Probabilistic limit groups under t-norm by Gunther Jaeger and T. M. G. Ahsanullah
Jaeger, Gunther . 2014
We introduce probabilistic limit groups under a t-norm and study their basic properties. We show that for the classes of strict t-norms, all categories of probabilistic limit groups under such t-norms are isomorphic. The same is true for nilpotent t-norms. We further show that for each probabilistic limit group under a t-norm there is a natural probabilistic uniform limit structure which has the same underlying probabilistic Cauchy structure as the probabilistic limit group.
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