Improving Decision-Making Under Uncertainty: A Comparative Study of Fuzzy Set Extensions

Authors

  • Suhail Ahmad Ganai lovely professional university
  • Nitin Bhardwaj
  • Riyaz Ahmad Padder

Abstract

Fuzzy sets have revolutionized decision-making by providing a mathematical tool for modeling
uncertainty and imprecision. However, traditional fuzzy sets may not be sufficient in certain
situations, leading to the development of extensions such as Type-2 fuzzy sets, Intuitionistic
fuzzy sets, and Type-2 intuitionistic fuzzy sets. This paper provides an overview of these sets,
comparing and contrasting them using operations of union, intersection, and distance measures.
Additionally, a new distance measure is proposed for Type-2 intuitionistic fuzzy sets, which
is demonstrated with a numerical example. By understanding the properties and applications
of these sets, informed decisions can be made in real-world situations with uncertainty and
imprecision.

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Published

2023-07-05