Since everything in the world is full of indeterminacy so, the neutrosophic becomes appear and found their place into research. The purpose of this paper is twofold: first, it focuses on some important notions such as neutrosophic set, neutrosophic logic, neutrosophic measure, neutrosophic integral, and a single valued neutrosophic set (SVNS). Second, the most important part of the paper is related to the neutrosophic applications. There exists a lot of application in all field such as in information technology, information system and decision support system for example, relational database systems, semantic web services, financial data set detection, new economy’s growth, decline analysis and etc… These notion and application may help the researcher in making algorithm to solve problems.