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The chapter aims to study the conversion of Type-2 intuitionistic fuzzy set (T2IFS) to interval-valued intuitionistic fuzzy set (IVIFS). A conversion method of T2IFS to IVIFS is presented without any loss of indeterminacy degree exists in intuitionistic fuzzy sets (IFS). The necessary properties related to the conversion are examined thoroughly with proofs, and the conversion is illustrated through numerical examples. Furthermore, the proposed conversion method is implemented to a random T2IF problem from the literature, and the results are analyzed.

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Conversion of Type-2 Intuitionistic Fuzzy Sets into Interval-Valued Intuitionistic Fuzzy Sets and Its Implementation in Decision-Making

  • 会议论文

  • 发表日期：

    2025年

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  • V. Sireesha,
  • N. Annapurna,
  • V. Anusha

摘要

The chapter aims to study the conversion of Type-2 intuitionistic fuzzy set (T2IFS) to interval-valued intuitionistic fuzzy set (IVIFS). A conversion method of T2IFS to IVIFS is presented without any loss of indeterminacy degree exists in intuitionistic fuzzy sets (IFS). The necessary properties related to the conversion are examined thoroughly with proofs, and the conversion is illustrated through numerical examples. Furthermore, the proposed conversion method is implemented to a random T2IF problem from the literature, and the results are analyzed.