Distributive Fuzzy Implication Algebra
WU Hong-bo · Mohu xitong yu shuxue · 2008
In this paper, at first it gives the definition of Distributive Fuzzy Implication Algebra and its properties were discussed. It is proved that the Distributive Fuzzy Implication Algebra, Boole Algebra and Regular HFI Algebra are equivalent to each other, and Fuzzy Implication Algebra is BL Algebra.At last,some conditions when a FI Algebra come to be a Boole Algebra are discussed.