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
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 1 Aralık 2015 |
Yayımlandığı Sayı | Yıl 2015 Cilt: 44 Sayı: 6 |