Article ID: | iaor2009346 |
Country: | Serbia |
Volume: | 17 |
Issue: | 1 |
Start Page Number: | 31 |
End Page Number: | 42 |
Publication Date: | Jan 2007 |
Journal: | Yugoslav Journal of Operations Research |
Authors: | Sharma Dinesh K., Jana R.K., Gaur Avinash |
Keywords: | fuzzy sets, allocation: resources, programming: goal |
This paper presents a fuzzy goal programming (FGP) approach for optimal allocation of land under cultivation and proposes an annual agricultural plan for different crops. In the model formulation, goals such as crop production, net profit, water and labor requirements, and machine utilization are modeled as fuzzy. A tolerance based FGP technique is used to quantify fuzziness of different goals for the problem. The fuzzy goals are transformed to linear constraints by introducing tolerance variables. The program then minimizes the values of the weighted sum of tolerance allowance variables for the highest membership grades, providing the most satisfactory set of allocations possible.