A new map (ΛE) between fuzzy subsets of a universe X endowed with a T-indistinguishability operator E is introduced. The main feature of ΛE is that it has the columns of E as fixed points, and thus it provides us with a ...

Fuzzy subgroups and T-vague groups are interesting fuzzy algebraic structures that have been widely studied. While fuzzy subgroups fuzzify the concept of crisp subgroup, T-vague groups can be identified with quotient groups ...

Although Fuzzy Preorders and Fuzzy Equivalences are well established types of fuzzy relations, they are defined in terms of properties to be fulfilled in a crisp way. In this paper we relax those requirements by making ...

In a theoretical setting, the Representation Theorem is used to generate T-indistinguishability operators (fuzzy similarity relations) from a given set of fuzzy criteria. In applied domains, though, other ways of generation ...

Aquesta memòria s'ha escrit amb l'ànim d'exposar els punts de vista i els resultats nous que l'autor ha pogut obtenir. No s'hi troba, per tant, una descripció detallada de tots els temes que conformen la teoria dels operadors ...

The aim of this paper is to analyze Approximate Reasoning (AR) through extensionality with respect to the natural T-indistinguishability operator, by considering the indistinguishability level between fuzzy sets as a formal ...

This paper generalizes (fuzzifies) actions of a monoid or group on a set to deal with situations where imprecision and uncertainty are present. Fuzzy actions can handle the granularity of a set or even create it by defining ...

This article studies T-preorders that can be generated in a natural way by a single fuzzy subset. These T-preorders are called one-dimensional and are of great importance, because every T-preorder can be generated by ...