Qian Li, Xiaolong Xin
Abstract
研究模糊同态,自然离不开模糊映射,群与环的模糊同态分别利用了不同的模糊映射进行讨论.利用经典集间的模糊映射,引入了格的模糊同态和模糊弱同态概念,给出了模糊同态与模糊弱同态下模糊子格(模糊理想)的对应关系,并由模糊同态得到了格的理想,建立了格的同构映射,基于模糊同态所确定的映射等价刻画了模糊子格的弱(满)同态.
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研究模糊同态,自然离不开模糊映射,群与环的模糊同态分别利用了不同的模糊映射进行讨论.利用经典集间的模糊映射,引入了格的模糊同态和模糊弱同态概念,给出了模糊同态与模糊弱同态下模糊子格(模糊理想)的对应关系,并由模糊同态得到了格的理想,建立了格的同构映射,基于模糊同态所确定的映射等价刻画了模糊子格的弱(满)同态.
Key concepts: Homomorphism, Lattice (music), Fuzzy logic, Computer science, Algebra homomorphism, Mathematics, Discrete mathematics, Physics