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Based On The Weighted Average Amount Of Convergence Of The Right To Determine The Theoretical

Posted on:2007-05-20Degree:MasterType:Thesis
Country:ChinaCandidate:D S XuFull Text:PDF
GTID:2190360185972986Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
The theory and approach of the comprehensive evaluation theory has taken an important place in management science and project. It also has become an indispensable part in the fields such as economic management, industrial project and decision, and has crucial practical value and good prospect to apply. To the decision with finite programs, comprehensive evaluation is the premise of decision. There is no right decision without scientific comprehensive evaluation. However the decision to Weight is the core of comprehensive evaluation.But how to decide weight? Currently, in terms of its applied principle, three categories have been made at home or overseas: the first category is based on Weight decision of the principle of function drive; the second category is based on Weight decision of the principle of difference drive; the third category is synthetic Weight. Generally speaking, the three categories are equal to Subjective Weight, Objective Weight, Subjective and Objective Weight. But subjective evaluation has poor transparency and reappearance, objective method lacks of theoretical foundation, subjective and objective Weight tends to pay no attention to theory. To deal with the situation talked above, we put forth the new concept of "the auto-convergence of weighed average". Beginning with the basic conceptualism, by the law of Lagrange probability, we have had an optimizing mode to decide Weight in general condition an, a series of Weight theory of covariance matrix being positive matrix, and Factors affecting mutual independence weight factor determining, had set up a suit of full method and theory to decide Weight, putting a further step to mature.At last, to the teaching problems made by teachers in classroom in everyday life, we apply the theory put forward by us to solve it and give the applied result. We also compare the analytic hierarchy process, which are popular currently. With the 'unique weapons '—covariance matrix different size, we may get a solution to contain subjective color, transparency in the evaluation process, to the reappearance of poor weaknesses.
Keywords/Search Tags:the comprehensive evaluation theory, weight, the auto-convergence of weighed average, the analytic hierarchy process, covariance matrix, positive matrix
PDF Full Text Request
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