English

Fuzzy Relational Databases via Associative Arrays

Databases 2023-11-08 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2311.03574,
  title  = {Fuzzy Relational Databases via Associative Arrays},
  author = {Kevin Min and Hayden Jananthan and Jeremy Kepner},
  journal= {arXiv preprint arXiv:2311.03574},
  year   = {2023}
}

Comments

5 pages, accepted to IEEE URTC 2023

R2 v1 2026-06-28T13:13:22.322Z