中文摘要：

在双极值模糊软集理论的基础上，给出了双极值模糊（反）软子群的概念，讨论了它们的一些相关性质及等价刻画。提出了双极值模糊软映射下双极值模糊软集的像与原像的概念，并研究了双极值模糊软同态下双极值模糊（反）软子群的同态像与原像的初等性质。

英文摘要：

The notions of bipolar-value fuzzy（anty-）soft subgroups based on the theory of bipolar-value fuzzy soft sets are given and several related properties and equivalent characterizations are discussed. Furthermore, the definitions of image and preimage of a bipolar-value fuzzy soft set are introduced and some preliminary properties of the image and preimage of a bipolar-value fuzzy（anty-）soft subgroup under a bipolar-value fuzzy soft homomorphism are investigated.