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 ...

Fuzzy operators are an essential tool in many fields and the operation of composition is often needed. In general, composition is not a commutative operation. However, it is very useful to have operators for which the order ...

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 ...

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 ...

Recently, the so-called family of T-power based implications was introduced. These operators involve the use of Zadeh’s quantifiers based on powers of t-norms in its definition. Due to the fact that Zadeh’s quantifiers ...

Multiresolution is a general mathematical concept that allows us to study a property by means of several changes of resolution. From axed resolution, a coarser projection can be calculated and then the changes between aner ...