Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The paper considers a fuzzification of the notion of quantaloid of K. I. Rosenthal, which replaces enrichment in the category of V-semilattices with that in the category of modules over a given unital commutative quantale. The resulting structures are called quantale algebroids.  show that their constitute a monadic category and prove a representation theorem for them using the notion of nucleus adjusted for our needs.  also characterize the lattice of nuclei on a free quantale algebroid. At the end of the paper,  prove that the category of quantale algebroids has a monoidal structure given by tensor product.
['Sergey A. Solovyov']
I am writing a research paper on a idea On fuzzification of the notion of quantaloid.
[{"from": "human", "value": "I am writing a research paper on a idea On fuzzification of the notion of quantaloid."}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The paper considers a fuzzification of the notion of quantaloid of K. I. Rosenthal, which replaces enrichment in the category of V-semilattices with that in the category of modules over a given unital commutative quantale. The resulting structures are called quantale algebroids.  show that their constitute a monadic category and prove a representation theorem for them using the notion of nucleus adjusted for our needs.  also characterize the lattice of nuclei on a free quantale algebroid. At the end of the paper,  prove that the category of quantale algebroids has a monoidal structure given by tensor product."}]