We show that for the classes of strict t-norms, the categories of probabilistic limit spaces under these t-norms are all isomorphic to each
other. The same is true for the categories of probabilistic limit spaces
under nilpotent t-norms. To show this, we study the isomorphisms be-
tween the categories of probabilistic limit spaces under a t-norm, limit
tower spaces and approach limit spaces. Similar results are obtained
for probabilistic Cauchy spaces and probabilistic uniform limit spaces.
Probabilistic limit space probabilistic uniform limit space proba- bilistic Cauchy space limit tower space uniform limit tower space Cauchy tower space convergence approach space approach Cauchy space approach uniform limit space t-norm
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Mathematics |
Authors | |
Publication Date | December 1, 2015 |
Published in Issue | Year 2015 Volume: 44 Issue: 6 |