Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   propose various extensions to the relational model to support similarity-based querying.  build upon the    -relation model, where tuples are assigned values from an arbitrary semiring    , and its associated positive relational algebra   $\text{RA}^{+}_{\mathcal{K}}$  .  consider a recently proposed extension to   $\text{RA}^{+}_{\mathcal{K}}$   using a monus operation on the semiring to support negative queries, and show how, surprisingly, it fails for important 'fuzzy' semirings. Instead,  suggest using a negation operator.  also consider the identities satisfied by the relational algebra   $\text{RA}^{+}_{\mathcal{K}}$  .  show that moving from a semiring to a particular form of lattice (a De Morgan frame) yields a relational algebra that satisfies all the classical (positive) relational algebra identities.  claim that to support real-world similarity queries realistically, one must move from tuple-level annotations to attribute-level annotations.  show in detail how our De Morgan frame-based model can be extended to support attribute-level annotations and give worked examples of similarity queries in this setting.
['Melita Hajdinjak', 'Gavin M. Bierman']
I am writing a research paper on a idea Extending relational algebra with similarities
[{"from": "human", "value": "I am writing a research paper on a idea Extending relational algebra with similarities"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   propose various extensions to the relational model to support similarity-based querying.  build upon the    -relation model, where tuples are assigned values from an arbitrary semiring    , and its associated positive relational algebra   $\\text{RA}^{+}_{\\mathcal{K}}$  .  consider a recently proposed extension to   $\\text{RA}^{+}_{\\mathcal{K}}$   using a monus operation on the semiring to support negative queries, and show how, surprisingly, it fails for important 'fuzzy' semirings. Instead,  suggest using a negation operator.  also consider the identities satisfied by the relational algebra   $\\text{RA}^{+}_{\\mathcal{K}}$  .  show that moving from a semiring to a particular form of lattice (a De Morgan frame) yields a relational algebra that satisfies all the classical (positive) relational algebra identities.  claim that to support real-world similarity queries realistically, one must move from tuple-level annotations to attribute-level annotations.  show in detail how our De Morgan frame-based model can be extended to support attribute-level annotations and give worked examples of similarity queries in this setting."}]