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粗糙反模糊子群的同态

Homomorphism of Rough Anti Fuzzy Subgroup
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摘要 将反模糊子群推广到粗糙反模糊子群及反模糊商群,讨论了在同态意义下的反模糊子群的的结构.证明了反模糊子半群和粗糙反模糊子群都与自己的商结构同态,得到了几个同态定理. Anti fuzzy subgroup is extended to rough anti fuzzy subgroup and its quotient group. Discussed the structure of anti-fuzzy subgroup in the sence of homomorphism. It is proved that anti-fuzzy subgroup and rough anti-fuzzy subgroup are homomorphis to their structures. Several homomorphism theorems are obtained.
作者 张宗杰
出处 《佳木斯职业学院学报》 2015年第11期288-289 228,228,共3页 Journal of Jiamusi Vocational Institute
关键词 反模糊子群 同余关系 粗糙反模糊子群 反模糊子群的商群 同态 同构 Anti-fuzzy Subgroup Congruence relation Rough Anti-fuzzy Subgroup Quotient Group of anti-fuzzy Subgroup Homomorphism Isomorphism
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参考文献3

  • 1Nobuaki Kuroki.Rough ideals in semigroups[J]. Information Sciences . 1997 (1)
  • 2Didier Dubois,Henri Prade.ROUGH FUZZY SETS AND FUZZY ROUGH SETS*[J]. International Journal of General Systems . 1990 (2-3)
  • 3Rough sets[J]. International Journal of Computer & Information Sciences . 1982 (5)

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