New Challenges in Neutrosophic Theory and Applications
Vladutescu, Stefan
New Challenges in Neutrosophic Theory and Applications - Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020 - 1 electronic resource (348 p.)
Open Access
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.
Creative Commons
English
books978-3-03943-289-9 9783039432882 9783039432899
10.3390/books978-3-03943-289-9 doi
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
New Challenges in Neutrosophic Theory and Applications - Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020 - 1 electronic resource (348 p.)
Open Access
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.
Creative Commons
English
books978-3-03943-289-9 9783039432882 9783039432899
10.3390/books978-3-03943-289-9 doi
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