This book offers a comprehensive introduction to fuzzy methods for
solving flow tasks in both transportation and networks. It analyzes the
problems of minimum cost and maximum flow finding with fuzzy nonzero
lower flow bounds, and describes solutions to minimum cost flow finding
in a network with fuzzy arc capacities and transmission costs. After a
concise introduction to flow theory and tasks, the book analyzes two
important problems. The first is related to determining the maximum
volume for cargo transportation in the presence of uncertain network
parameters, such as environmental changes, measurement errors and repair
work on the roads. These parameters are represented here as fuzzy
triangular, trapezoidal numbers and intervals. The second problem
concerns static and dynamic flow finding in networks under fuzzy
conditions, and an effective method that takes into account the
network's transit parameters is presented here. All in all, the book
provides readers with a practical reference guide to state-of-the art
fuzzy methods for solving flow tasks and offers a valuable resource for
all researchers and postgraduate students in the fields of network
theory, fuzzy models and decision-making.