Fundamental theory of sequences in intuitionistic fuzzy soft topological space

Topology and sequence are important mathematical tools for exploratory data mining and common techniques for statistical data analysis, used in many fields, including machine learning, pattern recognition, image analysis, information retrieval and bioinformatics. In this research work, we introduce new types of intuitionistic fuzzy soft sequences and their fundamental properties in intuitionistic fuzzy soft topological spaces are studied. The concepts of subsequence, increasing sequence, decreasing sequence and convergence sequence of intuitionistic fuzzy soft sets are proposed. The concepts of clusters of intuitionistic fuzzy soft sequences are also introduced. Some new results regarding the above concepts are explored.