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 -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.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.