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 ...

Electro-mechanical oscillations are produced, in the machines of an interconnected power network, followed by a disturbance or due to high power transfer through weak tie lines. These oscillations should be damped as quickly ...

In this paper we study the permutability of the composition of fuzzy consequence operators (fuzzy closings) and fuzzy interior operators (fuzzy openings). We establish several characterizations and we show the relation of ...

Permutability between T-indistinguishability operators is a very interesting property that is related to the compatibility of the operators with algebraic structures. It will be shown that the sup −T product E ∘ F of two ...

Aggregation functions A stable with respect to powers of t-norms and t-conorms (i.e.: satisfying A(x^{(r)},y^{(r)})=(A(x,y))^{(r)}) where x^{(r)} is the r-th power of x \in [0,1] with respect to a t-norm or t-conorm) are ...

This contribution deals with the problem of aggregating T-equivalence relations, in the sense that we are looking for functions that preserve reflexivity, symmetry and transitivity with respect to a given t-norm T. Under ...

Similarity Relations may be constructed from a set of fuzzy attributes. Each fuzzy attribute generates a simple similarity, and these simple similarities are combined into a complex similarity afterwards. The Representation ...

Fuzzy logic controller performance depends on the fuzzy control rule set. This set can be obtained either by an expert or from a learning algorithm through a set of examples. Recently, we have developed SLAVE an ...

Se proporcionan dos caracterizaciones geométricas de las relaciones borrosas reflexivas y simétricas definidas positivas basadas en la inmersión isométrica de sus pseudodistancias naturalmente asociadas respecto a las ...