Abstract: Function P-sets is the function form of P-sets, which has the dynamic and law characteristics. Function P-sets is a dynamic law model. Function P-sets is a set pair composed of function internal P-set S and function outer P-set SF, or (S, SF) is function P-sets. P-information law reasoning is obtained by introducing function concept into P-reasoning and improving it. P-information law reasoning is a dynamic information law reasoning, which is presented by using P-sets. P-information law reasoning is composed of internal P-information law reasoning and outer P-information law reasoning. By using the intersection and osmosis of function P-sets and P-information law reasoning, the studies about P-information law intelligent fusion and soft information image intelligent generation are given, which are P-information law reasoning structure, P-information law intelligent fusion and its P-information law reasoning generation, intelligent fusion redundance-deletion and attribute internal-outer fusion characteristic, P-information law intelligent fusion and its expansion-contraction theorem of attribute conjunction normal form, the intelligent P-separation and reduction of P-information law intelligent fusion, split-synthesis of information law and soft information image intelligent generation. Function P-sets is a novel method and theory studying information law fusion.

Key words: function P-sets, attribute conjunction, soft information image intelligent generation, information law intelligent fusion, information law split-synthesis principle, P-information law reasoning