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An Introduction to Fuzzy Linear Programming Problems

Theory, Methods and Applications

  • Jagdeep Kaur
  • Amit Kumar

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 340)

About this book

Introduction

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 and decision variables are represented by non-negative fuzzy numbers.  It presents new methods developed by the authors, as well as existing methods developed by others, and their application to real-world problems, including fuzzy transportation problems. Moreover, it compares the outcomes of the different methods and discusses their advantages/disadvantages. As the first work to collect at one place the most important methods for solving fuzzy linear programming problems, the book represents a useful reference guide for students and researchers, providing them with the necessary theoretical and practical knowledge to deal with linear programming problems under uncertainty.

Keywords

Fuzzy Optimal Solution Fuzzy Optimal Value LR Flat Fuzzy Numbers Equality and Inequality Constraints Unrestricted Fuzzy Variables LR Fuzzy Parameters Linear Ranking Function Crisp Linear Programming Problems Fuzzy Transportation Problems FFLP Problems

Authors and affiliations

  • Jagdeep Kaur
    • 1
  • Amit Kumar
    • 2
  1. 1.School of Mathematics PunjabThapar UniversityPatialaIndia
  2. 2.School of Mathematics PunjabThapar UniversityPatialaIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-31274-3
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-31273-6
  • Online ISBN 978-3-319-31274-3
  • Series Print ISSN 1434-9922
  • Series Online ISSN 1860-0808
  • Buy this book on publisher's site