Interval-Valued Intuitionistic L-Fuzzy Strong B -Filters On B -Algebras

In 2002, J. Neggers and H. S. Kim introduced the notion of β-algebra. The theory of fuzzy sets proposed by L. A. Zadeh in 1965 is generalized in 1986 by K. T. Atanassov an intuitionistic fuzzy sets. The notion of β -filters was introduced by Henri Cartan in 1937. In 1991, C.S. Hoo introduced the concept of the β -filters in BCI-algebras and Satyanarayana, et al. [2], introduced interval-valued intuitionistic fuzzy ideals in BF-algebras. In this paper, we define the notion of an Interval-valued intuitionistic L-fuzzy strong β –filters on β-algebra and investigate some of their properties.