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In most of the current multi-criteria group decision-making (MCGDM) scenarios, experts are often viewed as autonomous, with their psychological behaviors seldom considered. Nonetheless, in several instances, the perspectives of experts are likely to affect one another, and these experts frequently exhibit subjective limited rationality during the decision-making process. A linguistic information (LI)-based MCGDM model using the TOPSIS technique and quantum decision theory is designed to address this issue. LI, informed by sample size data, are employed to compile group linguistic evaluations, effectively illustrating both quantitative dispersion and qualitative ambiguity. A comprehensive generalized linguistic TOPSIS technique is introduced to represent the limited rational behaviors of decision-makers. It is utilized to assess the dominance of each choice. A quantum possibilistic aggregation framework is developed to investigate the interference effects among experts' viewpoints. In this procedure, the views of experts are regarded as simultaneously occurring wave functions that interact with one another and affect the cumulative outcome. The comparisons with several current techniques validate the efficacy and stability of the new MCGDM approach.

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Quantum Decision Scenario-Based MAGDM Integrating TOPSIS Under Linguistic Information

  • 章节

  • 发表日期：

    2025年

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  • Arpita Bhowmik,
  • Prasenjit Mandal,
  • Sovan Samanta,
  • Madhumangal Pal

摘要

In most of the current multi-criteria group decision-making (MCGDM) scenarios, experts are often viewed as autonomous, with their psychological behaviors seldom considered. Nonetheless, in several instances, the perspectives of experts are likely to affect one another, and these experts frequently exhibit subjective limited rationality during the decision-making process. A linguistic information (LI)-based MCGDM model using the TOPSIS technique and quantum decision theory is designed to address this issue. LI, informed by sample size data, are employed to compile group linguistic evaluations, effectively illustrating both quantitative dispersion and qualitative ambiguity. A comprehensive generalized linguistic TOPSIS technique is introduced to represent the limited rational behaviors of decision-makers. It is utilized to assess the dominance of each choice. A quantum possibilistic aggregation framework is developed to investigate the interference effects among experts' viewpoints. In this procedure, the views of experts are regarded as simultaneously occurring wave functions that interact with one another and affect the cumulative outcome. The comparisons with several current techniques validate the efficacy and stability of the new MCGDM approach.