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<p>This study introduces a novel approach to the triangular fuzzy number (TFN)-valued generalized Choquet integral, which is based on a rigorously defined TFN-valued Choquet capacity. The paper establishes the fundamental properties of this capacity, offering a solid theoretical foundation. Building on these properties, the study extends its application to the construction of the TFN-valued Shannon entropy, and explores its key characteristics in detail. To clarify the concept, illustrative examples are provided, highlighting the TFN-valued Shannon entropy and its connection with the TFN-valued generalized Choquet expected utility (TG-CEU). These theoretical developments are further linked to practical applications, with a specific focus on the semiconductor industry. Through this, the study establishes the relevance of the entropy in trade analysis and decision-making processes under uncertainty.</p>

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Applications on TFN-valued shannon entropy and TGC-integrals

  • 期刊论文

  • 发表日期：

    2026年2月3日

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  • Dojin Kim,
  • Junghwa Choi,
  • Lee-Chae Jang

摘要

This study introduces a novel approach to the triangular fuzzy number (TFN)-valued generalized Choquet integral, which is based on a rigorously defined TFN-valued Choquet capacity. The paper establishes the fundamental properties of this capacity, offering a solid theoretical foundation. Building on these properties, the study extends its application to the construction of the TFN-valued Shannon entropy, and explores its key characteristics in detail. To clarify the concept, illustrative examples are provided, highlighting the TFN-valued Shannon entropy and its connection with the TFN-valued generalized Choquet expected utility (TG-CEU). These theoretical developments are further linked to practical applications, with a specific focus on the semiconductor industry. Through this, the study establishes the relevance of the entropy in trade analysis and decision-making processes under uncertainty.