4 papers
When is the operation a triangle function on $\Del^+$?
Hongliang Lai, Mengyu Luo, Jie Zhang
This paper resolves an open problem posed by Schweizer and Sklar in 1983. We establish that the binary operation $\tauTL$ is a triangle function on $\Delp$ if and only if the follo…
On the Cartesian closedness of [0,1]-Cat and some of its subcategories
Hongliang Lai, Qingzhu Luo
We describe all left continuous triangular norms for which the category [0,1]-Cat of real-enriched categories and functors is cartesian closed. We furthermore show that the cartesi…
Triangle functions generated by products of quantales
Hongliang Lai, Qingzhu Luo
This paper investigates triangle functions induced by tensor products of triangular norms and conorms. For any left continuous t-norm on and any right continuous t-cono…
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…