ISSN 1000-1239 CN 11-1777/TP

• 人工智能 •

### 粒化单调的条件邻域熵及其相关属性约简

1. 1(College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610068）; 2(College of Computer, Civil Aviation Flight University of China, Guanghan, Sichuan 618307）; 3(Institute of Intelligent Information and Quantum Information, Sichuan Normal University, Chengdu 610068)
• 出版日期: 2018-11-01
• 基金资助:
国家自然科学基金项目(61673285,61203285,11671284)；高等学校博士学科点专项科研基金项目(20135134110003)；四川省科技计划项目(2017JY0197,2017JQ0046)

### Conditional Neighborhood Entropy with Granulation Monotonicity and Its Relevant Attribute Reduction

Zhou Yanhong1,2,3, Zhang Xianyong1,3, Mo Zhiwen1,3

1. 1(四川师范大学数学与软件科学学院 成都 610068）; 2(中国民用航空飞行学院计算机学院 四川广汉 618307）; 3(四川师范大学智能信息与量子信息研究所 成都 610068) (zhouyanhong515@163.com)
• Online: 2018-11-01

Abstract: In the neighborhood rough sets, the attribute reduction based on information measures holds fundamental research value and application significance. However, the conditional neighborhood entropy exhibits granulation non-monotonicity, so its attribute reduction has the research difficulty and application limitation. Aiming at this issue, by virtue of the granular computing technology and its relevant three-layer granular structure, a novel conditional neighborhood entropy with granulation monotonicity is constructed, and its relevant attribute reduction is further investigated. At first, the granulation non-monotonicity and its roots of the conditional neighborhood entropy are revealed; then, the three-layer granular structure is adopted to construct a new conditional neighborhood entropy by the bottom-up strategy, and the corresponding granulation monotonicity is gained; furthermore, relevant attribute reduction and its heuristic reduction algorithm are studied, according to this proposed information measure with the granulation monotonicity; finally, data experiments based on the UCI (University of CaliforniaIrvine) machine learning repository are implemented, and thus they verify both the granulation monotonicity of the constructed conditional neighborhood entropy and the calculation effectiveness of the related heuristic reduction algorithm. As shown by the obtained results, the established conditional neighborhood entropy has the granulation monotonicity to improve the conditional neighborhood entropy, and its induced attribute reduction has broad application prospects.