Beyond Traditional Probabilistic Data Processing Techniques: Interval, Fuzzy etc. Methods and Their Applications

Olga Kosheleva, Sergey P. Shary, Gang Xiang, Roman Zapatrin (Herausgeber)

Buch | Softcover

XI, 649 Seiten

2021
Springer International Publishing (Verlag)
978-3-030-31043-1 (ISBN)

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Data processing has become essential to modern civilization. The original data for this processing comes from measurements or from experts, and both sources are subject to uncertainty. Traditionally, probabilistic methods have been used to process uncertainty. However, in many practical situations, we do not know the corresponding probabilities: in measurements, we often only know the upper bound on the measurement errors; this is known as interval uncertainty. In turn, expert estimates often include imprecise (fuzzy) words from natural language such as "small"; this is known as fuzzy uncertainty. In this book, leading specialists on interval, fuzzy, probabilistic uncertainty and their combination describe state-of-the-art developments in their research areas. Accordingly, the book offers a valuable guide for researchers and practitioners interested in data processing under uncertainty, and an introduction to the latest trends and techniques in this area, suitablefor graduate students.

Symmetries are Important.- Constructive Continuity of Increasing Functions.- A Constructive Framework for Teaching Discrete Mathematics.- Fuzzy Logic for Incidence Geometry.- Strengths of Fuzzy Techniques in Data Science.- Impact of Time Delays on Networked Control of Autonomous Systems.- Sets and Systems.- An Overview of Polynomially Computable Characteristics of Special Interval Matrices.- Interval Regularization for Inaccurate Linear Algebraic Equations.- Measurable Process Selection Theorem and Non-Autonomous Inclusions.- Handling Uncertainty When Getting Contradictory Advice from Experts.- Why Sparse?.- The Kreinovich Temporal Universe.- Integral Transforms induced by Heaviside Perceptrons.

Erscheinungsdatum	16.03.2021
Reihe/Serie	Studies in Computational Intelligence
Zusatzinfo	XI, 649 p. 142 illus., 71 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	989 g
Themenwelt	Mathematik / Informatik ► Informatik ► Datenbanken
	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
	Technik
Schlagworte	Computational Intelligence • Fuzzy Logic • Fuzzy methods • Interval methods • Non-traditional Data Processing Techniques • Uncertainty
ISBN-10	3-030-31043-4 / 3030310434
ISBN-13	978-3-030-31043-1 / 9783030310431
Zustand	Neuware