基于信息系统的粒度计算机理研究

Mechanism of Granular Computing Based on Information System

基于信息系统建立决策逻辑代数系统和论域的拓扑代数系统,并找到它们之间的关系定理.利用这两个代数系统建立粒度世界的三元模型.然后,基于该粒度世界模型通过对概念学习、规则获取的分析从理论上研究粒度计算的机理.同时,各种粒度计算方法在该模型中得到一致的解释,在一定程度上完成粒集合运算和粒描述演算(决策逻辑演算)的统一.

Algebraic system of decision logic and topological algebraic system of universe are set up based on information system. Then relation theorem of the two systems is discovered. With the two algebraic systems, granular world models are established, in which the mechanism of granular computing （GrC） is studied by analyzing concept learning and rule acquiring. In the meantime, the model provides coherent explanation of all granular computing methods, which leads to unification of set based granular calculation and decision logic based granular calculation to some degree.