A Modified Combination Rule for D Numbers Theory

Abstract EN

D numbers theory is an appropriate method to deal with the information of uncertainty and incompleteness when making a reasonable decision.

Previous D numbers theory provides a rule to combine multiple D numbers.

However, the commutative law is not satisfied in the rule of combining multiple D numbers.

In this paper, a modified method for multiple D numbers combination is proposed.

The proposed method defines a new function for multiple D numbers combination which is mainly determined by the original value of D numbers.

Then the proposed combination rule is applied to environmental impact assessment (EIA); our results show that the proposed method is efficient for multiple D numbers combination and it is useful when dealing with uncertainty and incompleteness.