Towards a logic of affordances
Rafal Gruszczynski, Paula Mench\'on, Ivo D\"untsch, G\"unther Gediga
TL;DR
This paper develops a formal, mathematical framework for understanding affordances as ternary relations, using tools from information systems and rough sets to enable reasoning about them.
Contribution
It introduces a novel formal theory of affordances incorporating crisp and rough scenarios, with modal and approximation operators for reasoning.
Findings
Defined precise mathematical models for crisp and rough affordances
Analyzed modal and approximation operators for affordance reasoning
Established a foundation for formal reasoning about affordances
Abstract
We aim to construct a formal theory of affordances seen as ternary relations. Beginning with a characterization of affordances proposed by James J. Gibson, and utilizing the tools provided by Zdzis{\l}aw Pawlak's information systems and rough sets, we construct a mathematically precise definition of both crisp and rough affordances. Then, we analyze modal and approximation operators that enable reasoning about affordances in both scenarios.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.