A Benchmark Similarity Measures for Fermatean Fuzzy Sets Cover Image

A Benchmark Similarity Measures for Fermatean Fuzzy Sets
A Benchmark Similarity Measures for Fermatean Fuzzy Sets

Author(s): Faiz Muhammad Khan, Imran Khan, Waqas Ahmed
Subject(s): Philosophy, Logic, Philosophy of Science
Published by: Wydawnictwo Uniwersytetu Łódzkiego
Keywords: Fermatean fuzzy set; similarity measure; S-similarity measure

Summary/Abstract: In this paper, we utilized triangular conorms (S-norm). The essence of using S-norm is that the similarity order does not change using different norms. In fact, we are investigating for a new conception for calculating the similarity of two Fermatean fuzzy sets. For this purpose, utilizing an S-norm, we first present a formula for calculating the similarity of two Fermatean fuzzy values, so that they are truthful in similarity properties. Following that, we generalize a formula for calculating the similarity of the two Fermatean fuzzy sets which prove truthful in similarity conditions. Finally, various numerical examples have been presented to elaborate this method.

  • Issue Year: 51/2022
  • Issue No: 2
  • Page Range: 207-226
  • Page Count: 20
  • Language: English