然后根据扩张原理，在模糊集乘积同态、同构映射的条件下，研究模糊集乘积与模糊集乘积同态像之间的关系。
Then, based on the extension principle, the relations between fuzzy sets product and the homomorphic images of the fuzzy sets product are studied.
利用模糊映射，给出群的模糊同态的概念，并得到模糊同态基本定理。
The concept of fuzzy homomorphism of groups is introduced based on the fuzzy mapping and the fundamental theorem of fuzzy homomorphism is given.
对同态映射下环中近似集合的变化规律进行了讨论，得到了粗糙子环、粗糙理想同态象的若干性质。
The properties of the homomorphic images of rough subrings and rough ideals are obtained by discussing the variation of approximation operators under homomorphic mapping in the ring.
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