An Uncertain Decision Making Model: An Application to AHP
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Abstract
This paper introduces uncertainty theory to deal with uncertain factors in decision making problems. The uncertain variable method (UVM) for generation weight vector, the definition of uncertain consistency and consistency theorem are proposed. An algorithm for checking whether or not an uncertainty comparison matrix is consistent is put forward. The final raking is indicated by uncertainty weight vector if it is acceptable; otherwise we rely on the ranks of expected weight vector instead. Three numerical examples are examined to illustrate the validity and practicality of the proposed method.
Keywords: uncertainty theory; uncertain variable; uncertain measure; uncertainty distribution; uncertain variable method; AHP
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