  In this paper, we introduce concept of bipolar neutrosophic set and its some
operations. Also, we propose score, certainty and accuracy functions to compare
the bipolar neutrosophic sets. Then, we develop the bipolar neutrosophic
weighted average operator and bipolar neutrosophic weighted geometric
operat\"or to aggregate the bipolar neutrosophic information. Furthermore,
based on the neutrosophic weighted geometric(aritmetic) operat\"or and the
score, certainty and accuracy functions, we develop a bipolar neutrosophic
multiple criteria decision-making approach, in which the evaluation values of
alternatives on the attributes take the form of bipolar neutrosophic numbers to
select the most desirable one(s). Finally, a numerical example of the method
was given to demonstrate the application and effectiveness of the developed
method.
