A Modified Combination Rule for D Numbers Theory

numbers theory is an appropriate method to deal with the information of uncertainty and incompleteness when making a reasonable decision. Previous numbers theory provides a rule to combine multiple numbers. However, the commutative law is not satisfied in the rule of combining multiple numbers. In this paper, a modified method for multiple numbers combination is proposed. The proposed method defines a new function for multiple numbers combination which is mainly determined by the original value of numbers. Then the proposed combination rule is applied to environmental impact assessment (EIA); our results show that the proposed method is efficient for multiple numbers combination and it is useful when dealing with uncertainty and incompleteness.

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