决策系统基于特定决策类的上近似约简

南京大学学报(自然科学版) ›› 2018, Vol. 54 ›› Issue (4): 804–.

决策系统基于特定决策类的上近似约简

敬思惠，秦克云*

出版日期:2018-04-30
作者简介:西南交通大学数学学院，成都，611756
基金资助:
基金项目：国家自然科学基金(61473239) 收稿日期：2018－05－20 *通讯联系人，E－mail：keyunqin@263.net

The upper approximation reduction of decision system based on specific decision classes

Jing Sihui，Qin Keyun*

Online:2018-04-30
About author:School of Mathematics，Southwest Jiaotong University，Chengdu，611756，China

摘要/Abstract

摘要： 决策系统针对特定概念的约简相对于整体约简可以获得更简洁的决策规则. 借助粗糙上近似算子，提出决策系统针对特定决策类的上近似约简概念，针对这种约简标准给出了需要区分对象的条件，借助区分函数给出了约简计算方法；刻画了保持所有决策类上近似不变的分配约简、基于特定对象的分配约简以及针对特定决策类的上近似约简之间的相互关系. 可以通过分配约简构造基于特定对象的分配约简以及针对特定决策类的上近似约简，也可以通过针对特定决策类的上近似约简构造基于特定对象的分配约简．

Abstract: In decision system，with respect to global attribute reduction，the reduction based on specific decision class can reveal more compact decision rules. Based on upper approximation operators，the notion of upper approximation attribute reduction of specific decision class is proposed. The discernibility conditions between objects with respect to this reduction criteria are presented and the reduction approach is proposed by using discernibility functions. The relationships among assignment reduction，upper approximation attribute reduction of specific decision class and upper approximation attribute reduction of specific object are surveyed. It is possible to derive an upper approximation attribute reduction of specific decision class and an upper approximation attribute reduction of specific object from a assignment reduction，as well as to derive an upper approximation attribute reduction of specific object from an upper approximation attribute reduction of specific decision class.

敬思惠，秦克云*. 决策系统基于特定决策类的上近似约简[J]. 南京大学学报(自然科学版), 2018, 54(4): 804–.

Jing Sihui，Qin Keyun*. The upper approximation reduction of decision system based on specific decision classes[J]. Journal of Nanjing University(Natural Sciences), 2018, 54(4): 804–.

参考文献

[1]　Pawlak Z. Rough set. International Journal of Computer & Information Sciences，1982，11(5)：341－356. [2] Pawlak Z. Rough set：Theoretical aspects of reasoning about data. Netherlands：Kluwer Academic Publishers，1991，225. [3] 张文修，吴伟志，梁吉业等. 粗糙集理论与方法. 北京：科学出版社，2001，224. [4] 刘　清. Rough集及Rough推理. 北京：科学出版社，2001，242. [5] Skowron A，Rauszer C. The discernibility matrices and functions in information systems ∥ Sowiński R. Intelligent Decision Support. Dordrecht：Springer，1992：331－362. [6] Kryszkiewicz M. Comparative study of alternative types of knowledge reduction in inconsistent systems. International Journal of Intelligent Systems，2001，16(1)：105－120. [7] 秦克云，赵　华，裴　峥. 基于广义不可区分关系的决策表约简. 西华大学学报(自然科学版)，2013，32(4)：1－4，36.(Qin K Y，Zhao H，Pei Z. The reduction of decision table based on generalized indiscernibility relation. Journal of Xihua University?Natural Science，2013，32(4)：1－4，36.) [8] Pawlak Z，Sowiński R. Rough set approach to multi－attribute decision analysis. European Journal of Operational Research，1994，72(3)：443－459. [9] Zhang W X，Mi J S，Wu W Z. Approaches to knowledge reductions in inconsistent systems. International Journal of Intelligent Systems，2003，18(9)：989－1000. [10] 王国胤，于　洪，杨大春. 基于条件信息熵的决策表约简. 计算机学报，2002，25(7)：759－766.(Wang G Y，Yu H，Yang D C. Decision table reduction based on conditional information entropy. Chinese Journal of Computers，2002，25(7)：759－766.) [11] Qin K Y，Jing S H. The attribute reductions based on indiscernibility and discernibility relations ∥ Proceedings of 2017 International Joint Conference on Rough Sets. Springer Berlin Heidelberg，2017：306－316. [12] Yao Y Y，Zhang X Y. Class－specific attribute reducts in rough set theory. Information Sciences，2017，418－419：601－618. [13] Liu G L，Hua Z，Zou J Y. Local attribute reductions for decision tables. Information Sciences，2018，422：204－217. [14] 翟翠红. 决策表中基于对象的属性约简方法研究. 硕士学位论文. 成都：西南交通大学，2014.(Zhai C H. The study of attribute reduction for objects in the decision tables. Master Dissertation. Chengdu：Southwest Jiaotong University，2014.)

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