An Introduction to Fuzzy Linear Programming Problems: Theory, Methods and Applications

✍ Scribed by Jagdeep Kaur, Amit Kumar (auth.)

• Publisher: Springer International Publishing
• Year: 2016
• Tongue: English
• Leaves: 132
• Series: Studies in Fuzziness and Soft Computing 340
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xv
State of the Art....Pages 1-14
Non-negative Fuzzy Optimal Solution of Fully Fuzzy Linear Programming Problems with Equality Constraints....Pages 15-34
Fuzzy Optimal Solution of Fully Fuzzy Linear Programming Problems with Equality Constrains....Pages 35-54
Fuzzy Optimal Solution of Fully Fuzzy Linear Programming Problems with Equality Constraints Having LR Flat Fuzzy Numbers....Pages 55-75
Fuzzy Optimal Solution of Fully Fuzzy Linear Programming Problems with Inequality Constraints Having LR Flat Fuzzy Numbers....Pages 77-108
Unique Fuzzy Optimal Value of Fully Fuzzy Linear Programming Problems with Equality Constraints Having LR Flat Fuzzy Numbers....Pages 109-118
Future Scope....Pages 119-119

✦ Subjects

Computational Intelligence; Operations Research, Management Science; Engineering Economics, Organization, Logistics, Marketing; Artificial Intelligence (incl. Robotics)