Discrete dualities for some algebras from rough sets
Ivo D\"untsch, Ewa Or{\l}owska

TL;DR
This paper explores discrete dualities linking classes of algebras derived from rough sets with relational systems, providing foundational representation theorems based on classical duality theories.
Contribution
It recalls and extends discrete dualities for algebras from rough sets, building on foundational work by Jönsson, Tarski, Kripke, and van Benthem.
Findings
Establishes duality theorems for rough set algebras
Provides representation results for these algebras
Connects algebraic and relational frameworks in rough set theory
Abstract
A discrete duality is a relationship between classes of algebras and classes of relational systems (frames) resulting in two representation theorems building on the early work of J\'onsson and Tarski, Kripke, and van Benthem. In this section we recall discrete dualities for various types of algebras arising from rough sets.
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Taxonomy
TopicsRough Sets and Fuzzy Logic · Advanced Algebra and Logic · Fuzzy and Soft Set Theory
