In this book, the authors delve into the theories and advancements in the field of neutrosophic sets. The book explores the extensive applications of neutrosophic sets, ranging from neutrosophic graphs to single-valued trapezoidal neutrosophic sets, and their practical implications in knowledge management.

1. Applications of Neutroscopic Sets in Science, Humanity and Education. 2. First Order Non Homogeneous Ordinary Differential Equation with Initial Value Condition under Pentagonal Neutrosophic Number Environment. 3. Analysis of M/M/c Queue with Linguistic Single Valued Neutrosophic logic using Parametric Nonlinear Programming. 4. A Study on Cardinalities of the Neutrosophic Set and Neutrosophic Crisp Set. 5. A Study on the Systems of Neutrosophic Cylindrical Coordinates. 6. Application of Interval Quadri partitioned Single Valued Neutrosophic Sets to Graphs and Climatic Analysis. 7. Neutrosophic Submodule of Direct sum. 8. Quota harvesting logistic growth model:A neutrosophic differential equation approach. 9. Pentapartitioned Neutrosophic Dombi Weighted Aggregation Operator for MADM. 10. A Novel Technique of Neutrosophic Mayor-Torrens Hybrid Aggregation operator in Multi-Criteria Decision Making. 11. Similarity Measures of Fermatean Neutrosophic Sets based on the Euclidean Distance.