International Journal of Neutrosophic Science

Journal DOI

https://doi.org/10.54216/IJNS

Submit Your Paper

2690-6805ISSN (Online) 2692-6148ISSN (Print)

Volume 26 , Issue 4 , PP: 361-372, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

Fuzzy-Soft Modeling to Determine the Best Fertilizer for Lactuca sativa L. Crop Considering Three Agronomic Variables

Himera Hamburguer 1 , Vicente Vergara-Fl´orez 2 , Kandy Ferrer Sotelo 3 , Osmin Ferrer Villar 4 , Jos´e Sanabria 5 *

  • 1 Universidad de Sucre, Facultad de Ingenier´ıa, Sincelejo, Colombia - (himerahamsa@gmail.com)
  • 2 Universidad de Sucre, Facultad de Ingenier´ıa, Sincelejo, Colombia - (viceunisucre@yahoo.com)
  • 3 Universidad Pontificia Bolivariana, Facultad de Ingenier´ıas y Arquitectura, Monter´ıa, Colombia - (kandy.ferrer@upb.edu.co)
  • 4 Universidad de Sucre, Facultad de Educaci´on y Ciencias, Sincelejo, Colombia - (osmin.ferrer@unisucre.edu.co)
  • 5 Universidad de Sucre, Facultad de Educaci´on y Ciencias, Sincelejo, Colombia - (jose.sanabria@unisucre.edu.co)
  • Doi: https://doi.org/10.54216/IJNS.260430

    Received: January 23, 2025 Revised: March 03, 2025 Accepted: June 05, 2025
    Abstract

    Set-based theories have become key tools to address uncertainty and imprecision in complex systems. Fuzzy sets model gradual membership, soft sets add flexibility through parameterization, and neutrosophic sets generalize both by incorporating truth, indeterminacy, and falsity degrees. In this manuscript, a fuzzy-soft expert system is described to determine the efficiency of different fertilizations in lettuce (Lactuca sativa L.) crops considering agronomic variables such as fresh weight (FW), number of leaves (NL), and crown diameter (CD). The model, based on fuzzy membership functions and soft set operations, effectively manages the un- certainty inherent in agricultural data and provides a novel decision-support tool. Although this work focuses on fuzzy and soft sets, its extension to the neutrosophic framework could further enrich the analysis by ex- plicitly modeling indeterminacy and inconsistency, offering a more comprehensive approach to agricultural decision-making.

    Keywords :

    Fuzzy set , Soft set , Biomass , Agriculture , Lattuce

    References

    [1] L. A. Achucarro, Din´amica de degradaci´on de esti´ercol y digerido bovino en dos suelos del sudoeste bonaerense, Tesis de Grado, Universidad Nacional del Sur, Argentina, 2022.

     

    [2] M. Aeberhard, J. Corace, P. Martina, E. Garc´ıa, G. Tortosa, A. Ventin, Procesos de mejoramiento en el rendimiento del aserr´ın utilizado como materia org´anica en un biodigestor, Avances en Energ´ıas Renov-ables y Medio Ambiente 11 (2007), 11-15.

     

    [3] J. C. R. Alcantud, A. Z. Khameneh, G. Santos-Garc´ıa, M. Akram, A systematic literature review of soft set theory, Neural Computing and Applications 36 (2024), 8951-8975.

     

    [4] G. N. Al-Karaki, Y. Othman, Effect of foliar application of amino acid biostimulants on growth, macronutrient, total phenol contents and antioxidant activity of soilless grown lettuce cultivars, South African Journal of Botany 154 (2023), 225-231.

     

    [5] A. Christou, M. Stylianou, C. Georgiadou, S. Gedeon, A. Ioannou, C. Michael, P. Papanastasiou, V. Fotopoulos, D. Fatta-Kassinos, Effects of biochar derived from the pyrolysis of either biosolids, manure or spent coffee grounds on the growth, physiology and quality attributes of field-grown lettuce plants, Environmental Technology & Innovation 26 (2022), 102263.

     

    [6] A. K. Essa1, R. Sabbagh, A. A. Salama, H. E. Khalid, A.-A. A. Aziz, A. A. Mohammed, An overview of neutrosophic theory in medicine and healthcare, Neutrosophic Sets and Systems 61(1) (2023), 196-208.

     

    [7] H. T. Hinostroza Robles, M. T. Cabanillas L´opez, F. D. Huasco Espinoza, Analysis of the evolution of Social competence in students through research methods based on neutrosophic sets, Neutrosophic Sets and Systems 74(1) (2024), 24-36.

