Algebraic Techniques and Their Use in Describing and Processing Uncertainty

This book discusses heuristic methods – methods lacking a solid theoretical justification – which are ubiquitous in numerous application areas, and explains techniques that can make heuristic methods more reliable. Focusing on algebraic techniques, i.e.,

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Hung T. Nguyen Vladik Kreinovich   Editors

Algebraic Techniques and Their Use in Describing and Processing Uncertainty To the Memory of Professor Elbert A. Walker

Studies in Computational Intelligence Volume 878

Series Editor Janusz Kacprzyk, Polish Academy of Sciences, Warsaw, Poland

The series “Studies in Computational Intelligence” (SCI) publishes new developments and advances in the various areas of computational intelligence—quickly and with a high quality. The intent is to cover the theory, applications, and design methods of computational intelligence, as embedded in the fields of engineering, computer science, physics and life sciences, as well as the methodologies behind them. The series contains monographs, lecture notes and edited volumes in computational intelligence spanning the areas of neural networks, connectionist systems, genetic algorithms, evolutionary computation, artificial intelligence, cellular automata, self-organizing systems, soft computing, fuzzy systems, and hybrid intelligent systems. Of particular value to both the contributors and the readership are the short publication timeframe and the world-wide distribution, which enable both wide and rapid dissemination of research output. The books of this series are submitted to indexing to Web of Science, EI-Compendex, DBLP, SCOPUS, Google Scholar and Springerlink.

More information about this series at http://www.springer.com/series/7092

Hung T. Nguyen Vladik Kreinovich •

Editors

Algebraic Techniques and Their Use in Describing and Processing Uncertainty To the Memory of Professor Elbert A. Walker

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Editors Hung T. Nguyen Department of Mathematical Sciences New Mexico State University Las Cruces, NM, USA

Vladik Kreinovich Department of Computer Science The University of Texas at El Paso El Paso, TX, USA

Faculty of Economics Chiang Mai University Chiang Mai, Thailand

ISSN 1860-949X ISSN 1860-9503 (electronic) Studies in Computational Intelligence ISBN 978-3-030-38564-4 ISBN 978-3-030-38565-1 (eBook) https://doi.org/10.1007/978-3-030-38565-1 © Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors