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A Novel Approach to Crop Cultivation via Bipolar Interval‐Valued Intuitionistic Fuzzy Bidirectional Projection Measure

Author

Listed:
  • Suganya Manivannan
  • Latha Mani
  • Prasantha Bharathi Dhandapani
  • Md. Fayz-Al-Asad

Abstract

In this study, we introduce a bipolar interval‐valued intuitionistic fuzzy (BIVIF) norm, projection, and bidirectional projection measure within the framework of BIVIF topological spaces. These tools enable us to handle ambiguity with greater accuracy, calculate relationships between sets more effectively, and make rational decisions in uncertain situations. Our approach combines practical calculation procedures with carefully established axioms, ensuring both mathematical soundness and real‐world applicability. The effectiveness of the proposed BIVIF framework is demonstrated in the context of agricultural decision‐making, where the bidirectional projection measure is applied to identify the most profitable crops for farmers. The results show that BIVIF sets provide a stronger and more reliable framework than bipolar intuitionistic fuzzy (BIF) sets, thereby supporting well‐informed decisions that optimize crop yield and profitability.

Suggested Citation

  • Suganya Manivannan & Latha Mani & Prasantha Bharathi Dhandapani & Md. Fayz-Al-Asad, 2025. "A Novel Approach to Crop Cultivation via Bipolar Interval‐Valued Intuitionistic Fuzzy Bidirectional Projection Measure," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jjmath:v:2025:y:2025:i:1:n:5862766
    DOI: 10.1155/jom/5862766
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    1. Asima Razzaque & Ibtisam Masmali & Rimsha Hassan & Umer Shuaib & Abdul Razaq & Ghaliah Alhamzi & Saima Noor, 2023. "A Modern Strategy for the Selection of Efficacious Solar Panels at Industrial Level under an Interval-Valued Picture Fuzzy Set Hybrid Environment," Energies, MDPI, vol. 16(14), pages 1-22, July.
    2. Revathy Aruchsamy & Inthumathi Velusamy & Prasantha Bharathi Dhandapani & Suleman Nasiru & Christophe Chesneau & Ghous Ali, 2024. "Modern Approach in Pattern Recognition Using Circular Fermatean Fuzzy Similarity Measure for Decision Making with Practical Applications," Journal of Mathematics, Hindawi, vol. 2024, pages 1-21, May.
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