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A Pythagorean Fuzzy Entropy with Multi-Distributive Weighted Function-Based Decision-Making for Transportation Problem

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Abstract

This research offers a novel approach to enhance the fuzzy systems decision-making process, specifically for the complicated transportation-related scenarios. All other transportation-related domains, including those where conventional multi-criteria decision-making (MCDM) techniques are effective, are inherently unpredictable. The following approach addresses the problems caused by this inherent uncertainty: the Multi-Distributive Weighted Function, which uses distributions such as the t-distribution, gamma distribution, and Poisson distribution to refine decision-makers’ weightings; and the Pythagorean fuzzy entropy method, which ensures accurate weight calculations for criteria. The integration of several methodologies results in a holistic solution to intricate transportation challenges, hence enhancing the dependability and efficiency of decision-making. The Pythagorean fuzzy entropy approach improves attribute selection and ranking accuracy, while the Multi-Distributive Weighted Function (MCDW) guarantees the production of resilient conclusions in the face of decision-makers’ uncertainties. The combined methodology considerably enhances the processes of decision-making in fuzzy systems, especially when uncertainties result in inaccurate conclusions. In order to verify decision-making’s accuracy and efficiency, a sensitivity analysis is used to examine the model’s performance.

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Data Availability

All the data is collected from the simulation reports of the software and tools used by the authors. Authors are working on implementing the same using real-world data with appropriate permissions.

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Funding

On Behalf of all authors the corresponding author states that they did not receive any funds for this project.

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Authors and Affiliations

  1. Department of Mathematics, PSG College of Arts and Science, Coimbatore, 641014, Tamilnadu, India

    K. Senbagam

  2. Department of Mathematics, K.S.R. College of Engineering, Tiruchengode, 637215, Tamilnadu, India

    R. Ramesh

  3. Department of Mathematics, PSG College of Arts and Science, Coimbatore, 641014, Tamilnadu, India

    R. Ramesh

Authors
  1. K. Senbagam
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  2. R. Ramesh
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Contributions

Author 1: Dr. K. Senbagam She participated in the methodology, Conceptualization, Data collection and writing the studyAuthor 2: R. Ramesh He Performed the Analysis the overall concept, writing and editing.

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Correspondence to K. Senbagam.

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Senbagam, K., Ramesh, R. A Pythagorean Fuzzy Entropy with Multi-Distributive Weighted Function-Based Decision-Making for Transportation Problem. Cogn Comput 17, 169 (2025). https://doi.org/10.1007/s12559-025-10525-y

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