Random-Like Multiple Objective Decision Making
What are the random-like phenomena that can be found everywhere in real-life world? When carrying out a random sampling survey on the traffic situation, we often obtain some descriptive results such as approximately expedite, a little crowded and so on, t
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further volumes: http://www.springer.com/series/300
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Jiuping Xu
Liming Yao
Random-Like Multiple Objective Decision Making
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Prof. Dr. Dr. Jiuping Xu Uncertainty Decision Making Laboratory Sichuan University 610064 Chengdu P.R. China [email protected]
Assis. Prof. Liming Yao Uncertainty Decision Making Laboratory Sichuan University 610064 Chengdu P.R. China [email protected]
ISSN 0075-8442 ISBN 978-3-642-17999-0 e-ISBN 978-3-642-18000-2 DOI 10.1007/978-3-642-18000-2 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2011924492 c Springer-Verlag Berlin Heidelberg 2011 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, 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. Cover design: WMXDesign GmbH, Heidelberg, Germany Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
In real-life world, decision makers usually face multiple objectives and need to make the decision in a state of uncertainty. How do we obtain the optimal strategy in uncertain environments? The purpose of the book is to provide random-like multiple objective decision making to solve the question. This book aims at discussing a class of uncertain phenomenon, that is, random-like uncertainty including random phenomenon, bi-random phenomenon, random fuzzy phenomenon and random rough phenomenon. Then random multiple objective decision making, bi-random multiple objective decision making, random fuzzy multiple objective decision making and random rough multiple objective decision making will be introduced one by one. It was generally believed that the study of probability theory was started by Pascal and Fermat in 1654 when they succeeded in deriving the exact probabilities for certain gambling problems. From then on, people have broadly paid close attention to the random phenomenon. Afterwards, probability theory was widely applied to many social and technology problems, such as, vital statistics, premium theory, astro observation, the theory of errors, quality control and so on. From the seventeenth to nineteenth century, many distinguished scholars such as Bernoulli, De-Moivre, Laplace, Gauss, Poisson, Tchebychev, and Markov made contributions to the development of the probability theory. As the probabil
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