Perfect L -fuzzy topogenous space,L -fuzzy quasi-proximities and L -fuzzy quasi-uniform spaces

Abstract

In this paper, we introduce the notions of L-fuzzy semi-topogenous order, L-fuzzy topogenous (cotopogenuous) space, L-fuzzy topology (cotopology), L-fuzzy quasi-uniform space and the L-fuzzy quasi-proximity space. We study some relationships between previous spaces. The notions of their continuities are investigated.

Keywords

Commutative quantale

Get full access to this article

View all access options for this article.

References

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

21.

22.

23.

24.

25.

26.

27.

28.

29.

30.

31.

32.

33.

34.