| Summary: | The purpose of the present work is to introduce and study the concept of interval
type-2 (IT2) fuzzy grammar which recognizes the given IT2 fuzzy languages. The
relationship between IT2 fuzzy automata and IT2 fuzzy (weak) regular grammars is
discussed. Specifically, the results we obtained here are (i ) IT2 fuzzy weak regular
grammar and IT2 fuzzy regular grammar generate the same classes of IT2 fuzzy
languages (ii ) for a given IT2 fuzzy regular grammars, there exists an IT2 fuzzy
automata such that they accept the same IT2 fuzzy languages, and vice versa. In
addition, we define some operations on IT2 fuzzy languages and it is shown that IT2
fuzzy languages recognized by IT2 fuzzy automata are closed under the operations
of union, intersection, concatenation and Kleene closure, but are not closed under
complement.
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