## Generalized fuzzy points.(English)Zbl 0659.54003

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.

### MSC:

 54A40 Fuzzy topology
Full Text:

### References:

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