Affiliations: School of Mathematics, Beijing Institute of Technology, Beijing, P.R. China
Note: [] Corresponding author. Bin Pang, School of Mathematics, Beijing Institute of Technology, Beijing 100081, P.R. China. E-mails: [email protected] (B. Pang); [email protected] (F.-G. Shi).
Abstract: In this paper, the concept of pointwise pseudo-metric chains is introduced. It is shown that there is a one-to-one correspondence between (L,M)-fuzzy pseudo-metrics in the sense of Shi and pointwise pseudo-metric chains which preserve $\bigvee\minus\bigwedge$ operations. Also, it is proved that a pointwise pseudo-metric chain can induce an (L,M)-fuzzy topology which coincides with the (L,M)-fuzzy topology induced by an (L,M)-fuzzy pseudo-metric.
