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Two fuzzy database query languages are proposed. They are used to query to fuzzy databases that are enhanced from relational databases in a way that fuzzy sets are allowed in both attribute values and truth values. A fuzzy calculus query language is constructed based on the relational calculus and a fuzzy algebra query language is also constructed based on the relational algebra. In addition, this paper proves a fuzzy relational completeness theorem such that both the languages have equivalentdoi:10.1109/69.204096 fatcat:ymk7eyqfrrasvddy7jiwoctyba