Abstract
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.
Some possible applications of the TIFSs are discussed.
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Acknowledgement
This research was funded by Bulgarian National Science Fund, grant number KP-06-N22/1/2018 “Theoretical research and applications of InterCriteria Analysis”.
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Atanassov, K.T. (2022). On the Temporal Intuitionistic Fuzzy Sets. In: Kahraman, C., Tolga, A.C., Cevik Onar, S., Cebi, S., Oztaysi, B., Sari, I.U. (eds) Intelligent and Fuzzy Systems. INFUS 2022. Lecture Notes in Networks and Systems, vol 504. Springer, Cham. https://doi.org/10.1007/978-3-031-09173-5_61
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DOI: https://doi.org/10.1007/978-3-031-09173-5_61
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