A novel topological distance in formal concept analysis

As a formalization of the concept analysis and Applications, formal concept analysis has been studied for years since early 1980s, the exploration was made by many scholars in different ways, we have introduced the topology structures induced by the concepts for the first time, the relationship between the topological properties and some mathematical properties are indicated. In the present paper, a distance function was defined with the topological structure, some results were given to manifest the concept, we pave a way to explore concept lattice with topological approach.