Artificial Intelligence Techniques Applied to the Optimization of Micro-Irrigation Systems by the Zimmermann-Werner Method

Abstract

Optimal solutions derived from linear programming models depend entirely on input parameters, which may present some imprecision because they come from estimates. Fuzzy linear programming allows the incorporation of these uncertainties in linear models, which can include the flexibility of resources, costs, goals, and constraints. This paper aimed to show new optimal solutions for a model to minimize the equivalent annual cost of micro-irrigation systems on sloping terrains. The Zimmermann-Werner fuzzy linear programming method, whose objective function is diffuse due to the restrictions of the hydraulic network being dispersed, was used. Sixty models were created and all solutions were satisfactory, with an annual cost of the irrigation system lower than the original model. The lowest value was US$ 238.74 ha −1 , which occurred on the 3% slope. A reduction was observed in the annual cost due to the increased use of pipes with a 50mm nominal diameter in the secondary line. Thus, fuzzy linear programming provided better solutions with small modifications to the irrigation system, while maintaining all hydraulic network requirements for proper system operation.

Estimativa da produtividade de cana-de-açúcar: Uma abordagem utilizando lógica fuzzy

“…These systems have been widely employed in Agricultural Sciences, including poultry companies and production (CREMASCO; GABRIEL FILHO; CATANEO, 2010;PEREIRA et al, 2008), cattle farming (GABRIEL FILHO et al, 2011, 2016MAZIERO et al, 2022), irrigation engineering (BOSO et al, 2021a, b;SAAD;GABRIEL FILHO, 2022;GABRIEL FILHO et al, 2022a, b;MATULOVIC et al, 2021;PUTTI et al, 2017PUTTI et al, , 2021VIAIS NETO et al, 2019a, b), optimization of agricultural implements (GÓES et al, 2022), enhancement of plant vitality (PUTTI et al, 2014(PUTTI et al, , 2017, the agricultural product market (GABRIEL FILHO;PIGATTO;LOURENZANI, 2015;MARTÍNEZ et al, 2020;OLIVEIRA et al, 2021), among others. Specifi cally in the sugar-alcohol sector, applications of fuzzy systems in the classifi cation of sugarcane productivity (NATARAJAN; SUBRAMANIAN; PAPAGEORGIOU, 2016), combustion control in bagasse boilers (MELLO; CRUZ; SOUSA JÚNIOR, 2019), and weed detection in sugarcane fi elds (SUJARITHA et al, 2017) stand out.…”

Fuzzy modeling of biometric variables development of tomato crop under irrigation and water salinity effects

“…Viais Neto et al (2018) used fuzzy modeling to study the effects of different doses of polymers applied to the substrate with irrigation levels on the development of cherry tomato seedlings up to the transplanting stage, aiming to weave optimal points relative to seedling management. Also, Castro, Saad, and Gabriel Filho (2022) used artificial intelligence techniques applied to the optimization of micro-irrigation systems by the Zimmermann-Werner method for the resolution of fuzzy linear programming problems.…”