This paper extends the concept of generalized equivalence relation on type-2 fuzzy set and presents a comprehensive study of type-2 fuzzy G-equivalence relation. Notions like partition of a type-2 fuzzy G-equivalence relation, type-2 fuzzy balance mappings in the type-2 fuzzy set theory are introduced and related theorems are discussed.

中文翻译：

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广义2型模糊等价关系

本文扩展了关于2型模糊集的广义等价关系的概念，并对2型模糊G等价关系进行了全面的研究。介绍了类型2模糊集理论中的类型2模糊G等价关系的划分，类型2模糊平衡映射等概念，并讨论了相关定理。