Novel Decomposed Fermatean Fuzzy Sets and an Application to TOPSIS Method

TÜYSÜZ N., TÜYSÜZ F.

7th International Conference on Intelligent and Fuzzy Systems, INFUS 2025, İstanbul, Turkey, 29 - 31 July 2025, vol.1528 LNNS, pp.262-269, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1528 LNNS
  • Doi Number: 10.1007/978-3-031-97985-9_30
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.262-269
  • Keywords: Decomposed fuzzy sets, Fermatean fuzzy sets, TOPSIS method
  • Istanbul University Affiliated: No

Abstract

This study proposes novel decomposed Fermatean fuzzy sets that incorporate membership and non-membership functions with functional and dysfunctional perspectives. First, definitions, basic arithmetic operations of decomposed Fermatean fuzzy sets are presented. Then, a novel decomposed Fermatean fuzzy TOPSIS method is developed to demonstrate the ability of the proposed decomposed Fermatean fuzzy sets to be modeled by multi-criteria decision making methods. In order to show its usefulness, an illustrative example is finally provided.