successor neighborhood

English to Portuguese Science Mathematics & Statistics

To understand this notion better, it helps to consider a relation as mapping every element x∈X to a set xR = { y∈Y | xRy }.[11] This set is sometimes called the successor neighborhood of x in R; one can define the predecessor neighborhood analogously.[12] Synonymous terms for these notions are afterset and respectively foreset.[5]

https://en.wikipedia.org/wiki/Binary_relation#cite_note-kkm-...