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In this chapter another extension of fuzzy sets and numbers is focused. For this aim the Fermatean fuzzy sets, proposed by (Senapati and Yager in J. Ambient. Intell. Humaniz. Comput. 11:663–674, 2020), are considered and detailed here. This type of fuzzy sets is an extension of Pythagorean fuzzy sets where there is a condition that the sum of cubic values of the membership and non-membership values could not exceed 1 (say, \(0 \le \mu (x)^{3} + \nu \left( x \right)^{3} \le 1\) ). Like other types of fuzzy sets, the Fermatean fuzzy sets and numbers can be used to reflect the uncertain nature of the real-world problems.

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Fermatean Fuzzy Sets

  • 章节

  • 发表日期：

    2026年

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  • Ali Mahmoodirad,
  • Harish Garg,
  • Sadegh Niroomand

摘要

In this chapter another extension of fuzzy sets and numbers is focused. For this aim the Fermatean fuzzy sets, proposed by (Senapati and Yager in J. Ambient. Intell. Humaniz. Comput. 11:663–674, 2020), are considered and detailed here. This type of fuzzy sets is an extension of Pythagorean fuzzy sets where there is a condition that the sum of cubic values of the membership and non-membership values could not exceed 1 (say, \(0 \le \mu (x)^{3} + \nu \left( x \right)^{3} \le 1\) ). Like other types of fuzzy sets, the Fermatean fuzzy sets and numbers can be used to reflect the uncertain nature of the real-world problems.