CAJ | 학술논문

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。
인입BL-대수적n-중모호온함려자개념，토론료n-중모호온함려자적성질，급출약간등개각화，급출료험증n-중모호온함려자적일개간단조건。용n-중모호온함려자대n-중온함BL-대수진행료각화，증명료일개모호려자시일개n-중모호온함려자당차부당대응적상대수시일개n-중온함BL-대수。
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.