给出了Fuzzy蕴涵代数的MP滤子的性质和等价刻画;讨论了(正则)Fuzzy蕴涵代数中MP滤子与MP理想、正规MP滤子与正规MP理想的关系.证明了在正则FI代数中,一个子集是(正规)MP理想当且仅当它的对偶是(正规)MP滤子.构造反例说明在一般FI代数中MP理想和MP滤子不必对偶.
In this paper, further properties and characterizations of MP-filters of fuzzy implication algebras (in short, FI-algehras) are given. The notion of normal MP-filters in FI-algebras is introduced. Characterizations of MP-filters and normal MP-filters are estabilished. Relations of (normal) MP-filters and (normal) MP-ideals are obtained. It is proved that in a regular FI-algebra, a subset is a (normal) MP-filters iff its dual is a (normal) MP-ideal. A counterexample is constructed to show that MP-filters and MP-ideals needn't be dual in general.