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Fractal negations

Name: Fractal negations
Keywords: Affine transformation in R², Varietats (Matemàtica), Attractor, de Rham function, Contractive transformation, De Rham function, iterated function system, strong negations, attractor, Fractals

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1994 Spain English Publisher:Universitat Politècnica de Catalunya. Secció de Matemàtiques i InformàticaJournal:Mathware & soft computing

Authors: Mayor Forteza, Gaspar; Calvo Sánchez, Tomasa;

handle: 2099/2456

Fractal negations

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Abstract

From the concept of attractor of a family of contractive affine transformations in the Euclidean plane R², we study the fractality property of the De Rham function and other singular functions wich derive from it. In particular, we show as fractals the strong negations called k-negations.

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Spain

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Keywords

Affine transformation in R², Varietats (Matemàtica), Attractor, de Rham function, Contractive transformation, De Rham function, iterated function system, strong negations, attractor, Fractals, Compact set, Complete metric space, graphs of singular continuous functions, Singular functions, Cantor functions, functions with other special properties, Fractal set, Strong negation, K-negation

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