Generalized fuzzy points (Q1112354)

We generalize the point space concept and define the fuzzy point spaces \((X',\epsilon)\) where \(\epsilon\) is a fuzzy relation. We show that there exists a large class of good fuzzy point spaces. We also give a characterization of some interesting classes of fuzzy filters of \({\mathcal F}(X)\). Finally, a definition of convergence for sequences of generalized fuzzy points is given.