MAKING DESITIONS ON THE BASE OF ANALYSIS HIERARHY METHOD
Journal: Bulletin of Prydniprovs'ka State Academy of Civil Engineering and Architecture (Vol.2015, No. 9)Publication Date: 2015-19-11
Authors : ERSHOVA N. M.; Sc. Tech.; Prof.;
Page : 39-46
Keywords : analytic hierarchy method; multi-criteria problems; unstructured problems; back symmetric matrix; the eigenvalues; the normalized eigenvector; matrix functions;
Abstract
The method of analysisof hierarchy process (AHP) provides solution of multi- criteria problems with simple and reasonable, including quantitative and qualitative factors of different dimensions. AHP is used to solve semistructured and unstructured problems. Only now it begins to be applied in Ukraine. The first works [2, 10, 14] were appered, where the essence of the method is revealed and technology of implementation of it on the computer are shown. [14] An attempt to determine theoretically the eigenvalues to the back of a symmetric matrix, but as a result of wrongly an accepted fact, the sum of the eigenvalues of matrix is equal to its order n, the authors conclude that for perfectly coherented matrix "all of eigenvalues - zeros, except for one, equaled n " In fact, the amount of the eigenvalues numerals of matrix A equals to the sum of the diagonal elements of the matrix, i.e.to its trace Sp A [5]. The shown [10] technology of implementation of method in this wark in the Excel indicates that the authors do not own of matrix functions of master of functions. There is no clear method of calculation using the AHP in the literature. Purpose. To develop a methodology for the application of the AHP to solve unstructured problems and technology of implementation method of Excel. Conclusion The proposed method opens the possibility of AHP and quite simply realized in Excel using of the matrix functions of master of functions.
Other Latest Articles
- UNIFICATION OF PROCESSES OF SORTING OUT OF DESTROYED CONSTRUCTION OBJECTS
- THE APPLICATION OF WAVELET-MULTIFRACTAL ANALYSIS IN PROBLEMS OF METAL STRUCTURE
- REGULATORY METHODS OF EFFECTIVE CONSTRUCTION MANAGEMENT BASED ON PLANNING OF TERRITORIES
- ACICULAR FERRITE
- INJECTIONS VS ORAL ANABOLIC STEROID WHICH CORRELATIONSHIP EXPLAIN THE DOPING RISKS HEALTH IN THE LEISURE ALGERIAN SPORT BODYBUILDING
Last modified: 2015-11-19 17:27:21