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Neutrosophic theory has representatives on all continent sand, therefore, it can be said to be a universal theory. On the other hand, according to the two volumes of “The Encyclopedia of Neutrosophic Researchers” (2016, 2018) about 150 researchers from 37 countries apply the idea and the neutrosophic method. Neutrosophic theory was founded by Professor Florentin Smarandache in 1998; it constitutes further generalization of fuzzy and intuitionistic fuzzy theories. The key distinction between the neutrosophic set/logic and other types of sets/logics consists of the introduction of the degree of indeterminacy/neutrality (I) as independent component in the neutrosophic set. Thus, neutrosophic theory involves the degree of membership-truth (T), the degree of indeterminacy (I), and the degree of non-membership-falsehood (F). In recent years, the field of neutrosophic set, logic, measure, probability and statistics, precalculus and calculus etc. and their applications in multiple fields have been extended and applied in various fields, such as communication, management and information technology. The present volume gathers the latest neutrosophic techniques, methodologies or mixed approaches, being thus a barometer of the neutrosophic research in 2020.

neutrosophic topology --- neutrosophic generalized topology --- neutrosophic generalized pre-closed sets --- neutrosophic generalized pre-open sets --- neutrosophic p T 1 2 space --- neutrosophic g p T 1 2 space --- generalized neutrosophic compact and generalized neutrosophic compact --- fuzzy operating characteristic curve --- fuzzy OC band --- Birnbaum-Sunders distribution --- single acceptance sampling plan --- aggregation operator --- decision making --- neutrosophic soft expert sets --- neutrosophic soft expert multiset --- neutrosophic sets --- neutrosophic multisets --- neutrosophic multigroups --- neutrosophic multisubgroups --- bipolar neutrosophic number (BNN) --- BNN improved generalized weighted HM (BNNIGWHM) operator --- BNN improved generalized weighted geometry HM (BNNIGWGHM) operator --- decision-making --- neutrosophic cubic set --- neutrosophic cubic hybrid geometric operator --- neutrosophic cubic Einstein hybrid geometric operator --- multiattributedecision-making (MADM) --- neutrosophic set --- Zhang-Zhang’s YinYang bipolar fuzzy set --- single-valued bipolar neutrosophic set --- bipolar fuzzy set --- YinYang bipolar fuzzy set --- multiple attribute group decision making (MAGDM) --- Linguistic neutrosophic --- LNN Einstein weighted-average operator --- LNN Einstein weighted-geometry (LNNEWG) operator --- semi-idempotent --- neutrosophic rings --- modulo neutrosophic rings --- neutrosophic semi-idempotent --- neutrosophic ring --- neutrosophic triplets --- idemponents --- special neutrosophic triplets --- acceptance number --- neutrosophic approach --- operating characteristics --- risks --- sample size --- probabilistic neutrosophic hesitant fuzzy set --- distance measure --- similarity measure --- entropy measure --- multi-criteria decision-making (MCDM) --- Neutrosophic Quadruple (NQ) --- Neutrosophic Quadruple set --- NQ vector spaces --- NQ linear algebras --- NQ basis --- orthogonal or dual NQ vector subspaces --- similarity index --- diagnosis --- process --- indeterminacy --- neutrosophic statistics --- time-truncated test --- Weibull distribution --- risk --- uncertainty --- neutrosophic --- neutrosophic logic --- fuzzy logic --- control chart --- neutrosophic numbers --- monitoring --- financial assets --- neutrosophicportfolio --- neutrosophic portfolio return --- neutrosophic portfolio risk --- neutrosophic covariance --- Abel-Grassmann’s neutrosophic extended triplet loop --- generalized Abel-Grassmann’s neutrosophic extended triplet loop --- strong inverse AG-groupoid --- quasi strong inverse AG-groupoid --- quasi Clifford AG-groupoid --- semigroup --- CA-groupoid --- regular CA-groupoid --- neutrosophic extended triplet (NET) --- Green relation --- multi-attribute group decision-making --- granular computing --- interval-valued neutrosophic information --- multigranulation probabilistic models --- merger and acquisition target selections --- dynamic neutrosophic environment --- dynamic interval-valued neutrosophic set --- unknown weight information --- single-valued neutrosophic linguistic set --- combined weighted --- logarithmic distance measure --- supplier selection --- fresh aquatic products --- MAGDM

