The concepts of fuzzy semiideal and fuzzy quotient ring is introduced and some properties of fuzzy semiideal are discussed. At last, several correspondence theorems for fuzzy semiideals are established.

• 摘要引入模糊半理想与模糊商环的概念，讨论了模糊半理想的一系列性质，并建立了关于模糊半理想的对应定理。