Quotients with respect to similarity relations
The problem of the quotient w.r.t. a similarity relation is closely related to Poincaré's paradox and central problems in cluster analysis. Amazingly this problem remains open for more than 30 years. As a generalization of strong M-categories we introduce the concept of M- valued sets, which leads to the definition of the category M-SET. In M- SET we give a complete solution of the quotient problem.
scientific article; zbMATH DE number 4089770
scientific article