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Neutrosophic theory has representatives on all continent sand, therefore, it can be said to be a universal theory. On the other hand, according to the two volumes of “The Encyclopedia of Neutrosophic Researchers” (2016, 2018) about 150 researchers from 37 countries apply the idea and the neutrosophic method. Neutrosophic theory was founded by Professor Florentin Smarandache in 1998; it constitutes further generalization of fuzzy and intuitionistic fuzzy theories. The key distinction between the neutrosophic set/logic and other types of sets/logics consists of the introduction of the degree of indeterminacy/neutrality (I) as independent component in the neutrosophic set. Thus, neutrosophic theory involves the degree of membership-truth (T), the degree of indeterminacy (I), and the degree of non-membership-falsehood (F). In recent years, the field of neutrosophic set, logic, measure, probability and statistics, precalculus and calculus etc. and their applications in multiple fields have been extended and applied in various fields, such as communication, management and information technology. The present volume gathers the latest neutrosophic techniques, methodologies or mixed approaches, being thus a barometer of the neutrosophic research in 2020.

Research & information: general --- Mathematics & science --- neutrosophic topology --- neutrosophic generalized topology --- neutrosophic generalized pre-closed sets --- neutrosophic generalized pre-open sets --- neutrosophic p T 1 2 space --- neutrosophic g p T 1 2 space --- generalized neutrosophic compact and generalized neutrosophic compact --- fuzzy operating characteristic curve --- fuzzy OC band --- Birnbaum-Sunders distribution --- single acceptance sampling plan --- aggregation operator --- decision making --- neutrosophic soft expert sets --- neutrosophic soft expert multiset --- neutrosophic sets --- neutrosophic multisets --- neutrosophic multigroups --- neutrosophic multisubgroups --- bipolar neutrosophic number (BNN) --- BNN improved generalized weighted HM (BNNIGWHM) operator --- BNN improved generalized weighted geometry HM (BNNIGWGHM) operator --- decision-making --- neutrosophic cubic set --- neutrosophic cubic hybrid geometric operator --- neutrosophic cubic Einstein hybrid geometric operator --- multiattributedecision-making (MADM) --- neutrosophic set --- Zhang-Zhang’s YinYang bipolar fuzzy set --- single-valued bipolar neutrosophic set --- bipolar fuzzy set --- YinYang bipolar fuzzy set --- multiple attribute group decision making (MAGDM) --- Linguistic neutrosophic --- LNN Einstein weighted-average operator --- LNN Einstein weighted-geometry (LNNEWG) operator --- semi-idempotent --- neutrosophic rings --- modulo neutrosophic rings --- neutrosophic semi-idempotent --- neutrosophic ring --- neutrosophic triplets --- idemponents --- special neutrosophic triplets --- acceptance number --- neutrosophic approach --- operating characteristics --- risks --- sample size --- probabilistic neutrosophic hesitant fuzzy set --- distance measure --- similarity measure --- entropy measure --- multi-criteria decision-making (MCDM) --- Neutrosophic Quadruple (NQ) --- Neutrosophic Quadruple set --- NQ vector spaces --- NQ linear algebras --- NQ basis --- orthogonal or dual NQ vector subspaces --- similarity index --- diagnosis --- process --- indeterminacy --- neutrosophic statistics --- time-truncated test --- Weibull distribution --- risk --- uncertainty --- neutrosophic --- neutrosophic logic --- fuzzy logic --- control chart --- neutrosophic numbers --- monitoring --- financial assets --- neutrosophicportfolio --- neutrosophic portfolio return --- neutrosophic portfolio risk --- neutrosophic covariance --- Abel-Grassmann’s neutrosophic extended triplet loop --- generalized Abel-Grassmann’s neutrosophic extended triplet loop --- strong inverse AG-groupoid --- quasi strong inverse AG-groupoid --- quasi Clifford AG-groupoid --- semigroup --- CA-groupoid --- regular CA-groupoid --- neutrosophic extended triplet (NET) --- Green relation --- multi-attribute group decision-making --- granular computing --- interval-valued neutrosophic information --- multigranulation probabilistic models --- merger and acquisition target selections --- dynamic neutrosophic environment --- dynamic interval-valued neutrosophic set --- unknown weight information --- single-valued neutrosophic linguistic set --- combined weighted --- logarithmic distance measure --- supplier selection --- fresh aquatic products --- MAGDM --- neutrosophic topology --- neutrosophic generalized topology --- neutrosophic generalized pre-closed sets --- neutrosophic generalized pre-open sets --- neutrosophic p T 1 2 space --- neutrosophic g p T 1 2 space --- generalized neutrosophic compact and generalized neutrosophic compact --- fuzzy operating characteristic curve --- fuzzy OC band --- Birnbaum-Sunders distribution --- single acceptance sampling plan --- aggregation operator --- decision making --- neutrosophic soft expert sets --- neutrosophic soft expert multiset --- neutrosophic sets --- neutrosophic multisets --- neutrosophic multigroups --- neutrosophic multisubgroups --- bipolar neutrosophic number (BNN) --- BNN improved generalized weighted HM (BNNIGWHM) operator --- BNN improved generalized weighted geometry HM (BNNIGWGHM) operator --- decision-making --- neutrosophic cubic set --- neutrosophic cubic hybrid geometric operator --- neutrosophic cubic Einstein hybrid geometric operator --- multiattributedecision-making (MADM) --- neutrosophic set --- Zhang-Zhang’s YinYang bipolar fuzzy set --- single-valued bipolar neutrosophic set --- bipolar fuzzy set --- YinYang bipolar fuzzy set --- multiple attribute group decision making (MAGDM) --- Linguistic neutrosophic --- LNN Einstein weighted-average operator --- LNN Einstein weighted-geometry (LNNEWG) operator --- semi-idempotent --- neutrosophic rings --- modulo neutrosophic rings --- neutrosophic semi-idempotent --- neutrosophic ring --- neutrosophic triplets --- idemponents --- special neutrosophic triplets --- acceptance number --- neutrosophic approach --- operating characteristics --- risks --- sample size --- probabilistic neutrosophic hesitant fuzzy set --- distance measure --- similarity measure --- entropy measure --- multi-criteria decision-making (MCDM) --- Neutrosophic Quadruple (NQ) --- Neutrosophic Quadruple set --- NQ vector spaces --- NQ linear algebras --- NQ basis --- orthogonal or dual NQ vector subspaces --- similarity index --- diagnosis --- process --- indeterminacy --- neutrosophic statistics --- time-truncated test --- Weibull distribution --- risk --- uncertainty --- neutrosophic --- neutrosophic logic --- fuzzy logic --- control chart --- neutrosophic numbers --- monitoring --- financial assets --- neutrosophicportfolio --- neutrosophic portfolio return --- neutrosophic portfolio risk --- neutrosophic covariance --- Abel-Grassmann’s neutrosophic extended triplet loop --- generalized Abel-Grassmann’s neutrosophic extended triplet loop --- strong inverse AG-groupoid --- quasi strong inverse AG-groupoid --- quasi Clifford AG-groupoid --- semigroup --- CA-groupoid --- regular CA-groupoid --- neutrosophic extended triplet (NET) --- Green relation --- multi-attribute group decision-making --- granular computing --- interval-valued neutrosophic information --- multigranulation probabilistic models --- merger and acquisition target selections --- dynamic neutrosophic environment --- dynamic interval-valued neutrosophic set --- unknown weight information --- single-valued neutrosophic linguistic set --- combined weighted --- logarithmic distance measure --- supplier selection --- fresh aquatic products --- MAGDM