4 citations · 7 across the 6 of their papers we have counts for
6 papers
Cartesian closedness of the category of real-valued sets, II
Lili Shen, Jian Zhang
Let be the unit interval equipped with a left-continuous t-norm . We prove that is cartesian closed if and only if is the min…
Cartesian closedness of the category of real-valued sets, I
Lili Shen, Jian Zhang
Let be the unit interval equipped with a continuous t-norm . It is shown that the category of -sets is cartesian closed if, and only if, is the mi…
is not generally a topos
Xiao Hu, Lili Shen
For a commutative, unital and divisible quantale , it is shown that the category of -sets is a topos if, and only if, is a frame.
On the probabilistic metrizability of approach spaces
Hongliang Lai, Lili Shen, Junche Yu
We investigate approach spaces generated by probabilistic metric spaces with respect to a continuous t-norm on the unit interval . Let be the supremum of the idemp…
The complexity of classifying continuous t-norms up to isomorphism
Jialiang He, Lili Shen, Yi Zhou
It is shown that the isomorphism relation between continuous t-norms is Borel bireducible with the relation of order isomorphism between linear orders on the set of natural numbers…
The powerset monad on quantale-valued sets
Lili Shen, Xiaojuan Zhao
For a small involutive quantaloid , it is shown that the category of separated complete -categories and left adjoint -functors is strictly mo…