What is the categorical operad whose algebras are the (based) symmetric monoidal categories?
Note that the definition of symmetric monoidal category can be found here. https://ncatlab.org/nlab/show/symmetric+monoidal+category#:~:text=A%20symmetric%20monoidal%20category%20is,categorical%20products%20may%20be%20commutative.
A symmetric monoidal category is based if the unit is strict.
I tried defining it myself but have had no luck. Can someone please tell me or point me in the right direction?