Person:
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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148

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Now showing 1 - 10 of 15

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
Penalty function in optimization problems: a review of recent developments
(Springer, 2018) Bustince Sola, Humberto; Fernández Fernández, Francisco Javier; Burillo López, Pedro; Automática y Computación; Automatika eta Konputazioa; Institute of Smart Cities - ISC
In this chapter we make a brief revision of some recent developments on the notion of penalty function as a tool for the fusion of information, including the most recently published definition as well as the extension of the concept to the lattice setting.
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
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
Fuzzy morphological operators in image processing
(Universitat Politècnica de Catalunya, 2003) Burillo López, Pedro; Frago Paños, Noé Natalio; Fuentes González, Ramón; Automática y Computación; Automatika eta Konputazioa
First of all, in this paper we propose a family of fuzzy implication operators, which the generalised Luckasiewicz´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 implication operators and the inclusion grade are the basis for this method.
Open Access
On fuzzy orderings of crisp and fuzzy intervals
(EUSFLAT, 2001) Fuentes González, Ramón; Burillo López, Pedro; Mayor, Gaspar; Automática y Computación; Automatika eta Konputazioa
First, fuzzy membership functions for the assertion '[x,y] is a positive interval' are proposed and characterized via non-decreasing real maps. Last, using those functions together with the intervaldifference and the notion of average index, comparison indexes between intervals and the ones between fuzzy intervals are proposed.
Open Access
Parametric families of fuzzy consequence operators
(Universitat Politècnica de Catalunya, 2004) Elorza Barbajero, Jorge; Burillo López, Pedro; Automática y Computación; Automatika eta Konputazioa
In a previous paper we explored the notion of coherent fuzzy consequence operator. Since we did not know of any example in the literature of non-coherent fuzzy consequence operator, we also showed several families of such operators. It is well-known that the operator induced by a fuzzy preorder through Zadeh’s compositional rule is always a coherent fuzzy consequence operator. It is also known that the relation induced by a fuzzy consequence operator is a fuzzy preorder if such operator is coherent. The aim of this paper is to show a parametric family of non-coherent fuzzy consequence operators which induce a preorder and also a family of non-coherent fuzzy consequence operators which do not induce a preorder. These families of operators can be implemented through very simple algorithms.
Open Access
Generation of fuzzy mathematical morphologies
(Universitat Politècnica de Catalunya, 2001) Burillo López, Pedro; Frago Paños, Noé Natalio; Fuentes González, Ramón; Automática y Computación; Automatika eta Konputazioa
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 a study on their practical effects on digital image processing. We also present some graphic examples of erosion and dilation with three different structuring elements B(i,j)=1, B(i,j)=0.7, B(i,j)=0.4, i,j∈{1,2,3} and various fuzzy implications.
Open Access
Posibles nuevas vías de investigación en teoría de la comunicación a través de modelos matemáticos: análisis topológico
(Centro de Investigaciones Sociológicas, 1978) Corres Sanz, Jesús María; Burillo López, Pedro; Automática y Computación; Automatika eta Konputazioa
Uno de los pocos puntos en los que los metodólogos de las ciencias sociales están de acuerdo es el divorcio existente entre trabajo teórico y trabajo metodológico en las prácticas sociales concretas. Por otro lado, para la creación del corpus de las ciencias sociales se ha tropezado secularmente con un grave problema o inconveniente: la carencia o insuficiencia de un «lenguaje común» que permitiera el trabajo interdisciplinario de los diferentes científicos sociales. Por paradójico que parezca, este inconveniente no está siendo solucionado, únicamente, desde dentro de las ciencias sociales, sino que ha sido precisa la colaboración de otras ciencias, especialmente las ciencias exactas (física, matemáticas...). Estos dos aspectos epistemológicos de las ciencias sociales han inducido a buena parte de los investigadores sociales a abordar el estudio y análisis de las prácticas sociales a través de la Teoría de la Comunicación.