广义近似空间与粗糙分类代数

刘永红

中国工程科学 ›› 2006, Vol. 8 ›› Issue (3) : 39-48.

PDF(5544 KB)
PDF(5544 KB)
中国工程科学 ›› 2006, Vol. 8 ›› Issue (3) : 39-48.
学术论文

广义近似空间与粗糙分类代数

  • 刘永红

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Approximation Space of Generalization and Rough Classification Algebra

  • Liu Yonghong

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摘要

提出了广义近似空间、粗近似公理、干扰集公理、粗糙集的分类原则、粗选原则、不确定偶集原则、精选原则、对策分类、量子逻辑分类、bit量子对称分类、不可比集、bit空间集、协议关系、粗糙集函数、粗糙分类代数和粗糙单代数等基本概念,并提出了一个猜想;展示了一些新观点;基于协议关系构造了粗糙商代数和粗糙子代数,给出了回避-归并算法及算例。

Abstract

Some new basic concepts are proposed in this paper, including the approximation space of generalization, rough approximation axiom, disturbance set axiom, classification principle of rough set, principle of nondeterministic even set, principle of concentration, game classification, quantum logic classification, bit quantum symmetric classification, incomparable set, bit space set, protocol relation, rough set function of protocol relation, rough classification algebra, rough simple algebra, etc. , and a guess is also proposed. The mathematics viewpoints of knowledge are shown. Based on the protocol relation, the rough quotient algebra and the rough subalgebra are constructed. The avoidance-merge algorithm (A - M algorithm) is presented and an example is given.

关键词

广义近似空间 / 粗糙集 / 粗糙分类代数 / 协议关系 / 粗糙单代数 / 粗糙商代数 / 粗糙子代数

Keywords

approximation space of generalization / rough set / rough classification algebra / protocol relation / rough simple algebra / rough quotient algebra / rough subalgebra

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刘永红. 广义近似空间与粗糙分类代数. 中国工程科学. 2006, 8(3): 39-48

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