中文摘要：

函数P-集合是P-集合的函数形式，函数P-集合具有动态特性、规律（函数）特性；函数P-集合是一个动态规律模型。函数P-集合是由函数内P-集合SF珔与函数外P-集合SF 构成的函数集合对；或者，（SF珔，SF）是函数P-集合。P-信息规律推理是把函数概念引入到P-推理内，改进P-推理得到的；P-信息规律推理是一个动态信息规律推理；P-推理是利用P-集合被提出的。 P-信息规律推理是由内P-信息规律推理与外P-信息规律推理共同构成。利用函数P-集合与P-信息规律推理交叉、渗透，本文研究了P-信息规律智能融合与软信息图像智能生成。给出P-信息规律推理结构，给出P-信息规律智能融合与它的P-信息规律推理生成；给出智能融合冗余-缺失与属性内-外融合特性；给出P-信息规律智能融合与它的属性合取范式扩展-收缩定理；给出P-信息规律智能融合的智能P-分离与还原；给出信息规律的拆分-合成与软信息图像智能生成。函数P-集合是研究信息规律融合的新方法与新理论。

英文摘要：

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 SF and function outer P-set SF , or （ SF , 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-in-formation 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.