Fuzzy Transportation and Transshipment Problems

Description

This book presents a novel approach to the formulation and solution of three classes of problems: the fully fuzzy transportation problem, the fully fuzzy transshipment problem, and fully fuzzy solid transportation problem. It points out some limitations of the existing formulations and approaches, indicating some possible, conceptually and algorithmically attractive solutions to alleviate them. In particular, the book describes new conceptual and algorithmic solutions for finding the fuzzy optimal solutions of the single-objective fully fuzzy transportation problems, the fully fuzzy transshipment problems and the fully fuzzy solid transportation problems. Moreover, based on the novel concepts and solutions proposed by combining the concept of a fully fuzzy solid transportation problem and a fully fuzzy transshipment problem, it describes a new class of problems, i.e. the fully fuzzy solid trans-shipment problem, together with its fuzzy linear programming formulation and some methods to find its fuzzy optimal solution. The book offers the readers a timely piece of literature in the field of fuzzy linear programming, and is expected to act as a source of inspiration for future research and applications. Front Matter ....Pages i-ix Introduction (Amarpreet Kaur, Janusz Kacprzyk, Amit Kumar)....Pages 1-10 A Brief Introduction to Fuzzy Sets (Amarpreet Kaur, Janusz Kacprzyk, Amit Kumar)....Pages 11-29 A Brief Introduction to Fuzzy Optimization and Fuzzy Mathematical Programming (Amarpreet Kaur, Janusz Kacprzyk, Amit Kumar)....Pages 31-45 New Methods for Solving Fully Fuzzy Transportation Problems with Trapezoidal Fuzzy Parameters (Amarpreet Kaur, Janusz Kacprzyk, Amit Kumar)....Pages 47-80 New Methods for Solving the Fully Fuzzy Transportation Problems with the LR Flat Fuzzy Numbers (Amarpreet Kaur, Janusz Kacprzyk, Amit Kumar)....Pages 81-101 New Improved Methods for Solving the Fully Fuzzy Transshipment Problems with Parameters Given as the LR Flat Fuzzy Numbers (Amarpreet Kaur, Janusz Kacprzyk, Amit Kumar)....Pages 103-144 New Methods for Solving Fully Fuzzy Solid Transportation Problems with LR Fuzzy Parameters (Amarpreet Kaur, Janusz Kacprzyk, Amit Kumar)....Pages 145-184 New Methods for Solving Fully Fuzzy Solid Transshipment Problems with LR Flat Fuzzy Numbers (Amarpreet Kaur, Janusz Kacprzyk, Amit Kumar)....Pages 185-226 Conclusions and Future Research Directions (Amarpreet Kaur, Janusz Kacprzyk, Amit Kumar)....Pages 227-228