Relaxed Indistinguishability Relations and Relaxed Metrics: The Aggregation Problem

The main purpose of this paper is to study the relationship between those functions that aggregate relaxed indistinguishability fuzzy relations with respect a collection t-norms and merge pseudo-metrics, extending classical approach explored for pseudo-metrics relations. Special attention paid distinguished class SSI-relaxed showing merging special type can be expressed through aggregating SSD-relaxed pseudo-metrics. Outstanding differences their counterpart separating points are shown.