- Q-neutrosophic soft set --- accuracy function --- consumer’s risk --- decision making --- Neutrosophic number --- clifford semigroup --- neutrosophic numbers --- neutrosophic residual implications --- nonstandard neutrosophic lattices of first type (as poset) and second type (as algebraic structure) --- covering --- e-marketing --- nonstandard analysis --- neutrosophic quadruple rings --- complex neutrosophic soft expert set --- single-valued neutrosophic set --- neutrosophic cubic soft expert system --- neutrosophic cubic soft sets --- triangular neutrosophic number --- supply chain sustainability metrics --- neutrosophic quadruple numbers --- ?-level --- nonstandard neutrosophic infimum --- infinitely ?-distributive --- plithogeny --- neutrosophic set --- fuzzy logic --- prospector --- Neutrosophic function --- representable neutrosophic t-norms --- probabilistic neutrosophic hesitant fuzzy set (PNHFS) --- prostate cancer --- nonstandard unit interval --- port evaluation --- simplified neutrosophic hesitant fuzzy set --- ordinary single valued neutrosophic (co)topology