Continuous weakly cancellative triangular subnorms: I. Their web-geometric properties

摘要

The paper studies web-geometric properties of continuous weakly cancellative t-subnorms. Particularly, it studies the Reidemeister closure condition which is known from web geometry as a visual characterization of those loops that are associative. As a result, the paper delimits a subset of the domain of a continuous weakly cancellative t-subnorm in which the Reidemeister closure condition is necessarily satisfied. (C) 2017 Elsevier B.V. All rights reserved.