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模糊半群上的模糊内理想
引用本文:彭家寅.模糊半群上的模糊内理想[J].内江师范学院学报,2001,16(4):5-10.
作者姓名:彭家寅
作者单位:内江师范学院数学系,四川,内江,641100
摘    要:本文采用Dib(1994)引入的模糊空间和模糊群的新方法,引入模糊半群上模糊内理想和普通上半模糊内理想导出的模糊内理想的概念,讨论了模糊内理与模糊理想,经典模糊内理想的关系,并给出了两个反例。

关 键 词:模糊空间  模糊半群  模糊理想  模糊内理想

Fuzzy interior ideals in fuzzy semigroups
Peng Jiayin.Fuzzy interior ideals in fuzzy semigroups[J].Journal of Neijiang Teachers College,2001,16(4):5-10.
Authors:Peng Jiayin
Abstract:In this paper ,we introduce the concepts of fuzzy interior ideal in fuzzy semigroup and fuzzy interior ideal includes the (classical) concept of fuzzy interior ideals of ordinary semigroup,through the new approach of fuzzy space and fuzzy group introduced by Dib (1994).The relations between the introduced fuzzy interior ideals and one of the fuzzy ideals and the classical fuzzy interior ideals are discussed. Two counterexampls are alsa given.
Keywords:Fuzzy space  Fuzzy  semigroup  Fuzzy  ideal  Fuzzy  interior  ideals
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