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This study introduces an advanced decision-making framework utilizing Double Hierarchy Hesitant Fuzzy Linguistic Term Sets (HFLTSs) to capture nuanced expert judgments using Einstein’s operational laws. We propose novel operators for aggregation, such as the Double Hierarchy Einstein Weighted Geometric and Averaging operators, which are rigorously analyzed for essential mathematical properties such as commutativity and associativity. We also discuss similarity measures and comparison methods.

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Double Hierarchy Hesitant Fuzzy Linguistic Term Sets Using Einstein Operations

  • 会议论文

  • 发表日期：

    2025年

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  • Muhammad Gulistan,
  • Abdul Qadeer,
  • Syed Zaheer Abbas

摘要

This study introduces an advanced decision-making framework utilizing Double Hierarchy Hesitant Fuzzy Linguistic Term Sets (HFLTSs) to capture nuanced expert judgments using Einstein’s operational laws. We propose novel operators for aggregation, such as the Double Hierarchy Einstein Weighted Geometric and Averaging operators, which are rigorously analyzed for essential mathematical properties such as commutativity and associativity. We also discuss similarity measures and comparison methods.