Work

Categorical Structures in Rough Set Theory and Information Systems

Year: 2026

Type: article

Abstract: Using the concept of category, we provide some insight into and prove an intrinsic property of the category AprS of approximation spaces and continuous functions. We also introduce rough closure and rough interior operators to characterize clopen topologies. Our main result proves the equivalence of several categories, including the category of equivalence relations and relation-preserving functions, the category of rough interior spaces and continuous functions, the category of rough closure spaces and continuous functions, and the category AprS. This work provides a deeper understanding of the interplay among rough set theory, information systems, and category theory.

Source: Mathematics

DOI: 10.3390/math14020369

Authors: Yu-Ru Syau, Churn-Jung Liau, En-Bing Lin

Institutions: National Formosa University, Institute of Information Science, Academia Sinica, Academia Sinica, Wentworth Institute of Technology

Language: English

Topic: Rough Sets and Fuzzy Logic

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: National Science and Technology Council