Evgeny Kagan, Alexander Rybalov, Ronald Yager

Multi-valued Logic for Decision-Making Under Uncertainty

• Gebundenes Buch

Produktbeschreibung

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 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.

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Produktdetails

• Computer Science Foundations and Applied Logic
• Verlag: Birkhäuser / Springer Nature Switzerland / Springer, Berlin
• Artikelnr. des Verlages: 978-3-031-74761-8
• Seitenzahl: 204
• Erscheinungstermin: 18. Februar 2025
• Englisch
• Abmessung: 241mm x 160mm x 16mm
• Gewicht: 512g
• ISBN-13: 9783031747618
• ISBN-10: 3031747615
• Artikelnr.: 71747614

Autorenporträt

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.

Inhaltsangabe

1. Introduction.- 2. Background.- 3. Probability-generated multi-valued logic.- 4. Muli-valued logic algebra of subjective trusts.- 5. Algebra with non-commutative norms.- 6. Implementation of subjective trusts in control.