A modified method of reducing equality based on genetic algorithm
One of the hot issues in analytic hierarchy process(AHP)research is the consistency correc-tion of judgment matrices.The constraint equation correction method can quickly revise the judg-ment matrix to a consistency matrix.However,this method often leads to significant numerical changes in the matrix,resulting in a very low retention of expert opinions and causing the matrix to lose its original meaning,thereby reducing the reliability of the AHP.This paper introduces the concept of genetic algorithms into the constraint equation correction method,and by constructing a reasonable fitness function,it can ensure that the matrix passes the consistency test while maximi-zing the retention of expert opinions.By adjusting the parameter values of the fitness function,one can freely adjust the weighting between expert opinions and matrix consistency indicators,thus solving the judgment matrix correction problems in various scenarios.This method has a wide ap-plicability and stable correction performance.It has played an important role in solving the prob-lem of predicting the lifespan of parts in a certain enterprise and has practical value.