How do you keep personal bias out of decisions when you feel really

How do you keep personal bias out of decisions when you feel really strongly about something? I think that sometimes the bias are there and the individuals don't even realize it. I think that it is very important for the teams that work on these types of decisions in an organization hold each other accountable for making a sound decision for the organization. If someone sees that one of their counterparts are making a decision fueled by personal bias that they should be able to say something in a professional manner to get them back on track. What does everyone else think?