In this paper we study certain types of positive fuzzy quasi-orders on semigroups and their links with completely semiprime ideals, prime filters. We characterize various properties a quasi-order Q in terms the its left right eigen spaces IQ CQ, solution sets set equations corresponding to Q. also demonstrate applications obtained results semilattice decompositions semigroups. The shed new ligh...

Using fuzzy filters in the sense of P. Eklund and W. Gähler [2], it turns out that fuzzy preuniform convergence spaces introduced in [11] form a strong topological universe in which fuzzy topological spaces as well as fuzzy (quasi) uniform spaces can be studied. Thus, better tools such as the existence of natural function spaces, the existence of one-point extensions (and consequently, the here...

We generalize the notion of quasi-closed element to fuzzy posets in two stages: First, crisp style which each a given universe either is or not. Second, graded by defining degrees an quasi-closed. discuss different possible definitions and comparing them with other. Finally, we show that most general one has good properties be used when have complete lattice as frame.

The purpose of this paper is to present the relations among completeness sequences, filters and nets in framework fuzzy quasi-pseudometric spaces. In particular, we show that right sequences are equivalent under special conditions quasi-pseudometrics. By introducing a kind more general K-Cauchy spaces, equivalence between sequential established.