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The aim is to characterize subclasses of quasiorder-generated approximation spaces where definable sets form specific types of algebras.

Dualities in quasiorder-generated covering-based approximation spaces

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The aim is to characterize subclasses of quasiorder-generated approximation spaces where definable sets form specific types of algebras.
Characterization of subclasses forming Stone, dual Stone, and Heyting algebras; derivation of representation theorems.
Utilization of quasiorder to determine discrete dualities of these algebras.
Identified subclasses for which definable sets result in dual Stone and regular double Stone algebras.
Derived representation theorems linking these algebras to rough sets defined by quasiorders.

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Characterizes algebras within covering-based approximation spaces, revealing discrete dualities and implications for rough sets.

Kumar et al. (2026) studied this question.

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