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Temporal-Level Operators Over Intuitionistic Fuzzy Sets

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Intelligent and Fuzzy Techniques for Emerging Conditions and Digital Transformation (INFUS 2021)

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Abstract

The Intuitionistic Fuzzy Set (IFS) was introduced in 1983 as one of the first extensions of Zadeh’s fuzzy set. In the following years, on the one hand, it was extended to intuitionistic L-fuzzy set (1984), interval valued IFS (1989), IFS of second type (1989) (although some authors have incorrectly called it Pythagorean fuzzy set) and more generally of n-th type, Temporal IFS (TIFS) and others. On the other hand, different relations, operations and operators have been introduced over IFSs. The operators over IFS are of modal, topological, level and other types.

In the present paper, as a continuation and fusion of the ideas of TIFS and of level operations over IFSs, temporal-level operators are introduced and some of their basic properties are studied.

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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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Correspondence to Krassimir T. Atanassov .

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Atanassov, K.T. (2022). Temporal-Level Operators Over Intuitionistic Fuzzy Sets. In: Kahraman, C., Cebi, S., Cevik Onar, S., Oztaysi, B., Tolga, A.C., Sari, I.U. (eds) Intelligent and Fuzzy Techniques for Emerging Conditions and Digital Transformation. INFUS 2021. Lecture Notes in Networks and Systems, vol 308. Springer, Cham. https://doi.org/10.1007/978-3-030-85577-2_1

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