Fuzzy Parameterized CR-Fuzzy Soft Sets and Some Set Operations

Erduran F. S., Munusoglu Y.

8th International conference Approximation Theory and Special Functions, ATSF 2024, Ankara, Turkey, 4 - 07 September 2024, vol.503 PROMS, pp.497-510, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 503 PROMS
  • Doi Number: 10.1007/978-3-031-93279-3_27
  • City: Ankara
  • Country: Turkey
  • Page Numbers: pp.497-510
  • Keywords: CR-fuzzy set, CR-fuzzy soft set, Soft set
  • Gazi University Affiliated: Yes

Abstract

In our daily lives, the number and variety of uncertainty problems we encounter in fields such as engineering, health, economics and law are increasing. Highly effective methods are being produced to cope with uncertainties. Hybrid versions of fuzzy sets and their derivatives and soft sets especially give very successful results in this regard. In this study, we introduce fuzzy parameterized cube root fuzzy (CR-fuzzy) soft set, a new hybrid set, and give some set operations. These sets are quite successful in decision-making processes. It will make a significant contribution, especially in solving multi-criteria decision-making problems.