Several generalizations and extensions of fuzzy sets have been introduced in the literature, for example, Atanassov’s intuitionistic fuzzy sets, type 2 fuzzy sets and fuzzy multisets, etc. Using the Torra’s hesitant fuzzy sets, the notions of Sup-hesitant fuzzy ideals in BCK/BCI-algebras are introduced, and its properties are investigated. Relations between Sup-hesitant fuzzy subalgebras and Sup-hesitant fuzzy ideals are displayed, and characterizations of Sup-hesitant fuzzy ideals are discussed.
Muhiuddin, G.; Harizavi, Habib; and Jun, Young Bae
Ideal Theory in BCK/BCI-algebras in the Frame Of Hesitant Fuzzy Set Theory,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 15,
1, Article 19.
Available at: https://digitalcommons.pvamu.edu/aam/vol15/iss1/19