【摘要】 引入BL-代数的n-重模糊蕴涵滤子概念,讨论了n-重模糊蕴涵滤子的性质,给出若干等价刻画,给出了验证n-重模糊蕴涵滤子的一个简单条件。用n-重模糊蕴涵滤子对n-重蕴涵BL-代数进行了刻画,证明了一个模糊滤子是一个n-重模糊蕴涵滤子当且仅当对应的商代数是一个n-重蕴涵BL-代数。更多还原

【Abstract】 The notion of n-fold fuzzy implicative filter of a BL-algebra is introduced and some properties of a n-fold fuzzy implicative filter are investigated, several equivalent conditions of a n-fold fuzzy implicative filter are also given.At the same time, a simple condition to verify whether or not a fuzzy filter is a n-fold fuzzy implicative filter is also given.Furthermore, it is proved that n-fold implicative BL-algebra is characterized by a n-fold fuzzy implicative filter and a fuzzy filter is a n-fold fuzzy implicative filter if and only if the corresponding quotient is a n-fold implicative BL-algebra.更多还原