<p>Multi-criteria group decision making (MCGDM) is crucial in evaluating alternatives in complex decision-making scenarios. The formulation of lattice-ordered complex linear diophantine fuzzy soft set (LOCLDFSS) uses a parametrization tool to enable a variety of real-life problems with an attribute set of components arranged hierarchically within a complex frame of reference. Several operations on LOCLDFSS are presented jointly with the theorems and proofs. Moreover, an MCGDM methodology is implemented based on a choice matrix to ensure systematic decision making. Eventually, a case study of maritime navigation is conducted to validate the effectiveness of the proposed methodology, emphasizing the importance of selecting a reliable buoy manufacturer to enhance safety and reduce disaster risks. The proposed method determines the optimal decision in multi-criteria analysis through a structured evaluation of hierarchical attributes, rather than relying solely on majority consensus</p>

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An advanced algorithmic approach based on lattice-ordered complex linear diophantine fuzzy soft set with an associated navigational case study

  • K. Ashma Banu,
  • J. Vimala,
  • F. Karaaslan,
  • S. Nithya Sri

摘要

Multi-criteria group decision making (MCGDM) is crucial in evaluating alternatives in complex decision-making scenarios. The formulation of lattice-ordered complex linear diophantine fuzzy soft set (LOCLDFSS) uses a parametrization tool to enable a variety of real-life problems with an attribute set of components arranged hierarchically within a complex frame of reference. Several operations on LOCLDFSS are presented jointly with the theorems and proofs. Moreover, an MCGDM methodology is implemented based on a choice matrix to ensure systematic decision making. Eventually, a case study of maritime navigation is conducted to validate the effectiveness of the proposed methodology, emphasizing the importance of selecting a reliable buoy manufacturer to enhance safety and reduce disaster risks. The proposed method determines the optimal decision in multi-criteria analysis through a structured evaluation of hierarchical attributes, rather than relying solely on majority consensus