Fuzzy Programming with Nonlinear Membership Function for Multiobjective Solid Transportation Problem with Chance Constraints

摘要

A method for solving a multiobjective solid (three-dimensional) transportation problem with chance constraints has been presented. After converting the proposed model to a deterministic model, fuzzy programming with nonlinear membership function is used to find the solution. Assuming the demand, availability and conveyance capacity are normal random variables the methodology has been presented. In some cases assuming the demand as log-normal or uniform random variable, methodology also has been presented. The method leads to efficient solutions as well as the best compromise solution. An example is included to illustrate the methodology. Fuzzy programming with nonlinear membership function is compared to fuzzy programming with linear membership function with an example.