Fuzzy Riesz空间上的Fuzzy Riesz同态
Fuzzy Riesz homomorphism on fuzzy Riesz space
摘要：
本文给出了Fuzzy Riesz空间上Fuzzy Riesz同态的一些性质。给出了模糊商空间的定义，并给出了模糊阿基米德商空间的一些特征.证明了Fuzzy Riesz同态是Fuzzy序连续的性质，研究了Fuzzy格同态的扩张和Fuzzy序连续格同态的扩张.最后，我们研究了模糊Riesz同态的因子分解。
英文摘要：
In this paper, we give some properties of fuzzy Riesz homomorphism on fuzzy Riesz space. We give definitions of fuzzy quotient spaces, and some characterizations of fuzzy Archimedean quotient spaces. We prove the properties which fuzzy Riesz homomorphism is fuzzy order continuous, and study the extension of fuzzy lattice homomorphism and the extension of fuzzy order continuous lattice homomorphism. Finally, we investigate the factorization by fuzzy Riesz homomorphisms.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
