Hesitant Fuzzy Set Theory Applied to Hilbert Algebras


Aiyared Iampan, S. Yamunadevi, P. Maragatha Meenakshi, Neelamegarajan Rajesh




The concept of hesitant fuzzy sets (HFSs) was first introduced by Torra (V. Torra, extit{Hesitant fuzzy sets}, Int. J. Intell. Syst. {25} (2010), 529-539). In this paper, the concept of HFSs to subalgebra, ideals, and deductive systems of Hilbert algebras is introduced. The relationships between hesitant fuzzy subalgebras (HF subalgebras), hesitant fuzzy ideals (HF ideals), and hesitant fuzzy deductive systems (HF deductive systems) and their level subsets are provided.