Computer Science ›› 2016, Vol. 43 ›› Issue (2): 68-71.doi: 10.11896/j.issn.1002-137X.2016.02.015

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Rough Set Algebra of Multi-granulation

KONG Qing-zhao and WEI Zeng-xin   

  • Online:2018-12-01 Published:2018-12-01

Abstract: It is well known that a rough set algebra is a set algebra with added dual pair of rough approximation operators.On the one hand,we discussed the classical rough set algebra of multi-granulation by axiomatic approach.It is shown that the classical rough set algebra does not possess good properties.On the other hand,we defined the concept of monotone equivalence relations.Moreover,multi-granulation approximation operators based on monotone equivalence relations were defined.We discussed the properties of the rough set algebra based on monotone equivalence relations and got many excellent results.

Key words: Multi-granulation,Rough set algebra,Monotone equivalence relation,Approximation operators

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