On a Well-behaved Relational Generalisation of Rough Set Approximations
Alexa Gopaulsingh
TL;DR
This paper explores a non-dual relational extension of rough set approximations that retains many classical properties, providing insights into their connection with modal logics.
Contribution
It introduces a well-behaved relational extension of rough set approximations and explains an observed phenomenon in rough set systems and modal logics.
Findings
Extension satisfies many classical rough set properties
Provides explanation for previous observations in rough set literature
Bridges rough set theory with modal logic insights
Abstract
We examine non-dual relational extensions of rough set approximations and find an extension which satisfies surprisingly many of the usual rough set properties. We then use this definition to give an explanation for an observation made by Samanta and Chakraborty in their recent paper [P. Samanta and M.K. Chakraborty. Interface of rough set systems and modal logics: A survey. Transactions on Rough Sets XIX, pages 114-137, 2015].
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Taxonomy
TopicsRough Sets and Fuzzy Logic · Advanced Numerical Analysis Techniques