在Fuzzy蕴涵代数(简称FI代数)上引入了MP理想与正规MP理想的概念并给出了它们的等价刻画;探讨了FI代数的MP理想、偏序理想和正规MP理想间的多种关系,证明了一个正则FI代数是可交换FI代数当且仅当它的每个MP理想都是正规理想,也当且仅当{0)是正规MP理想。
In this paper, the concepts of MP-ideals and normal MP-ideals in Fuzzy implication algebras (in short, FI-algebras) are introduced. Characterizations of MP-ideals and normal MP-ideals are given.Relations of MP-ideals, partial ordering related ideals and normal MP-ideals are discussed. It is proved that an FI-algebra is commutative iff its MP-ideals are normal iff {0 } is a normal MP-ideal.