摘要
R0-代数与BL-代数在模糊逻辑的研究中有重要作用,这与布尔代数在经典逻辑中的作用类似。本文通过一个特殊集x?1F分别给出R0?代数及BL-代数素滤子的一个等价条件,并给出BL-代数的一个新性质。应用这些结果分别得到R0-代数与BL-代数的素滤子定理。
R0-algebras and BL-algebras play important role in the study of fuzzy logic, these similar to the one of Boolean algebras for classical logic. In this paper, using a special set x^-1F, we give n equivalent condition for a MP-filter （filter） to be prime filter in R0-algebras （BL-algebras）. Also a new property of BL-algebra is obtained. Applying these results, we provide the prime filter theorem in Ro-algebras and BL-algebras respectively.
出处
《工程数学学报》
CSCD
北大核心
2005年第5期935-938,共4页
Chinese Journal of Engineering Mathematics
基金
Foundation item: Ningbo Youth Science Fund (2005A620032) and the Research Foundation of NingboUniversity.
作者简介
Zhang Xiaohong （Born in 1965）, Male, professor, engages in algebras, logic and artificial intelligence.
