基于泛系粗糙集等价算子上的粒计算模型(英文)

A Model of Granular Computing Based on Equivalent Operator of Pansystems of Rough Sets

标准粗糙集使用等价类作为粒来描述概念。本文弱化对等价关系的要求,将更广泛的粒计算模型建立到泛系粗糙集上去。本文通过对全域的分割和覆盖来诱导出泛系粗糙集上的粒计算模型。

In this paper, we propose a model of granular computing on pansystems of rough set. By weakening the requirement of equivalent relations, we can have more general granulations based on pansystems of rough set theory. The pansystems of rough set theory uses common binary relation as granules to describe concepts. First, the text depicts how to use the operators of pansystems to convert common relation into equivalent relation. Then granulated views induced by a partition of the universe and a covering of different levels in the granular structure. This text is put forward to expand the range of application of rough sets, and provide ideas for dealing with the problems of uncertain information, enable the pansystems theory and rough sets theory to combine effectively.