S. R. Barbhuiya, (∈, ∈ ∨q)-Interval-Valued Fuzzy Prime Ideals of BCK -Algebras, Volume 2017, Number 5, Pages 31-43, 2017.

# S. R. Barbhuiya, (∈, ∈ ∨q)-Interval-Valued Fuzzy Prime Ideals of BCK -Algebras, Volume 2017, Number 5, Pages 31-43, 2017.

Abstract: The notion of $(\in,\in \vee q)$-interval-valued fuzzy prime ideals in commutative BCK-algebras is introduced. Some characterization theorems in -interval-valued fuzzy prime ideals in commutative BCK-algebras are derived. Also we study relation between -interval-valued fuzzy prime ideal and -interval-valued fuzzy level prime ideals. Characterization of interval-valued fuzzy set to be an -interval-valued fuzzy prime ideals are provided.

Keywords: BCK-algebra, Prime ideal, Fuzzy prime ideal,-fuzzy prime ideal, -interval-valued fuzzy prime ideal.