Recently, finding sustainable solutions
to deal with the environmental
and social problems emerging from the combustion of fossil fuels in
the transportation sector has attracted much interest. This paper
proposes an integrated, multiperiod, mixed-integer, nonlinear programming
model to design a biodiesel supply-chain network under uncertainty.
To deal with the uncertainty of the parameters of the proposed model,
a novel formulation of a possibilistic programming model based on
possibilistic mean and absolute deviation of fuzzy numbers is proposed.
The proposed model, called the possibilistic mean–absolute
deviation model, utilizes not only the advantages of previous possibilistic
programming methods, such as simultaneously handling the uncertainty
and the flexibility in goals and constraints, but also balances mean
and risk values of an objective function, including uncertain coefficients
according to Decision-Maker’s (DM) preferences. A real case
study is conducted in Iran to evaluate the performance and efficiency
of the proposed model. The proposed approach has better performance
than a pure possibilistic programming model, and its results are justified
by the robust possibilistic programming approaches.