A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics [electronic resource] : Theory and Applications / by Laécio Carvalho de Barros, Rodney Carlos Bassanezi, Weldon A. Lodwick.

Por: de Barros, Laécio Carvalho [author.]Colaborador(es): Bassanezi, Rodney Carlos [author.] | Lodwick, Weldon A [author.] | SpringerLink (Online service)Tipo de material: TextoTextoSeries Studies in Fuzziness and Soft Computing ; 432Editor: Cham : Springer Nature Switzerland : Imprint: Springer, 2024Edición: 2nd ed. 2024Descripción: XV, 315 p. 120 illus., 23 illus. in color. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783031504921Tema(s): Computational intelligence | Biomathematics | Biometry | Computational Intelligence | Mathematical and Computational Biology | BiostatisticsFormatos físicos adicionales: Printed edition:: Sin título; Printed edition:: Sin título; Printed edition:: Sin títuloClasificación CDD: 006.3 Clasificación LoC:Q342Recursos en línea: Libro electrónicoTexto
Contenidos:
Fuzzy Sets Theory and Uncertainty in Mathematical Modeling -- The Extension Principle of Zadeh and Fuzzy Numbers -- Fuzzy Relations -- Notions of Fuzzy Logic -- Fuzzy Rule-Based Systems -- Fuzzy Relational Equations and Approximation -- Measure, Integrals and Fuzzy Events -- Fuzzy Dynamical Systems.
En: Springer Nature eBookResumen: This book provides an essential introduction to the field of dynamical models. Starting from classical theories such as set theory and probability, it allows readers to draw near to the fuzzy case. On one hand, the book equips readers with a fundamental understanding of the theoretical underpinnings of fuzzy sets and fuzzy dynamical systems. On the other, it presents some concepts of derivatives, integrals and differential equations applied to the context of fuzzy functions. Each of the major topics is accompanied by examples, worked-out exercises, and exercises to be completed. Moreover, many applications to real problems are presented, mainly in biomathematics where the so-called p-fuzzy systems play an important role. The book has been developed on the basis of the authors' lectures to university students and is accordingly primarily intended as a textbook for both upper-level undergraduates and graduates in applied mathematics, statistics, and engineering. It also offers a valuable resource for practitioners such as mathematical consultants and modelers, and for researchers alike, as it may provide both groups with new ideas and inspirations for projects in the fields of fuzzy logic and biomathematics. This thoroughly updated second edition includes a new chapter on fuzzy optimization, which also presents an application in carbon markets analysis and modeling.
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Fuzzy Sets Theory and Uncertainty in Mathematical Modeling -- The Extension Principle of Zadeh and Fuzzy Numbers -- Fuzzy Relations -- Notions of Fuzzy Logic -- Fuzzy Rule-Based Systems -- Fuzzy Relational Equations and Approximation -- Measure, Integrals and Fuzzy Events -- Fuzzy Dynamical Systems.

This book provides an essential introduction to the field of dynamical models. Starting from classical theories such as set theory and probability, it allows readers to draw near to the fuzzy case. On one hand, the book equips readers with a fundamental understanding of the theoretical underpinnings of fuzzy sets and fuzzy dynamical systems. On the other, it presents some concepts of derivatives, integrals and differential equations applied to the context of fuzzy functions. Each of the major topics is accompanied by examples, worked-out exercises, and exercises to be completed. Moreover, many applications to real problems are presented, mainly in biomathematics where the so-called p-fuzzy systems play an important role. The book has been developed on the basis of the authors' lectures to university students and is accordingly primarily intended as a textbook for both upper-level undergraduates and graduates in applied mathematics, statistics, and engineering. It also offers a valuable resource for practitioners such as mathematical consultants and modelers, and for researchers alike, as it may provide both groups with new ideas and inspirations for projects in the fields of fuzzy logic and biomathematics. This thoroughly updated second edition includes a new chapter on fuzzy optimization, which also presents an application in carbon markets analysis and modeling.

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