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《Mathematics in Practice and Theory》 2018-18
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Decision-making Model and Application of the Relation Degree of Nearness Based on Lagrange Interpolation Polynomial

XI Sha-sha;WEI Yong;College of Mathematics and Information, China West Normal University;  
For the grey relational decision problems in the real number situation,tins paper proposes a new method to choose the optimum scheme: Firstly, to calculate the Lagrange interpolation polynomial of each scheme and ideal scheme, and calculate the area between the two curves of each scheme and the ideal scheme by using Riemann integral, construct relation degree of nearness, and through the comparison of relation degree of nearness to choose the optimum scheme. Secondly, for the case of the interval grey number, to calculate relation degree of nearness of the sequence of lower bounds of each scheme to the lower bound of the ideal scheme,and relation degree of nearness of the sequence of upper bounds of each scheme to the upper bound of the ideal scheme, then calculate the new synthesis degree of grey incident, and by comparing the synthesis degree of grey incident to choose the optimal scheme. Finally, through two different examples of real number and interval grey number to verify the feasibility, reasonable and effective of the method.
【Fund】: 四川省应用基础研究项目(2008JY0112)
【CateGory Index】: N941.5;O174.21
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