Hyper-lattice Algebraic Model for Data Warehousing

This book presents Hyper-lattice, a new algebraic model for partially ordered sets, and an alternative to lattice. The authors analyze some of the shortcomings of conventional lattice structure and propose a novel algebraic structure in the form of Hyper-

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Soumya Sen Agostino Cortesi Nabendu Chaki

Hyper-lattice Algebraic Model for Data Warehousing 123

SpringerBriefs in Applied Sciences and Technology

More information about this series at http://www.springer.com/series/8884

Soumya Sen · Agostino Cortesi · Nabendu Chaki

Hyper-lattice Algebraic Model for Data Warehousing

13

Soumya Sen University of Calcutta Calcutta, West Bengal India

Nabendu Chaki University of Calcutta Calcutta, West Bengal India

Agostino Cortesi Università Ca’ Foscari Venezia Venice Italy

ISSN  2191-530X ISSN  2191-5318  (electronic) SpringerBriefs in Applied Sciences and Technology ISBN 978-3-319-28042-4 ISBN 978-3-319-28044-8  (eBook) DOI 10.1007/978-3-319-28044-8 Library of Congress Control Number: 2015958340 © The Author(s) 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 SpringerNature The registered company is Springer International Publishing AG Switzerland

“Dedicate this work as a tribute to the immortal soul of my parents (Late Rajendra Narayan Sen and Late Sarmila Sen). Their blessings were, as always, the prime mover towards attainment of my goal.” Soumya Sen

Preface

It is an immense pleasure to introduce this book on data warehousing that emphasizes on new algebraic structure and on using appropriate query language for efficient extraction of information from a multi-level storage abstraction. This book is a handbook for future researchers who want to work on data warehousing from modeling perspective. This book focuses on two inherent structures of data warehousing, namely lattice of cuboids and concept hierarchy. We analyze the lattice as an algebraic structure and identify its static nature as a problem. We discuss this problem in the domain of data warehouse. However, the limitation of lattice due to its static nature also persists in other application domains. This problem identified in this book is resolved by a novel algebraic model named Hyper-lattice in