     

    [8] M. Hungria, M. A. Nogueira, Fixac¸ ˜ao biol´ogica de nitrogˆenio, Em: C. Seixas, N. Neumaier, A. Junior, F. Krzyzanowski, R. Bˆoas, Tecnologias de produc¸ ˜ao de soja, Sistemas de Produc¸ ˜ao 17 (2020), 185-195.

     

    [9] L. F. Kebalo, P. Garnier, L. Vieubl´e Gonod, S. Houot, Using bio-based fertilizer derived from peri-urban wastes affects soil properties and lettuce yield and quality, Scientia Horticulturae 324 (2024), 112599.

     

    [10] Lettuce Market Analysis, Size, Share, Growth & Trends 2032. SkyQuest (2024), 157 pages.

     

    [11] Y. Li, M. Zhang, An extended power geometric technique for multiple-attribute decision-making under single-valued neutrosophic sets and applications to embedded computers’ performance evaluation, Soft Computing 28 (2024), 10301–10316.

     

    [12] G. M. Mart´ınez, V. H. Su´arez, Bienestar de las vacas lecheras en los sistemas de compost barn, Ciencia Veterinaria 24(2) (2022), 131-149.

     

    [13] N. V. Mart´ınez Esteban, Efecto de los abonos org´anicos en el rendimiento de la lechuga (Lactuca sativa L.) en condiciones del CIFO–UNHEVAL, Hu´anuco 2020, Tesis de Grado, Universidad Nacional Hermilio Valdiz´an, Per´u, 2022

     

     [14] T. Meskelu, A. F. Senbeta, Y. G. Keneni, S. Getachew, Growth and marketable yield of lettuce (Lactuca sativa L.) as affected by bio-slurry and chemical fertilizer application, Heliyon 10(1) (2024), e23600.

     

    [15] G. Navarro Garc´ıa, S. Navarro Garc´ıa, Fertilizantes: Qu´ımica y acci´on, Segunda Edici´on, MundiPrensa, Espa˜na, 2023.

     

    [16] A. M. Oc´on G´omez, Comportamiento agron´omico de cuatro variedades de lechuga (Lactuca sativa L) en sistema Biointensivo, Centro experimental, El Plantel 2023, Tesis de Grado, Universidad Nacional Agraria, Nicaragua, 2024.

     

    [17] C. R. Ortiz Argueta, Pr´acticas para la mejora en el proceso de compostaje de abonos org´anicos elaborados a base de esti´ercol y su efecto en el suelo: Revisi´on de literatura, Tesis de Grado, Escuela Agr´ıcola Panamericana, Honduras, 2020.

     

    [18] M. Ortiz Mackinson, B. Bonel, R. Grasso, R. Rotondo, D. M. Balaban, E. Vita Larrieu, Utilizaci´on de compost de cama profunda porcina como abono org´anico en un sistema productivo de lechuga (Lactuca sativa L.) a campo, Revista Ciencias Agron´omicas 40 (2022), e023.

     

    [19] R. Ortiz, G. Gasc´o, A. M´endez, A. Obrador, D. Gonz´alez, P. Almendros, Zinc biofortification of lettuce using environmentally friendly zinc sources in an acidic soil, Scientia Horticulturae 338 (2024), 113620.

     

    [20] A. V. Paredes Peralta, Z. R. Guzm´an Brito, Revisi´on bibliogr´afica del efecto de la adici´on de esti´ercol bovino en la producci´on agr´ıcola, Conciencia Digital 7(4) (2024), 87-102.

     

    [21] H. Paterlini, M. V. Gonz´alez, L. I. Picone, Producci´on de lechuga en un suelo con aplicaci´on de compost de cama de pollo, Ciencias del Suelo 37(1) (2019), 38-50.

     

    [22] P. Rani Das, D. S. Del Moro, S. R. Givens, S. P. Armstrong, K. J. Walters, Propagation light intensity influences yield, morphology, and phytochemistry of purple-leaf butterhead lettuce (Lactuca sativa), Journal of Agriculture and Food Research 16 (2024), 101210.

     

    [23] B. Qiang, Z. Yan, X. Zhang, M. Cheng, Y. Wu, N. Tang, B. C. Timbang, T. Cai, E. Liu, X. Zhao, X. Ren, X. Chen, 2025. Elevating crop productivity and sustainability: The role of organic fertilizers in shaping wheat’s nitrogen economy and photosynthetic response, European Journal of Agronomy 170, (2025).

