On four intuitionistic fuzzy feeble topological structures

The concepts of an Intuitionistic Fuzzy Feeble Topological Structure (IFFTS) and Intuitionistic Fuzzy Modal Feeble Topological Structure (IFMFTS) are introduced. It is proved that the two extended intuitionistic fuzzy topological operators ${\mathcal{C}^{\varepsilon ,\eta }}$ and ℐ^ε,η generate IFFTSs, and together the two standard intuitionistic fuzzy modal operators □ and ♢ they generate IFMFTSs. Some basic properties of these structures are discussed.