A semantically sound approach to Pawlak rough sets and covering-based rough sets

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A semantically sound approach to Pawlak rough sets and covering-based rough sets

Article history: Received 2 February 2016 Received in revised form 13 May 2016 Accepted 27 June 2016 Available online 1 July 2016

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Many researchers have combined rough set theory and fuzzy set theory in order to easily approach problems of imprecision and uncertainty. Covering-based rough sets are one of the important generalizations of classical rough sets. Naturally, covering-based fuzzy rough sets can be studied as a combination of covering-based rough set theory and fuzzy set theory. It is clear that Pawlak’s rough set...

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Zdzisław Pawlak, Databases and Rough Sets

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Covering Numbers in Covering-Based Rough Sets

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Rough set theory is a useful and effective tool to cope with granularity and vagueness in information system and has been used in many fields. However, it is hard to get the reduct of a covering in rough sets. This paper attempts to get the reduct of a covering at a high speed in theory. It defines upset and downset based on a poset in a covering, studies the relationship between reducible elem...

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ژورنال

عنوان ژورنال: International Journal of Approximate Reasoning

سال: 2016

ISSN: 0888-613X

DOI: 10.1016/j.ijar.2016.06.013