Abstract
By considering credibility on every evaluation value of attributes in interval neutrosophic decision making, this paper proposes a credibility-induced interval neutrosophic weighted arithmetic averaging (CIINWAA) operator and a credibility-induced interval neutrosophic weighted geometric averaging (CIINWGA) operator, and investigates their properties. Then, we present a projection measure between interval neutrosophic numbers (INNs) and its ranking method for INNs. Furthermore, a decision-making method is established based on the CIINWAA and CIINWGA operators and the projection measure-based ranking method to handle multiple attribute decision-making problems with interval neutrosophic information and credibility information. Finally, an illustrative example and the comparative analysis are provided to demonstrate the application and effectiveness of the developed approach.
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