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山东大学学报 (工学版) ›› 2022, Vol. 57 ›› Issue (5): 11-19.doi: 10.6040/j.issn.1671-9352.4.2021.014

• • 上一篇    

基于参数粒的广义多粒度粗糙集

孙文鑫1,刘玉锋2   

  1. 1.重庆水利电力职业技术学院, 重庆 402160;2.重庆城市科技学院, 重庆 402160
  • 发布日期:2022-06-21
  • 作者简介:孙文鑫(1988— ),女,硕士,讲师,研究方向为为粗糙集和模糊集.E-mail:sunxuxin520@163.com
  • 基金资助:
    重庆市教委科学技术研究计划项目(KJQN202003806)

Generalized multi-granularity rough sets based on parameter granular

SUN Wen-xin1, LIU Yu-feng2   

  1. 1. Chongqing Water Resources and Electric Engineering College, Chongqing 402160, China;
    2. Chongqing Metropolitan College of Science and Technology, Chongqing 402160, China
  • Published:2022-06-21

摘要： 针对信息源对同一问题或决策干扰程度不同时信息粒的获取问题,提出了一种用参数获取信息粒的方法。首先给出了计数函数、参数粒、参数支撑函数的定义;其次通过参数支撑函数构建了2种广义多粒度参数粒粗糙集模型,并讨论了广义多粒度参数粒粗糙集上、下近似算子的性质,给出了Ⅰ型广义多粒度参数粒粗糙上近似算子的算法;再次,通过定义2种广义多粒度参数粒的精确度和粗糙度讨论了这2种广义多粒度参数粒粗糙集的度量问题;另外,通过商品分类的例子说明了模型的有效性;最后通过实验数据分析,发现参数越大,Ⅰ型广义多粒度参数粒的精确度越高。

关键词: 信息系统, 广义多粒度, 粗糙集, 参数粒, 度量

Abstract: A method of obtaining information granules by parameters is proposed aiming at the problem of obtaining information granule when information source interferes with the same problem or decision-making differently. Firstly, the definitions of counting function, parameter granule and parameter support function are given. Secondly, two kinds of generalized multi-granularity parameter granular rough set models are constructed by parameter support function, and the properties of upper and lower approximation operators of generalized multi granularity parameter granular rough set are discussed. The algorithm of upper approximation operator of type Ⅰ generalized multi-granularity parameter granular rough set is given. Thirdly, the measurement of two kinds of generalized multi-granularity parameter granule rough sets is discussed by defining the accuracy and roughness of two kinds of generalized multi-granularity parameter granule. In addition, an example is given to show the effectiveness of the model. Finally, through the analysis of experimental data, it is found that the larger the parameter is, the higher the accuracy of type Ⅰ generalized multi-granularity parameter is.

Key words: information system, generalized multi-granularity, rough set, parameter granular, measurement

中图分类号: 

  • TP18
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