Augmenting and Decreasing Systems

This paper deals with cooperative games in which there exist a feasible coalition structure. Augmenting and decreasing systems are set systems specially introduced for analyzing certain situations of partial cooperation. They are dual structures in the se

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Frank T. Smith Hemen Dutta John N. Mordeson Editors

Mathematics Applied to Engineering, Modelling, and Social Issues

Studies in Systems, Decision and Control Volume 200

Series editor Janusz Kacprzyk, Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

The series “Studies in Systems, Decision and Control” (SSDC) covers both new developments and advances, as well as the state of the art, in the various areas of broadly perceived systems, decision making and control–quickly, up to date and with a high quality. The intent is to cover the theory, applications, and perspectives on the state of the art and future developments relevant to systems, decision making, control, complex processes and related areas, as embedded in the fields of engineering, computer science, physics, economics, social and life sciences, as well as the paradigms and methodologies behind them. The series contains monographs, textbooks, lecture notes and edited volumes in systems, decision making and control spanning the areas of Cyber-Physical Systems, Autonomous Systems, Sensor Networks, Control Systems, Energy Systems, Automotive Systems, Biological Systems, Vehicular Networking and Connected Vehicles, Aerospace Systems, Automation, Manufacturing, Smart Grids, Nonlinear Systems, Power Systems, Robotics, Social Systems, Economic Systems and other. Of particular value to both the contributors and the readership are the short publication timeframe and the world-wide distribution and exposure which enable both a wide and rapid dissemination of research output. ** Indexing: The books of this series are submitted to ISI, SCOPUS, DBLP, Ulrichs, MathSciNet, Current Mathematical Publications, Mathematical Reviews, Zentralblatt Math: MetaPress and Springerlink.

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Frank T. Smith Hemen Dutta John N. Mordeson •



Editors

Mathematics Applied to Engineering, Modelling, and Social Issues

123

Editors Frank T. Smith Department of Mathematics University College London London, UK

Hemen Dutta Department of Mathematics Gauhati University Guwahati, Assam, India

John N. Mordeson Department of Mathematics Center for Mathematics of Uncertainty Creighton University Omaha, NE, USA

ISSN 2198-4182 ISSN 2198-4190 (electronic) Studies in Systems, Decision and Control ISBN 978-3-030-12231-7 ISBN 978-3-030-12232-4 (eBook) https://doi.org/10.1007/978-3-030-12232-4 Library of Congress Control Number: 2018968112 © Springer Nature Switzerland AG 2019 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 m