Multi-valued Logic for Decision-Making Under Uncertainty - Couverture souple

Kagan, Evgeny ; Rybalov, Alexander ; Yager, Ronald

9783031747649: Multi-valued Logic for Decision-Making Under Uncertainty

Couverture souple

ISBN 10 : 303174764X ISBN 13 : 9783031747649

Editeur : Birkh�user, 2026

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Multi-valued and fuzzy logics provide mathematical and computational tools for handling imperfect information and decision-making with rational collective reasoning and irrational individual judgements.

The suggested implementation of multi-valued logics is based on the uninorm and absorbing norm with generating functions defined by probability distributions. Natural extensions of these logics result in non-commutative and non-distributive logics. In addition to Boolean truth values, these logics handle subjective truth and false values and model irrational decisions. Dynamics of decision-making are specified by the subjective Markov process and learning – by neural network with extended Tsetlin neurons. Application of the suggested methods is illustrated by modelling of irrational economic decisions and biased reasoning in the wisdom-of-the-crowd method, and by control of mobile robots and navigation of their groups.

Topics and features:

Bridges the gap between fuzzy and probability methods
Includes examples in the field of machine-learning and robots’ control
Defines formal models of subjective judgements and decision-making
Presents practical techniques for solving non-probabilistic decision-making problems
Initiates further research in non-commutative and non-distributive logics

The book forms a basis for theoretical studies and practice of decision-making under uncertainty and will be useful for computer scientists and mathematicians interested in multi-valued and fuzzy logic, as well as for engineers working in the field of data mining and data analysis.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

� propos de l?auteur

Dr. Evgeny Kagan is with the Faculty of Engineering, Ariel University, Israel.

Dr. Alexander Rybalov is with the LAMBDA Laboratory, Tel-Aviv University, Israel.

Prof. Ronald Yager is with the Machine Learning Institute, Yona College, New York, USA.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Birkh�user
Date d'�dition: 2026
Langue: anglais
ISBN 10: 303174764X
ISBN 13: 9783031747649
Reliure: Broch�
Nombre de pages: 204
Coordonn�es du fabricant: ProductSafety@springernature.com
ProductSafety@springernature.com

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Multi-valued Logic for Decision-Making Under Uncertainty

Evgeny Kagan

Edit� par Birkh�user, Springer Feb 2026, 2026

ISBN 10 : 303174764X ISBN 13 : 9783031747649

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware 204 pp. Englisch. N� de r�f. du vendeur 9783031747649

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Multi-valued Logic for Decision-Making Under Uncertainty

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Multi-valued Logic for Decision-Making Under Uncertainty

Evgeny Kagan

Edit� par Birkh�user, Palgrave Macmillan Feb 2026, 2026

ISBN 10 : 303174764X ISBN 13 : 9783031747649

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -Multi-valued and fuzzy logics provide mathematical and computational tools for handling imperfect information and decision-making with rational collective reasoning and irrational individual judgements.The suggested implementation of multi-valued logics is based on the uninorm and absorbing norm with generating functions defined by probability distributions. Natural extensions of these logics result in non-commutative and non-distributive logics. In addition to Boolean truth values, these logics handle subjective truth and false values and model irrational decisions. Dynamics of decision-making are specified by the subjective Markov process and learning - by neural network with extended Tsetlin neurons. Application of the suggested methods is illustrated by modelling of irrational economic decisions and biased reasoning in the wisdom-of-the-crowd method, and by control of mobile robots and navigation of their groups.Topics and features:Bridges the gap between fuzzy and probability methodsIncludes examples in the field of machine-learning and robots' controlDefines formal models of subjective judgements and decision-makingPresents practical techniques for solving non-probabilistic decision-making problemsInitiates further research in non-commutative and non-distributive logicsThe book forms a basis for theoretical studies and practice of decision-making under uncertainty and will be useful for computer scientists and mathematicians interested in multi-valued and fuzzy logic, as well as for engineers working in the field of data mining and data analysis.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 204 pp. Englisch. N� de r�f. du vendeur 9783031747649

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