New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic & Plithogenic Optimizations

• Other Authors: Smarandache, Florentin (Editor), Guo, Yanhui (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2022
• Subjects: Research & information: general; Mathematics & science; 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
• Online Access: DOAB: download the publication; DOAB: description of the publication

This Special Issue puts forward for discussion state-of-the-art papers on new topics related to neutrosophic theories, such as neutrosophic algebraic structures, neutrosophic triplet algebraic structures, neutrosophic extended triplet algebraic structures, neutrosophic algebraic hyperstructures, neutrosophic triplet algebraic hyperstructures, neutrosophic n-ary algebraic structures, neutrosophic n-ary algebraic hyperstructures, refined neutrosophic algebraic structures, refined neutrosophic algebraic hyperstructures, quadruple neutrosophic algebraic structures, refined quadruple neutrosophic algebraic structures, neutrosophic image processing, neutrosophic image classification, neutrosophic computer vision, neutrosophic machine learning, neutrosophic artificial intelligence, neutrosophic data analytics, neutrosophic deep learning, neutrosophic symmetry, and their applications in the real world. This book leads to the further advancement of the neutrosophic and plithogenic theories of NeutroAlgebra and AntiAlgebra, NeutroGeometry and AntiGeometry, Neutrosophic n-SuperHyperGraph (the most general form of graph of today), Neutrosophic Statistics, Plithogenic Logic as a generalization of MultiVariate Logic, Plithogenic Probability and Plithogenic Statistics as a generalization of MultiVariate Probability and Statistics, respectively, and presents their countless applications in our every-day world.