Considering corresponding credibility on every evaluation value of interval neutrosophic numbers (INNs) in interval neutrosophic decision making, we put forward two interval neutrosophic weighted aggregation operators considering credibility, including a credibility-induced interval neutrosophic weighted arithmetic averaging (CIINWAA) operator and a credibility-induced interval neutrosophic weighted geometric averaging (CIINWGA) operator, and investigate their properties. Based on the Dice similarity measure, we introduce a ranking method for INNs, and then establish a decision-making method based on the CIINWAA and CIINWGA operators and the ranking method to handle multiple attribute decision-making problems with interval neutrosophic information and credibility information. Finally, an illustrative example of investment alternatives and the comparative analysis are provided to demonstrate the application and effectiveness of the developed approach.