| Article ID: | iaor19951055 |
| Country: | Netherlands |
| Volume: | 65 |
| Issue: | 1 |
| Start Page Number: | 31 |
| End Page Number: | 49 |
| Publication Date: | Jul 1994 |
| Journal: | Fuzzy Sets and Systems |
| Authors: | Zhong Qiao, Yue Zhang, Guangyuan Wang |
| Keywords: | programming: linear |
The fuzzy random linear programming having fuzzy random variable coefficients and the decision vector of fuzzy pseudorandom variables is studied. The first results show the fact that a fuzzy pseudorandom (resp. fuzzy random) optimization solution of a fuzzy random linear programming may be resolved into a series of pseudorandom (resp. random) optimization solutions of relative random linear programmings. The subsequent conclusions present methods that a fuzzy pseudorandom (resp. fuzzy random) optimization solution of a fuzzy random linear programming is structured by a class of pseudorandom (resp. random) optimization solutions of relative random linear programmings. Finally, some theorems are proved which solve the problems finding the fuzzy probability distribution function and fuzzy mathematical expectation of optimization value for a fuzzy random linear programming. These results reveal properties of a fuzzy random linear programming, and give the solution for a fuzzy random linear programming.