An Introduction to Fuzzy Linear Programming Problems Theory, Methods
The book presents a snapshot of the state of the art in the field of fully fuzzy linear programming. The main focus is on showing current methods for finding the fuzzy optimal solution of fully fuzzy linear programming problems in which all the parameters
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Jagdeep Kaur Amit Kumar
An Introduction to Fuzzy Linear Programming Problems Theory, Methods and Applications
Studies in Fuzziness and Soft Computing Volume 340
Series editor Janusz Kacprzyk, Polish Academy of Sciences, Warsaw, Poland e-mail: [email protected]
About this Series The series “Studies in Fuzziness and Soft Computing” contains publications on various topics in the area of soft computing, which include fuzzy sets, rough sets, neural networks, evolutionary computation, probabilistic and evidential reasoning, multi-valued logic, and related fields. The publications within “Studies in Fuzziness and Soft Computing” are primarily monographs and edited volumes. They cover significant recent developments in the field, both of a foundational and applicable character. An important feature of the series is its short publication time and world-wide distribution. This permits a rapid and broad dissemination of research results.
More information about this series at http://www.springer.com/series/2941
Jagdeep Kaur Amit Kumar •
An Introduction to Fuzzy Linear Programming Problems Theory, Methods and Applications
123
Jagdeep Kaur School of Mathematics Punjab Thapar University Patiala India
Amit Kumar School of Mathematics Punjab Thapar University Patiala India
ISSN 1434-9922 ISSN 1860-0808 (electronic) Studies in Fuzziness and Soft Computing ISBN 978-3-319-31273-6 ISBN 978-3-319-31274-3 (eBook) DOI 10.1007/978-3-319-31274-3 Library of Congress Control Number: 2016935389 © Springer International Publishing Switzerland 2016 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 give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG Switzerland
Dedicated to the Almighty and to My Parents
Preface
Decision making is the process of identifying and choosing alternatives based on the values and preferences of the decision maker. Decision making is also the process of sufficiently reducing
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