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.

本工作的目的是介绍和研究识别给定 IT2 模糊语言的区间类型 2 (IT2) 模糊语法的概念。讨论了IT2模糊自动机与IT2模糊（弱）正则文法之间的关系。具体来说，我们这里得到的结果是 ( i ) IT2 模糊弱正则文法和 IT2 模糊正则文法生成相同类别的 IT2 模糊语言 ( ii)) 对于给定的 IT2 模糊正则文法，存在一个 IT2 模糊自动机，使得它们接受相同的 IT2 模糊语言，反之亦然。此外，我们定义了一些对IT2模糊语言的操作，结果表明IT2模糊自动机识别的IT2模糊语言在并、交、连接和Kleene闭包运算下是封闭的，而在补集下不封闭。