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partially ordered neutrosophic extended triplet group; positive cone; homomorphism; quotient set; single-valued neutrosophic closure; single-valued neutrosophic ideal; single-valued neutrosophic ideal open local function; single-valued neutrosophic ideal closure; single-valued neutrosophic ideal interior; single-valued neutrosophic ideal open compatible; single-valued neutrosophic linguistic set; distance measure; weighted induced aggregation; MAGDM; investment selection; INVS; DEMATEL; linguistic variable; neutrosophic sets; Single Valued Refined Neutrosophic Set; applications of Neutrosophic sets; k-means algorithm; clustering algorithms; neutrosophic cubic set (NCS); neutrosophic cubic generalized unified aggregation (NCGUA); neutrosophic cubic quasi-generalized unified aggregation (NCQGUA); multi-expert decision-making method (MEDMM); single-valued neutrosophic set; triangular neutrosophic number; data envelopment analysis; healthcare systems; performance evaluation; generalized dynamic interval-valued neutrosophic set; hesitant fuzzy set; dynamic neutrosophic environment; dynamic TOPSIS method; neutrosophic data analytics; Tarski associative groupoid (TA-groupoid); TA-NET-groupoid; semigroup; subgroup; neutrosophic components (NC); NC semigroup; multiset NC; n-multiplicity; multiset NC semigroup; special zero divisors; torsion free semigroup; weakly torsion free semigroup; infinite commutative ring; group under addition modulo 1; infinite neutrosophic communicative ring; multiset NC semirings; fuzzy set theory; difference equation; neutrosophic number; simplified neutrosophic symmetry measure; neutrosociology; modeling of grand theory of action of Talcott Parsons; single-valued neutrosophic number; measure of similarity; decision-making applications; single-valued neutrosophic fuzzy set; soft set; Algorithm 1; Algorithm 2; decision-making; neutrosophic set; fault diagnosis; triangle fuzzy number; weighted correlation coefficient; target recognition; complementarity analysis; data fusion; stratification of single-valued neutrosophic topological spaces; r-single-valued neutrosophic separated; r-single-valued neutrosophic connected and r-single-valued neutrosophic component; sentiment analysis; speech analysis; indeterminacy; Single-Valued Neutrosophic Sets (SVNS); clustering algorithm; K-means; hierarchical agglomerative clustering; Soft set; hypersoft set; plithogenic hypersoft set (PHSS); multi-criteria decision making (MCDM); PHSS-based TOPSIS; interval-valued neutrosophic crisp set; interval-valued neutrosophic crisp (vanishing) point; interval-valued neutrosophic crisp topological space; interval-valued neutrosophic crisp base (subbase); interval-valued neutrosophic crisp neighborhood; interval-valued neutrosophic crisp closure (interior); interval-valued neutrosophic crisp continuity; interval-valued neutrosophic crisp quotient topology; r-single valued neutrosophic £-closed; £-single valued neutrosophic irresolute mapping; £-single valued neutrosophic extremally disconnected; £-single valued neutrosophic normal; r-SVNIRi; r-SVNITj; neutrosophic multi continuous mapping; neutrosophic multi topological group; neutrosophic multi almost continuous mapping; neutrosophic multi almost topological group