JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2026, Vol. 61 ›› Issue (1): 85-93.doi: 10.6040/j.issn.1671-9352.0.2024.035

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Fuzzy rough set model based on type-2 fuzzy preorders

ZHANG Guangxu1, YAO Wei2   

  1. 1. School of Mathematics and Physics, Nanjing Institute of Technology, Nanjing 211167, Jiangsu, China;
    2. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, Jiangsu, China
  • Published:2026-01-15

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Abstract: Based on the fundamental structure of type-2 fuzzy preorders, fuzzy rough sets are investigated, and a pair of fuzzy upper and lower approximation operators are defined. Furthermore, their properties and interrelations are explored. It is shown that upper definable sets and lower definable sets are equivalent. Definable sets form a stratified Alexandrov fuzzy topology such that the upper and lower approximation operators are the related closure and interior operators respectively.

Key words: type-2 fuzzy preorder, fuzzy rough set, fuzzy upper/lower approximation operator, definable set, Alexandrov fuzzy topology

CLC Number: 

  • O181
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