JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (5): 11-19.doi: 10.6040/j.issn.1671-9352.4.2021.014

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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:2022-05-27

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

CLC Number: 

  • TP18
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