JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (10): 15-19.doi: 10.6040/j.issn.1671-9352.0.2020.121

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Upper(Lower)approximation based on congruence on free semilinear spaces

LI Xiao-chao   

  1. School of Mathematics and Statistics, Huanghuai University, Zhumadian 463000, Henan, China
  • Online:2020-10-20 Published:2020-10-07

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Abstract: This paper introduces the ideas of rough sets into semilinear spaces. Firstly, based on the subspace of free semilinear space, the congruence relationship is defined, and the properties of congruence classes are given. Next, the upper(lower)approximation of congruence of non empty subsets in free semilinear space is defined, and some properties of the upper(lower)approximation are studied. Lastly, the rough subspaces and quotient spaces of free semilinear spaces are studied.

Key words: semilinear space, congruence, subspace, upper(lower)approximation

CLC Number: 

  • TP18
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