Neutrosophic System and its Applications A New Wave

Neutosophic logic and sets is a new theory that has recently been introduced. The term "neutro-sophy" means "knowledge of neutral mind," and the word "neutral" stands for the major difference between "fuzzy" and "intuitionistic fuzzy" logic and sets. Florentin Smarandache coined the term "neutrosophic logic" in 1995. It is a logic in which each proposition is estimated to have a degree of truth (T), a degree of indeterminacy (I) and a degree of falsity (F). A Neutrosophic set is a set where each element of the universe has a degree of truth, indeterminacy and falsity respectively and which lies between [0, 1]*, the non-standard unit interval. Unlike in intuitionistic fuzzy sets, where the incorporated uncertainty is dependent of the degree of belongingness and degree of non-belongingness, here the uncertainty present, i.e. the indeterminacy factor, is independent of truth and falsity values. Neutrosophc sets provide new research field of Topological spaces, Algebra, Fixed point theorem, Graph theory, Operation research and Decision making, Neutrosophic system plays important role in the fields of Information Systems, Computer Science, Artificial Intelligence, Applied Mathematics, Medicine, Management Science, and Electrical & Electronic, etc. This author believes that this book will be help those who are willing to start research work in the field Neutrosophic sets and system.