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中文摘要：
引入了反模糊半群及反模糊半群补的定义，获得了反模糊半群补的充要条件；在给出保值模糊映射的基础上，证明了反模糊半群和正规反模糊半群的同态不变性．继而，引入了半群的反模糊（左、右、双、内禀）理想的定义，得到了反模糊（左、右、双、内禀）理想的充要条件和反模糊（左、右、双、内禀）理想在保值模糊映射下的同态不变性．
英文摘要：
The definition of anti - fuzzy semigroups and anti - fuzzy semigroup ＇s complement is introduced, and the sufficient and necessary condition of the existence of the anti - fuzzy semigroup＇s complement is obtained. Based on the definition of value - keeping fuzzy mappings in semigroups, the paper proves invariance of the ho- momorphism of anti - fuzzy semigroups and normal anti - fuzzy semigroups. Furthermore, the definition of anti - fuzzy （ left, right, bilateral or within） ideals is introduced, and the sufficient and necessary condition of the exist- ence of the anti - fuzzy （ left, right, bilateral or within） ideal is achieved. Finally, the paper discusses invariance of the homomorphism of anti - fuzzy （ left, right, bilateral or within） ideal under the condition of the homomorphic mapping.
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