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Fuzzy Implications - Michal Baczynski
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Michal Baczynski:

Fuzzy Implications - nouveau livre

ISBN: 9783540690801

[ED: Buch], [PU: Springer-Verlag GmbH], Neuware - Nothing new had been done in Logic since Aristotle! -KurtGodel (1906-1978) Fuzzyimplicationsareoneof themain operationsinfuzzy logic.Theygeneralize the classical implication, which takes values in 0,1, to fuzzy logic, where the truth values belong to the unit interval [0,1]. In classical logic the implication canbede nedindi erentways.Threeofthesehavecometo assumegreatert- oreticalimportance,viz. the usual materialimplication from the Kleene algebra, the implication obtained as the residuum of the conjunction in Heyting algebra (also called pseudo-Boolean algebra) in the intuitionistic logic framework and the implication (also called as 'Sasaki arrow') in the setting of quantum logic. Interestingly, despite their di ering de nitions, their truth tables are identical in classical case. However, the natural generalizations of the above de nitions in the fuzzy logic framework are not identical. This diversity is more a boon than a bane and has led to some intensive research on fuzzy implications for close to three decades. It will be our endeavor to cover the various works churned out in this period to su cient depth and allowable breadth in this treatise. In the forewordto Klir andYuan's book[147],ProfessorLot A. Zadehstates the following: 'The problem is that the term 'fuzzy logic' has two di erent meanings., [SC: 0.00], Neuware, gewerbliches Angebot, 240x164x24 mm, [GW: 614g]

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Fuzzy Implications - Michal Baczynski
Livre non disponible
(*)

Michal Baczynski:

Fuzzy Implications - nouveau livre

ISBN: 9783540690801

[ED: Buch], [PU: Springer-Verlag GmbH], Neuware - Nothing new had been done in Logic since Aristotle! -KurtGodel (1906-1978) Fuzzyimplicationsareoneof themain operationsinfuzzy logic.Theygeneralize the classical implication, which takes values in 0,1, to fuzzy logic, where the truth values belong to the unit interval [0,1]. In classical logic the implication canbede nedindi erentways.Threeofthesehavecometo assumegreatert- oreticalimportance,viz. the usual materialimplication from the Kleene algebra, the implication obtained as the residuum of the conjunction in Heyting algebra (also called pseudo-Boolean algebra) in the intuitionistic logic framework and the implication (also called as 'Sasaki arrow') in the setting of quantum logic. Interestingly, despite their di ering de nitions, their truth tables are identical in classical case. However, the natural generalizations of the above de nitions in the fuzzy logic framework are not identical. This diversity is more a boon than a bane and has led to some intensive research on fuzzy implications for close to three decades. It will be our endeavor to cover the various works churned out in this period to su cient depth and allowable breadth in this treatise. In the forewordto Klir andYuan's book[147],ProfessorLot A. Zadehstates the following: 'The problem is that the term 'fuzzy logic' has two di erent meanings., [SC: 0.00], Neuware, gewerbliches Angebot, FixedPrice, [GW: 614g]

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Fuzzy Implications - Michal Baczynski
Livre non disponible
(*)
Michal Baczynski:
Fuzzy Implications - nouveau livre

2008

ISBN: 9783540690801

[ED: Buch], [PU: Springer-Verlag GmbH], Neuware - Nothing new had been done in Logic since Aristotle! -KurtGodel (1906-1978) Fuzzyimplicationsareoneof themain operationsinfuzzy logic.Theygeneralize the classical implication, which takes values in 0,1, to fuzzy logic, where the truth values belong to the unit interval [0,1]. In classical logic the implication canbede nedindi erentways.Threeofthesehavecometo assumegreatert- oreticalimportance,viz. the usual materialimplication from the Kleene algebra, the implication obtained as the residuum of the conjunction in Heyting algebra (also called pseudo-Boolean algebra) in the intuitionistic logic framework and the implication (also called as 'Sasaki arrow') in the setting of quantum logic. Interestingly, despite their di ering de nitions, their truth tables are identical in classical case. However, the natural generalizations of the above de nitions in the fuzzy logic framework are not identical. This diversity is more a boon than a bane and has led to some intensive research on fuzzy implications for close to three decades. It will be our endeavor to cover the various works churned out in this period to su cient depth and allowable breadth in this treatise. In the forewordto Klir andYuan's book[147],ProfessorLot A. Zadehstates the following: 'The problem is that the term 'fuzzy logic' has two di erent meanings., [SC: 0.00]

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Fuzzy Implications - Baczynski, Michal; Jayaram, Balasubramaniam
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Baczynski, Michal; Jayaram, Balasubramaniam:
Fuzzy Implications - edition reliée, livre de poche

2008, ISBN: 3540690808

ID: A5880324

Gebundene Ausgabe Fuzzy Logik - Fuzzy Set, Fuzzy Set ( Fuzzy Logik ), COMPUTERS / Intelligence (AI) & Semantics, MATHEMATICS / Algebra / General, MATHEMATICS / Applied, mit Schutzumschlag neu, [PU:Springer-Verlag GmbH]

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Fuzzy Implications - Baczynski, Michal; Jayaram, Balasubramaniam
Livre non disponible
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Baczynski, Michal; Jayaram, Balasubramaniam:
Fuzzy Implications - edition reliée, livre de poche

2008, ISBN: 3540690808

ID: A5880324

Gebundene Ausgabe Fuzzy Logik - Fuzzy Set, Fuzzy Set ( Fuzzy Logik ), COMPUTERS / Intelligence (AI) & Semantics, MATHEMATICS / Algebra / General, MATHEMATICS / Applied, met couverture neu, [PU:Springer-Verlag GmbH]

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Détails sur le livre
Fuzzy Implications
Auteur:

Baczynski, Michal; Jayaram, Balasubramaniam

Titre:

Fuzzy Implications

ISBN:

9783540690801

An Introduction to Fuzzy Implications.- Part I Analytical Study of Fuzzy Implications.- Fuzzy Implications from Fuzzy Logic Operations.- Fuzzy Implications from Generator Functions.- Intersections between Families of Fuzzy Implications.- Fuzzy Implications from Uninorms.- Part II Algebraic Study of Fuzzy Implications.- Algebraic structures of fuzzy implications.- Fuzzy Implications and some Functional Equations.- Part III Applicational Study of Fuzzy Implications.- Fuzzy Implications in Approximate Reasoning.

Informations détaillées sur le livre - Fuzzy Implications


EAN (ISBN-13): 9783540690801
ISBN (ISBN-10): 3540690808
Version reliée
Date de parution: 2008
Editeur: Springer-Verlag GmbH
310 Pages
Poids: 0,614 kg
Langue: eng/Englisch

Livre dans la base de données depuis 03.09.2008 17:16:55
Livre trouvé récemment le 06.09.2016 17:21:30
ISBN/EAN: 9783540690801

ISBN - Autres types d'écriture:
3-540-69080-8, 978-3-540-69080-1

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