(∈,∈∨q)-FuzzySubalgebras and(∈,∈∨q)-Fuzzy Ideals of Boolean Algebra

In this paper,the concept of(∈,∈∨q)-Fuzzysubalgebras and(∈,∈∨q)-Fuzzyideals of Boolean algebra and(∈,∈∨q)-Fuzzyquotient Boolean algebra are in-troduced.Anecessary and sufficient condition for a fuzzy set of Boolean algebra to be a(∈,∈∨q)-Fuzzysubalgebra(ideal)is stated,and i mages and inverse-i mages of(∈,∈∨q)-Fuzzysubalgebra(ideal)of Boolean algebra under Boolean algebra homomor-phismare studied,andR/Iis Boolean algebra whenIis(∈,∈∨q)-Fuzzyreal ideals ofBoolean algebraRare proved.