关键词: 双极值模糊软集, 双极值模糊软子群, 双极值模糊正规软子群, 双极值模糊软同态

Abstract: The equivalent characterizations of bipolar-value fuzzy soft subgroup are investigated. The concept of bipolar-value fuzzy normal soft subgroup based on the bipolar-value fuzzy soft subgroup is introduced and in the meantime, some of its properties and equivalent characterizations are discussed. Furthermore, the theorems of soft homomorphic image and pre-image of bipolar-value fuzzy normal soft subgroup are given.

Key words: bipolar-value fuzzy soft set, bipolar-value fuzzy soft subgroup, bipolar-value fuzzy normal soft subgroup, bipolar-value fuzzy soft homomorphism