In [7] a conjecture relating the positive definiteness of a similarity with its transitivity with respect to the Lukasiewicz t-norm is made. In its current form, the conjecture is not true but from a modified version ...

This paper presents a new method for approximating an unrestricted belief measure assuring that the "order" defined by the compatibility degree between evidence and the singletons set is preserved. Our approach, based on ...

Given $\mu , \; \eta :X \rightarrow [0,1]$ we study when the equality $I_{\mu }^{T}=I_{\eta }^{T}$ holds, $T$ being a continuous t-norm, and $I_{\theta }^{T}$ the elemental preorder:\\ \[ I_{\theta }^{T}(y/x) = sup \{z\; ...

Fuzzy subgroups are revisited considering their close relationship with indistinguishability operators (fuzzy equivalences) invariant under translations. Different ways to obtain new fuzzy subgroups from a given one are ...

This paper studies local indistinguishability operators, i.e., symmetric and transitive fuzzy relations that do not need to be reflexive. This is an important generalization of global indistinguishability relations (fuzzy ...

The main result of the paper is an algorithm that allows us to decide when a given fuzzy relation is a one-dimensional T-indistinguishability operator for some archimedean t-norm T (in the sense of the Representation Theorem ...

En este trabajo se estudia la clase de operadores de T-indistinguibilidad con T una suma ordinal. Mostramos que estos operadores de T-indistinguibilidad pueden pensarse como familias de operadores de indistinguibilidad ...

This paper presents the design of an optimal Energy Management System (EMS) based on a Fuzzy Logic Controller (FLC) for a residential grid-connected microgrid with hybrid renewable generation (wind, photovoltaic) and storage ...

New partial orderings =o=o, =p=p and =H=H are defined, studied and compared on the set HH of finite subsets of the unit interval with special emphasis on the last one. Since comparing two sets of the same cardinality is a ...