This post describes how to perform fuzzy queries or full-text searches on data before it is encrypted and ensure that your database supports encrypted storage.
This article describes how trgm, a powerful plugin significantly improves text search performance for fuzzy prefix and suffix queries as well as regexp matching.
This article describes how PostgreSQL helps to perform fuzzy prefix or suffix query and regexp query by using database indexes, including GIN, GiST, RUM, and other customized indexes.
This article goes over how you can use PostgreSQL to create an efficient search engine for full-text searches and other query types including fuzzy and similarity queries.