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arxiv: 1405.5493 · v1 · pith:WNBK3KP6new · submitted 2014-05-09 · 🧮 math.GM

Topologies and approximation operators induced by binary relations

classification 🧮 math.GM
keywords binaryinducedneighborhoodoperatorsrelationrelationsrespectrough
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Rough set theory is an important mathematical tool for dealing with uncertain or vague information. This paper studies some new topologies induced by a binary relation on universe with respect to neighborhood opera- tors. Moreover, the relations among them are studied. In additionally, lower and upper approximations of rough sets using the binary relation with respect to neighborhood operators are studied and examples are given.

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