Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduce a monoidal category whose morphisms are finite partial orders, with chosen minimal and maximal elements as source and target respectively. After recalling the notion of presentation of a monoidal category by the means of generators and relations,  construct a presentation of our category, which corresponds to a variant of the notion of bialgebra.
['Samuel Mimram']
I am writing a research paper on a idea Presenting Finite Posets
[{"from": "human", "value": "I am writing a research paper on a idea Presenting Finite Posets"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduce a monoidal category whose morphisms are finite partial orders, with chosen minimal and maximal elements as source and target respectively. After recalling the notion of presentation of a monoidal category by the means of generators and relations,  construct a presentation of our category, which corresponds to a variant of the notion of bialgebra."}]