A recent article by Daniel Sewell develops a new approach for Cognitive Social Structures (CSS) data. Although there have been several models for CSS, his latent space models better capture micro-structures of CSS and provide insights into respondents’ perceptions.
If you’re interested in the paper, it’s available: https://www.cambridge.org/core/journals/network-science/article/latent-space-models-for-network-perception-data/0D24F6D47F4FF81EE19AAC083DADEB35.