Advances in Fuzzy Implication Functions - Couverture souple

9783642437793: Advances in Fuzzy Implication Functions

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ISBN 10 : 3642437796 ISBN 13 : 9783642437793

Editeur : Springer, 2015

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Fuzzy implication functions are one of the main operations in fuzzy logic. They generalize the classical implication, which takes values in the set {0,1}, to fuzzy logic, where the truth values belong to the unit interval [0,1]. These functions are not only fundamental for fuzzy logic systems, fuzzy control, approximate reasoning and expert systems, but they also play a significant role in mathematical fuzzy logic, in fuzzy mathematical morphology and image processing, in defining fuzzy subsethood measures and in solving fuzzy relational equations.

This volume collects 8 research papers on fuzzy implication functions.

Three articles focus on the construction methods, on different ways of generating new classes and on the common properties of implications and their dependencies. Two articles discuss implications defined on lattices, in particular implication functions in interval-valued fuzzy set theories. One paper summarizes the sufficient and necessary conditions of solutions for one distributivity equation of implication. The following paper analyzes compositions based on a binary operation * and discusses the dependencies between the algebraic properties of this operation and the induced sup-* composition. The last article discusses some open problems related to fuzzy implications, which have either been completely solved or those for which partial answers are known. These papers aim to present today’s state-of-the-art in this area.

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�diteur: Springer
Date d'�dition: 2015
Langue: anglais
ISBN 10: 3642437796
ISBN 13: 9783642437793
Reliure: Broch�
Nombre de pages: 216
�diteur: Baczyński Michał, Beliakov Gleb, Bustince Sola Humberto, Pradera Ana
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Advances in Fuzzy Implication Functions

Baczynski, Michal|Beliakov, Gleb|Bustince Sola, Humberto|Pradera, Ana

Edit� par Springer Berlin Heidelberg, 2015

ISBN 10 : 3642437796 ISBN 13 : 9783642437793

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Recent research in Fuzzy Implication OperatorsTimely collection of the most recent works in the area of Fuzzy ImplicationsWritten by leading experts in the fieldFuzzy implication functions are one of the main operations in fuzzy . N� de r�f. du vendeur 385762232

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Advances in Fuzzy Implication Functions

Micha� Baczy�ski

Edit� par Springer Berlin Heidelberg, 2015

ISBN 10 : 3642437796 ISBN 13 : 9783642437793

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Fuzzy implication functions are one of the main operations in fuzzy logic. They generalize the classical implication, which takes values in the set {0,1}, to fuzzy logic, where the truth values belong to the unit interval [0,1]. These functions are not only fundamental for fuzzy logic systems, fuzzy control, approximate reasoning and expert systems, but they also play a significant role in mathematical fuzzy logic, in fuzzy mathematical morphology and image processing, in defining fuzzy subsethood measures and in solving fuzzy relational equations. This volume collects 8 research papers on fuzzy implication functions.Three articles focus on the construction methods, on different ways of generating new classes and on the common properties of implications and their dependencies. Two articles discuss implications defined on lattices, in particular implication functions in interval-valued fuzzy set theories. One paper summarizes the sufficient and necessary conditions of solutions for one distributivity equation of implication. The following paper analyzes compositions based on a binary operation \* and discusses the dependencies between the algebraic properties of this operation and the induced sup-\* composition. The last article discusses some open problems related to fuzzy implications, which have either been completely solved or those for which partial answers are known. These papers aim to present today's state-of-the-art in this area. N� de r�f. du vendeur 9783642437793

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Advances in Fuzzy Implication Functions

Micha� Baczy�ski

Edit� par Springer Berlin Heidelberg Jun 2015, 2015

ISBN 10 : 3642437796 ISBN 13 : 9783642437793

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Fuzzy implication functions are one of the main operations in fuzzy logic. They generalize the classical implication, which takes values in the set {0,1}, to fuzzy logic, where the truth values belong to the unit interval [0,1]. These functions are not only fundamental for fuzzy logic systems, fuzzy control, approximate reasoning and expert systems, but they also play a significant role in mathematical fuzzy logic, in fuzzy mathematical morphology and image processing, in defining fuzzy subsethood measures and in solving fuzzy relational equations. This volume collects 8 research papers on fuzzy implication functions.Three articles focus on the construction methods, on different ways of generating new classes and on the common properties of implications and their dependencies. Two articles discuss implications defined on lattices, in particular implication functions in interval-valued fuzzy set theories. One paper summarizes the sufficient and necessary conditions of solutions for one distributivity equation of implication. The following paper analyzes compositions based on a binary operation \* and discusses the dependencies between the algebraic properties of this operation and the induced sup-\* composition. The last article discusses some open problems related to fuzzy implications, which have either been completely solved or those for which partial answers are known. These papers aim to present today's state-of-the-art in this area. 216 pp. Englisch. N� de r�f. du vendeur 9783642437793

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Advances in Fuzzy Implication Functions

Micha� Baczy�ski

Edit� par Springer Berlin Heidelberg, Springer Berlin Heidelberg Jun 2015, 2015

ISBN 10 : 3642437796 ISBN 13 : 9783642437793

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -Fuzzy implication functions are one of the main operations in fuzzy logic. They generalize the classical implication, which takes values in the set {0,1}, to fuzzy logic, where the truth values belong to the unit interval [0,1]. These functions are not only fundamental for fuzzy logic systems, fuzzy control, approximate reasoning and expert systems, but they also play a significant role in mathematical fuzzy logic, in fuzzy mathematical morphology and image processing, in defining fuzzy subsethood measures and in solving fuzzy relational equations.This volume collects 8 research papers on fuzzy implication functions.Three articles focus on the construction methods, on different ways of generating new classes and on the common properties of implications and their dependencies. Two articles discuss implications defined on lattices, in particular implication functions in interval-valued fuzzy set theories. One paper summarizes the sufficient and necessary conditions of solutions for one distributivity equation of implication. The following paper analyzes compositions based on a binary operation \* and discusses the dependencies between the algebraic properties of this operation and the induced sup-\* composition. The last article discusses some open problems related to fuzzy implications, which have either been completely solved or those for which partial answers are known. These papers aim to present today�s state-of-the-art in this area.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 216 pp. Englisch. N� de r�f. du vendeur 9783642437793

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