     

     [24] J. Sanabria, M. ´Alvarez, O. Ferrer, Fuzzy set and soft set theories as tools for vocal risk diagnosis, Applied Computational Intelligence and Soft Computing 2023(1) (2023), 5525978, 12 pages.

     

    [25] O. Santos, D. Vaz, F. Sebasti˜ao, H. Sousa, J. Vieira, Wastewater as a nutrient source for hydroponic  production of lettuce: Summer and winter growth, Agricultural Water Management 301 (2024), 108966.

     

    [26] A. Savitha Mary, D. Sarukasan, C. Kayelvizhi, L. Jethruth Emelda Mary, F. Josephine Daisy, K. Pitchaimani, An application of site selection for solid waste management system using neutrosophic set, Neutrosophic Sets and Systems 85(1) (2025), 748-765.

     

    [27] S. Smole´n, I. Kowalska, L. Skoczylas, M. Tabaszewska, J. Pitala, J. Mro˙zek, P. Kov´aˇcik, Effectiveness of enriching lettuce with iodine using 5-iodosalicylic and 3,5-diiodosalicylic acids and the chemical composition of plants depending on the type of soil in a pot experiment, Food Chemistry 382 (2022),, 132347.

     

    [28] A. K. Varshney and V. Torra, Literature review of the recent trends and applications in various fuzzy rule-based systems, International Journal of Fuzzy Systems 25 (2023), 2163–2186.

     

    [29] Y. Wang, N. Akdeniz, Utilizing co-composted biochar as a growing medium for buttercrunch lettuce, Environmental Challenges 13 (2023), 100748.

     

    [30] R. Wang, Y. Zhao, X. Xie, T. Mohamed, L. Zhu, Y. Tang, Y. Chen, Z. Wei, Role of NH3 recycling on nitrogen fractions during sludge composting, Bioresource Technology 295 (2020), 122175.

     

    [31] C. Zhu, Z. Lin, W. Fen, W. Jiajia, Z. Xiang, C. Kai, Z. Yu, Z. Kelai, J. Yelin, K. R, Salin, Suitability of coconut bran and biochar as a composite substrate for lettuce cultivation in aquaponic systems, Heliyon 10(15) (2024), e35515.

    Cite This Article As :
    Hamburguer, Himera. , Vergara-Fl´orez, Vicente. , Ferrer, Kandy. , Ferrer, Osmin. , Sanabria, Jos´e. Fuzzy-Soft Modeling to Determine the Best Fertilizer for Lactuca sativa L. Crop Considering Three Agronomic Variables. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 361-372. DOI: https://doi.org/10.54216/IJNS.260430
    Hamburguer, H. Vergara-Fl´orez, V. Ferrer, K. Ferrer, O. Sanabria, J. (2025). Fuzzy-Soft Modeling to Determine the Best Fertilizer for Lactuca sativa L. Crop Considering Three Agronomic Variables. International Journal of Neutrosophic Science, (), 361-372. DOI: https://doi.org/10.54216/IJNS.260430
    Hamburguer, Himera. Vergara-Fl´orez, Vicente. Ferrer, Kandy. Ferrer, Osmin. Sanabria, Jos´e. Fuzzy-Soft Modeling to Determine the Best Fertilizer for Lactuca sativa L. Crop Considering Three Agronomic Variables. International Journal of Neutrosophic Science , no. (2025): 361-372. DOI: https://doi.org/10.54216/IJNS.260430
    Hamburguer, H. , Vergara-Fl´orez, V. , Ferrer, K. , Ferrer, O. , Sanabria, J. (2025) . Fuzzy-Soft Modeling to Determine the Best Fertilizer for Lactuca sativa L. Crop Considering Three Agronomic Variables. International Journal of Neutrosophic Science , () , 361-372 . DOI: https://doi.org/10.54216/IJNS.260430
    Hamburguer H. , Vergara-Fl´orez V. , Ferrer K. , Ferrer O. , Sanabria J. [2025]. Fuzzy-Soft Modeling to Determine the Best Fertilizer for Lactuca sativa L. Crop Considering Three Agronomic Variables. International Journal of Neutrosophic Science. (): 361-372. DOI: https://doi.org/10.54216/IJNS.260430
    Hamburguer, H. Vergara-Fl´orez, V. Ferrer, K. Ferrer, O. Sanabria, J. "Fuzzy-Soft Modeling to Determine the Best Fertilizer for Lactuca sativa L. Crop Considering Three Agronomic Variables," International Journal of Neutrosophic Science, vol. , no. , pp. 361-372, 2025. DOI: https://doi.org/10.54216/IJNS.260430