Uncertainty due to randomness of hydraulic and hydrologic variables
is modeled when probability distributions of the parameters may be
estimated. Uncertainties due to imprecision in the management
problem may be addressed by use of the fuzzy sets theory. In
addition, some parameters in most of the water resources and
environmental systems need to be addressed as grey parameters, due
to inadequate data for an accurate estimation but with known
extreme bounds of the parameter values. Such grey uncertainty in
the model parameters can be addressed by representing them as
interval grey numbers, a closed and bounded interval with known
lower and upper bounds but unknown distribution information.
Considerable research works are available on uncertainty modeling
addressing stochastic nature of different input parameters, and
uncertainty due to imprecision in various components of a water
management problem. Most parameters involved in the optimization
model are, however, also uncertain and such uncertainty has so far
not been considered in different optimization models for water
resources and environmental systems. This book aims to bridge this
gap.
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