Fuzzy Goal Programming for Agricultural Land Allocation Problems
Yugoslav journal of operations research, Tome 17 (2007) no. 1, p. 31
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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. As a measure of sensitivity, the problem is solved using different weight
structures specified by the decision maker. A case study is provided to illustrate the
usefulness of the method.
Classification :
90C70
Keywords: Fuzzy goal programming, agricultural land allocation, tolerance.
Keywords: Fuzzy goal programming, agricultural land allocation, tolerance.
@article{YJOR_2007_17_1_a2,
author = {Dinesh K. Sharma and R. K. Jana and Avinash Gaur},
title = {Fuzzy {Goal} {Programming} for {Agricultural} {Land} {Allocation} {Problems}},
journal = {Yugoslav journal of operations research},
pages = {31 },
year = {2007},
volume = {17},
number = {1},
zbl = {1150.90022},
language = {en},
url = {http://geodesic.mathdoc.fr/item/YJOR_2007_17_1_a2/}
}
TY - JOUR AU - Dinesh K. Sharma AU - R. K. Jana AU - Avinash Gaur TI - Fuzzy Goal Programming for Agricultural Land Allocation Problems JO - Yugoslav journal of operations research PY - 2007 SP - 31 VL - 17 IS - 1 UR - http://geodesic.mathdoc.fr/item/YJOR_2007_17_1_a2/ LA - en ID - YJOR_2007_17_1_a2 ER -
Dinesh K. Sharma; R. K. Jana; Avinash Gaur. Fuzzy Goal Programming for Agricultural Land Allocation Problems. Yugoslav journal of operations research, Tome 17 (2007) no. 1, p. 31 . http://geodesic.mathdoc.fr/item/YJOR_2007_17_1_a2/