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Linear and Multiobjective Programming with Fuzzy Stochastic Extensions (Paperback, Softcover reprint of the original 1st ed. 2013)
Loot Price: R2,535
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Linear and Multiobjective Programming with Fuzzy Stochastic Extensions (Paperback, Softcover reprint of the original 1st ed. 2013)
Series: International Series in Operations Research & Management Science, 203
Expected to ship within 10 - 15 working days
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Although several books or monographs on multiobjective optimization
under uncertainty have been published, there seems to be no book
which starts with an introductory chapter of linear programming and
is designed to incorporate both fuzziness and randomness into
multiobjective programming in a unified way. In this book, five
major topics, linear programming, multiobjective programming, fuzzy
programming, stochastic programming, and fuzzy stochastic
programming, are presented in a comprehensive manner. Especially,
the last four topics together comprise the main characteristics of
this book, and special stress is placed on interactive decision
making aspects of multiobjective programming for human-centered
systems in most realistic situations under fuzziness and/or
randomness. Organization of each chapter is briefly summarized as
follows: Chapter 2 is a concise and condensed description of the
theory of linear programming and its algorithms. Chapter 3
discusses fundamental notions and methods of multiobjective linear
programming and concludes with interactive multiobjective linear
programming. In Chapter 4, starting with clear explanations of
fuzzy linear programming and fuzzy multiobjective linear
programming, interactive fuzzy multiobjective linear programming is
presented. Chapter 5 gives detailed explanations of fundamental
notions and methods of stochastic programming including two-stage
programming and chance constrained programming. Chapter 6 develops
several interactive fuzzy programming approaches to multiobjective
stochastic programming problems. Applications to purchase and
transportation planning for food retailing are considered in
Chapter 7. The book is self-contained because of the three
appendices and answers to problems. Appendix A contains a brief
summary of the topics from linear algebra. Pertinent results from
nonlinear programming are summarized in Appendix B. Appendix C is a
clear explanation of the Excel Solver, one of the easiest ways to
solve optimization problems, through the use of simple examples of
linear and nonlinear programming.
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