Distancia entre arcos y curvas de Jordan.
Acotación y sumabilidad en ideales de operadores compactos en espacios de Hilbert.
Los operadores acotados en relación conl una descomposición de variedades lineales en el espacio de Hilbert.
Una conjetura de Maurin sobre operadores nucleares en el espacio de Hilbert.
Intuitionistic fuzzy relations (Part I).
This paper introduces the concept of intuitionistic fuzzy relation. We also study the choice of t-norms and t-conorms which must be done in order that the composition of intuitionistic fuzzy relations fulfils the largest number of properties. On the other hand, we also analyse the intuitionistic fuzzy relations in a set and their properties. Besides, we also study the properties of the intuitionistic fuzzy relations in a set and the properties of the composition with different t-norms and t-conorms....
Geometría de gramianos en el espacio de Hilbert.
The purpose of the Part I of this paper is to develop the geometry of Gram's determinants in Hilbert space. In Parts II and III a generalization is given of the Pythagorean theorem and triangular inequality for finite vector families.
A short note on representation of L-fuzzy sets by Moore's families.
Overtaker binary relations on complete completely distributive lattices related to the level sets of the L-Fuzzy sets.
The class of overtaker binary relations associated with the order in a lattice is defined and used to generalize the representations of L-fuzzy sets by means of level sets or fuzzy points.
Fuzzy morphological operators in image processing.
First of all, in this paper we propose a family of fuzzy implication operators, which the generalised Lukasiewicz's one, and to analyse the impacts of Smets and Magrez properties on these operators. The result of this approach will be a characterisation of a proposed family of inclusion grade operators (in Bandler and Kohout's manner) that satisfies the axioms of Divyendu and Dogherty. Second, we propose a method to define fuzzy morphological operators (erosions and dilations). A family of fuzzy...
Generation of fuzzy mathematical morphologies.
Fuzzy Mathematical Morphology aims to extend the binary morphological operators to grey-level images. In order to define the basic morphological operations fuzzy erosion, dilation, opening and closing, we introduce a general method based upon fuzzy implication and inclusion grade operators, including as particular case, other ones existing in related literature. In the definition of fuzzy erosion and dilation we use several fuzzy implications (Annexe A, Table of fuzzy implications), the paper includes...
Operadores antisimétricos y de rango finito en espacios de Hilbert.
Pure braid subgroups of braided Thompson's groups.
On completeness and direction in fuzzy relational systems.
The concepts of bounded subset, complete subset and directed subset, wich are well known in the context of partially ordered sets (X,≤), are extended in order to become appliable, with coherence, in fuzzy relational systems (X,R). The properties of these generalized structures are analyzed and operative exemples of them are presented.
On contrast intensification operators and fuzzy equality relations.
The class of contrast intensification operators is formally defined and it's lattice structure studied. The effect of these operators in the referential classifications derived from special kinds of fuzzy relations is also determined. Results and examples are presented providing contrast intensification operators which keep quasi-uniformity structures generated by fuzzy relations while diminishing the fuzziness or the entropy of the relations.
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