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Burillo López, Pedro

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

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Burillo López

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Pedro

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Automática y Computación

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148

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Now showing 1 - 5 of 5
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    PublicationOpen 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.
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    PublicationOpen 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.
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    PublicationOpen 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.
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    PublicationOpen 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.
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    PublicationOpen Access
    On contrast intensification operators and fuzzy equality relations
    (Universitat Politècnica de Catalunya, 2000) Burillo López, Pedro; Fuentes González, Ramón; González, L.; Marín Martínez, Ángel; Automática y Computación; Automatika eta Konputazioa
    The class of contrast intensification operators is formally defined and its lattice structure studied. The effect of these operators in the referential classification 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.