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Properties and axiomatization of fuzzy rough sets based on fuzzy covering | IEEE Conference Publication | IEEE Xplore

Properties and axiomatization of fuzzy rough sets based on fuzzy covering


Abstract:

Some expanded fuzzy rough sets models have been investigated to handle fuzzy databases with uncertain, imprecise and incomplete real-valued information. In this paper, we...Show More

Abstract:

Some expanded fuzzy rough sets models have been investigated to handle fuzzy databases with uncertain, imprecise and incomplete real-valued information. In this paper, we make further research on fuzzy rough sets models in fuzzy environment, and we generalize rough fuzzy sets model based on a covering to fuzzy rough sets model based on a fuzzy covering. The lower and upper approximations of fuzzy subsets are defined based on a fuzzy covering, and basic properties are investigated. Then, the axiom definition of the lower approximation operator is given. It is shown that the rough fuzzy sets model based on a covering is a special instance of the fuzzy rough sets model based on a fuzzy covering.
Date of Conference: 15-17 July 2012
Date Added to IEEE Xplore: 24 November 2012
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Conference Location: Xi'an, China

References

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