Work

On Some Dynamics in Conceptual Spaces

Year: 2024

Type: book-chapter

Abstract: In this text, we consider Gärdenfors’ conceptual spaces that are separable Hilbert spaces. In particular, the results we obtained apply to finite-dimensional Euclidean spaces. Our main contribution can be formulated as a combination of the theory of opinion dynamics with the theory of conceptual spaces. This combination, in turn, leads us to propose a new model for the time evolution of conceptual spaces. To achieve this goal, we propose some extension of the multidimensional opinion dynamics model of Parsegov, Proskurnikov, Tempo and Friedkin to opinions with values in Hilbert spaces.

Source: Journal of Logic Language and Information

DOI: 10.1007/s10849-024-09422-8

Authors: Piotr Lisowski, Roman Urban

Institution: University of Wrocław

Language: English

Topic: Opinion Dynamics and Social Influence

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funders: Washington State University, Uniwersytet Wrocławski