中文摘要：

给出了广义模糊子半环的广义模糊双（内）理想的概念.运用截集、模糊子集的和与积得到了广义模糊子半环的广义模糊双（内）理想的等价条件及性质,同时还得到了在半环的同态映射下同态像及同态原像的性质.当λ=0,μ=1时,得到一般意义下的模糊子半环的模糊双（内）理想的相应结果.

英文摘要：

The definitions of generalized fuzzy bi-ideals （resp.interior ideals） in generalized fuzzy subsemirings are introduced.Using level subsets,eigenfunctions,sum and product of fuzzy subsets,the equivalent conditions and the properties of generalized fuzzy bi-ideals （resp.interior ideals） in generalized fuzzy subsemirings are investigated.Otherwise,the properties of homomorphic image and homomorphic preimage in a homomorphism of semirings are shown.Whenλ =0,μ =1,we get the corresponding results of ordinary fuzzy bi-ideals （resp.interior ideals） in fuzzy subsemirings.