Rough sets applicable in a topology

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Authors :

Nirmala Rebecca Paul 1

Author Address :

1Department of Mathematics, Lady Doak College, Madurai-625002, Tamil Nadu, India.

Abstract :

The paper derives the condition for the rough closure of a subset to contain an element.The relations between rough closure and rough interior are derived. Rough derived set is defined and theorems based on the derived sets are proved. Another rough topology on two equivalence relations is defined. An algorithm is developed to find the core of an information system. Two examples one from the complete system and one from the incomplete system are discussed to find the core.

Keywords :

Rough sets, Rough interior, Rough interior, Rough closure and Core.

DOI :

10.26637/MJM0S01/0016

Article Info :

Received : December 21, 2018; Accepted : February 11, 2019.

 

 

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