On the Temporal Intuitionistic Fuzzy Sets

Atanassov K. T.

4th International Conference on Intelligent and Fuzzy Systems (INFUS), Bornova, Turkey, 19 - 21 July 2022, vol.504, pp.519-528 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 504
  • Doi Number: 10.1007/978-3-031-09173-5_61
  • City: Bornova
  • Country: Turkey
  • Page Numbers: pp.519-528
  • Keywords: Intuitionistic fuzzy operator, Intuitionistic Fuzzy Set, Temporal intuitionistic fuzzy operator, Temporal Intuitionistic Fuzzy Set
  • Yıldız Technical University Affiliated: No


The Temporal Intuitionistic Fuzzy Sets (TIFSs) are one of the essential extensions of the ordinary Intuitionistic Fuzzy Sets (IFSs). For them different operations, relations and operators (from modal, topological and level-types) have been defined and their basic properties have been studied. In all the research by this moment, TIFSs have been defined over one time-scale, or, whenever they have been defined over different time-scales the formulas of the operations over them have been described in the simplest form. In the present paper, essentially more detailed formulas for the operations over TIFSs with different time-scales are introduced. Moreover, ideas for some new operators that can be defined over TIFSs are introduced and their basic properties are established.