The structure of decomposable indistinguishability operators

On the representation of local indistinguishability operators

“…Decomposable local indistinguishability operators generate interesting radial betweenness relations as well as so-called tetrahedric relations which characterize them [14]. The results until Proposition 5.6 are known and will be recalled here for the sake of completeness.…”

“…E µ is indeed a local T -indistinguishability operator ( [14]) and of course, the decomposable local T -indistinguishability operator generated by µ is reflexive if and only if µ ≡ 1 (and in this case, E µ ≡ 1).…”

“…One of the reasons for studying local indistinguishability operators is the fact that symmetric decomposable fuzzy relations ( [14]) are an important particular case of them for four main reasons:…”

“…• t-norms are a special kind of decomposable fuzzy relations and hence a very important case of local indistinguishability operators [14].…”

Fifty years of similarity relations: a survey of foundations and applications

“…The study of decomposable fuzzy equivalence relations (Recasens 2008) is interesting basically for three reasons.…”