JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (11): 81-89.doi: 10.6040/j.issn.1671-9352.0.2018.674

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MV-algebra valued metric-based fuzzy rough sets

XIONG Xing-guo1, LU Ling-xia2*   

  1. 1. School of Social Science, Hebei GEO University, Shijiazhuang 050018, Hebei, China;
    2. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, Jiangsu, China
  • Published:2019-11-06

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Abstract: MV-algebra valued metric-based fuzzy rough set model is defined. The interrelations between -hemimetrics and the standard real valued hemimetrics are investigated. It is shown that -hemimetrics and -similarities are equivalent to each other. The properties of fuzzy rough approximation operators and the related definable sets are studied.

Key words: MV-algebra, -hemimetric, -similarity, fuzzy rough approximation operator, definable set

CLC Number: 

  • O159
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