Pointwise uniformities and pointwise metrics on fuzzy lattices
In fuzzy topology, there are pointlike structures. But on fuzzy uniformities and fuzzy metrics on fuzzy lattices, most works are made in pointless framework. In the paper the author first introduces the concept of the order-preserving and symmetric mapping. Moreover, based on his work on pointwise quasi-uniformity [Acta Math. Sin. 39, No. 5, 701-706 (1996; Zbl 0866.54023)], the author gives successfully the definition of the pointwise uniformity on fuzzy lattices. Correspondingly, results on the pointwise fuzzy metric are obtained.
scientific article; zbMATH DE number 1063719