On Intuitionistic Fuzzy Filters of Intuitionistic Fuzzy Coframes

الملخص EN

Frame theory is the study of topology based on its open set lattice, and it was studied extensively by various authors.

In this paper, we study quotients of intuitionistic fuzzy filters of an intuitionistic fuzzy coframe.

The quotients of intuitionistic fuzzy filters are shown to be filters of the given intuitionistic fuzzy coframe.

It is shown that the collection of all intuitionistic fuzzy filters of a coframe and the collection of all intutionistic fuzzy quotient filters of an intuitionistic fuzzy filter are coframes.