Abstract:
A Fully Fuzzy Linear Programming (FFLP) formulation
for the reservoir operation of a
multipurpose reservoir in presented in the ongoing
paper. In the real world, water resources
systems usually have complexities among social, eco
nomic, natural resources and
environmental aspects, which lead to multi-objectiv
e problems of significant uncertainties in
system parameters, objectives and in their interact
ions. These uncertainties in FFLP
reservoir operation model are considered by being t
reated as fuzzy sets. In the present study,
an FFLP reservoir operation model is developed wher
e all parameters and decision variables
are fuzzy numbers. The developed model is demonstra
ted through a case study of Jayakwadi
reservoir stage–II, Maharashtra, India with the obj
ectives of maximization of annual releases
for irrigation and hydropower generation. The FFLP
reservoir operation model is solved to
obtain a compromised solution by simultaneously opt
imizing the fuzzified objectives and the
corresponding degree of truthfulness, using linear
membership function. The degree of
correspondence (Correspondence) obtained is equal t
o 0.78 and the corresponding annual
releases for irrigation amount of 367 Mm
3
and while annual releases for hydropower
generation being 216 Mm
3
. the present study clearly demonstrates that, use
of FFLP in
multipurpose reservoir system optimization presents
a potential alternative to attain an
optimal operating policy.
Keywords:
Fully fuzzy linear programming, Fuzzy decision var
iable, Reservoir operation,
Triangular fuzzy numbers.