Multi-trait decision support in industry using plithogenic Rhotrix

نویسندگان

1 Department of Mathematics, Arul Anandar College (Autonomous), Karmathur, Affiliated to Madurai Kamaraj University, Madurai, Tamil Nadu, India.

2 Department of Mathematics, G.T.N. Arts College (Autonomous), Dindigul, Affiliated to Madurai Kamaraj University, Madurai, Tamil Nadu, India.

doi
10.22105/riej.2025.530322.1616
چکیده

This study proposes a novel extension of the traditional Rhotrix structure by incorporating Plithogenic set theory to support complex decision-making scenarios. The developed framework blends multi-trait Plithogenic logic with Rhotrix configurations to model interrelated investment evaluations more effectively. A new heart-based multiplication operation tailored for Plithogenic fuzzy data is introduced, considering the contradiction grades among diverse trait values. The paper classifies various types of Plithogenic rhotrices and outlines a comprehensive algorithm for implementing the proposed decision-making method. A simulated case study involving companies and investment portfolios illustrates the application of the model using the Plithogenic accuracy function. Comparative results between Plithogenic fuzzy Rhotrix and classical fuzzy Rhotrix reveal that the proposed approach enhances interpretability and precision in multi-trait decision-making. Sensitivity analysis further confirms the robustness of this methodology in handling contradictory and fuzzy information.

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