Burillo López, Pedro

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https://academica-e.unavarra.es/handle/2454/48762

Last Name

Burillo López

First Name

Pedro

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Automática y Computación

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750875

person.page.upna

148

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Now showing 1 - 8 of 8

Open Access
Orderings in the referential set induced by intuitionistic fuzzy relation
(Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 1995) Burillo López, Pedro; Bustince Sola, Humberto; Automática y Computación; Automatika eta Konputazioa
In this paper we present different orderings in the referential set induced by intuitionistic fuzzy relations of ordering. We can see how these induced orders justify the definition given of intuitionistic fuzzy antisymmetry and the definition of partial enclosure.
Open Access
A method for inference in approximate reasoning based on normal intuitionistic fuzzy sets
(Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 1995) Bustince Sola, Humberto; Burillo López, Pedro; Mohedano Salillas, Victoria; Automática y Computación; Automatika eta Konputazioa
This paper introduces a method of approximate inference which operates with nornal intuitionistic fuzzy. We give a definition of degree of compatibility between intuitionistic fuzzy sets and we present a method for the construction of these sets. Lastly we present the method of inference in approximate reasoning with normal intuitionistic fuzzy sets and we study its most immediate properties.
Open Access
Overtaker binary relations on complete completely distributive lattices related to the level sets of the L-fuzzy sets
(Universitat Politècnica de Catalunya, 1994) Núñez, A.; Burillo López, Pedro; Fuentes González, Ramón; González, L.; Automática y Computación; Automatika eta Konputazioa
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.
Open Access
Intuitionistic fuzzy relations (Part I)
(Universitat Politècnica de Catalunya, 1995) Burillo López, Pedro; Bustince Sola, Humberto; Automática y Computación; Automatika eta Konputazioa
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 fulfills 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.
Open Access
On the intuitionistic fuzzy relations
(Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 1995) Burillo López, Pedro; Bustince Sola, Humberto; Atanassov, Krassimir; Automática y Computación; Automatika eta Konputazioa
Intuitionistic fuzzy relations which generalize the already existing relations are introduced and their basic properties are shown.
Open Access
Intuitionistic fuzzy relations (Part II). Effect of Atanassov's operators on the properties of the intuitionistic fuzzy relations
(Universitat Politècnica de Catalunya, 1995) Burillo López, Pedro; Bustince Sola, Humberto; Automática y Computación; Automatika eta Konputazioa
In this paper we study the effect of Atanassov's operator on the properties of properties reflexive, symmetric, antisymmetric, perfect antisymmetric and transitive intuitionistic fuzzy relations. We finish the paper analysing the partial enclosure of the intuitionistic fuzzy relations and its effect on the conservation of the transitive property through Atanassov's operator.
Open Access
On completeness and direction in fuzzy relational systems
(Universitat Politècnica de Catalunya, 1998) Burillo López, Pedro; Fuentes González, Ramón; González, L.; Automática y Computación; Automatika eta Konputazioa
The concepts of bounded subset, complete subset and directed subset, which are well known in the context of partially ordered sets (X, ≤), are extended in order to become applicable, with coherence, in fuzzy relational systems (X, R). The properties of these generalized structures are analyzed and operative examples of them are presented.
Open Access
A theorem for constructing interval-valued intuitionistic fuzzy sets from intuitionistic fuzzy sets
(Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 1995) Bustince Sola, Humberto; Burillo López, Pedro; Automática y Computación; Automatika eta Konputazioa
In this paper we present a theorem that allows us to construct interval-valued intuitionistic fuzzy sets from intuitionistic fuzzy sets. We also study the way of recovering intuitionistic fuzzy sets used in the construction of the interval-valued intuitionistic fuzzy set from different operators. We analise the numerical measures of information of the internal-valued intuitionistic fuzzy set constructed in function with the numerical measures of information of the intuitionistic fuzzy sets used in its construction. We review the most important properties of intuitionistic fuzzy sets and of internal-valued intuitionistic fuzzy sets and we analise three operators among these sets along with their properties.