Article ID Journal Published Year Pages File Type
396906 International Journal of Approximate Reasoning 2015 12 Pages PDF
Abstract

•We present results on approximation in residuated lattices given that closeness is assessed by means of biresiduum.•We define basic notions as central points of subsets of residuated lattices and closed balls.•We describe central points, optimal central points, and unique central points and examine several of their properties.•We present algorithms for two problems regarding optimal approximation.

The paper presents results on approximation in residuated lattices given that closeness is assessed by means of biresiduum. We describe central points and optimal central points of subsets of residuated lattices and examine several of their properties. In addition, we present algorithms for two problems regarding optimal approximation.

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