Computer Science ›› 2016, Vol. 43 ›› Issue (4): 206-209.doi: 10.11896/j.issn.1002-137X.2016.04.042

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Fuzzy 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.In this paper,on the one hand,we discussed the classical fuzzy rough set algebra of multi-granulation by axiomatic approach.It is shown that the classical fuzzy rough set algebra do not obsess good properties.On the other hand,we defined the concept of equivalence relations with minimum (maximum) element.Moreover,multi-granulation fuzzy appro-ximation operators based on equivalence relations with minimum (maximum) element were defined.We discussed the properties of the fuzzy rough set algebra based on equivalence relations with minimum (maximum) element and got many excellent results.

Key words: Multi-granulation,Fuzzy rough set algebra,Equivalence relation with minimum (maximum) element,Approximation operators

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