粒集的提升及其描述

The Upgrade of Granular Set and Its Description

本文在作者提出的粒计算新模型——粒集理论的基础上,分别通过把映射向幂集上提升、把映射由单向性向双向性提升的做法,提出了对象粒簇、描述粒簇和粒系统等概念,并对它们分别进行了描述,其中粒系统的描述是五元组形式,即是(U,D,L,H,J),这里U是论域,D是描述域,L是由2U到2D的算子,H是由2D到2U的算子,J是算子L和H的约束。由此扩充了粒集理论的内容,完善了粒集理论。

This paper,based on the author s new model of granular computing——the theory of granular set,puts forward the concept of object granular family,description granular family,granular system,through upgrading the mapping to the Power Set and mapping from one-way to two-way.And,they are described respectively,the concept of which is the description of granular system in the form of five-tuple array,that is,(U,D,L,H,J),where U is the universe of the problem discussed,D describes all the elements in U,L is the op...