  The increasing rise in artificial intelligence has made the use of imprecise
language in computer programs like ChatGPT more prominent. Fuzzy logic
addresses this form of imprecise language by introducing the concept of fuzzy
sets, where elements belong to the set with a certain membership value (called
the fuzzy value). This paper combines fuzzy data with relational algebra to
provide the mathematical foundation for a fuzzy database querying language,
describing various useful operations in the language of linear algebra and
multiset operations, in addition to rigorously proving key identities.
