DEVELOPMENT OF A NETWORK MODEL OF TARGET INSTALLATIONS OF COMPLEX ORGANIZATIONAL SYSTEMS FOR SPECIAL PURPOSES
Abstract and keywords
Abstract (English):
The author once again continues the cycle of publications in the direction of improving the accuracy of measurements in the method of Analytic Hierarchy Process of T. Saati (AHP) using various modifications. In the course of this action, various errors and limitations in the Analytic Hierarchy Pro-cess were found, and their solutions were proposed. Among such errors and limitations is the ambiguity of using differ-ent forms of convolution of local priority vectors. To obtain clarity in this direction, an extended study of additive, mul-tiplicative and nonlinear forms of convolution of local priori-ty vectors was carried out using a control experiment to find a solution to the problem of choosing from these forms the one that will guarantee high accuracy of measurements of the resulting vectors. The obtained research results, after critical analysis, confirmed the additive convolution form for the Analytic Hierarchy Process, which gives greater meas-urement accuracy. At the end of the article, the ways of in-creasing scientific knowledge for mathematical science through further modification are described

Keywords:
AHP, analytic hierarchy process, hierarchical synthesis, linear convolution, additive convolution, multiplicative convolution, nonlinear convolution
References

1. Kolesnikova S.I. Svoystva korrektnoy modifikacii metoda parnyh sravneniy // Intellektual'nye sistemy. 2010. - T. 14, № 1–4. - S. 183–202.

2. Nogin V.D. Uproschennyy variant metoda analiza ierarhiy na osnove nelineynoy svertki kriteriev // Zhurnal vychislitel'noy matematiki i matematicheskoy fiziki. 2004. - T. 44, № 7. - S. 1261–1270.

3. Pokrovskiy A.M. K voprosu o korrektnosti metoda analiza ierarhiy v sravnitel'noy ocenke innovacionnyh proektov // Ekonomika, statistika i informatika. Vestnik UMO. - 2012. - № 5. - S. 137–143.

4. Saati T. Prinyatie resheniy. Metod analiza ierarhiy; per. s angl. M.: Radio i svyaz', 1993. - 278 s.

5. Saati T.L. Prinyatie resheniy pri zavisimostyah i obratnyh svyazyah. Analiticheskie seti / T.L. Saati; per. s angl. O.N. Andreychikovoy; nauch. red.: A.V. Andreychikov, O.N. Andreychikova. – M., 2010. - 357 s.

6. Titov V.A., Hayrulin I.G. K voprosu o forme svertki lokal'nyh vektorov prioritetov al'ternativ po chastnym kriteriyam v obobschennyy vektor v metode analiza ierarhiy // Fundamental'nye issledovaniya. - 2013. - № 10-9. - S. 2020–2025.

7. Shageev D.A. Modifikaciya MAI dlya povysheniya tochnosti izmereniy v metodike vybora effektivnyh proektov i drugih oblastyah nauki // Vestnik Yuzhno-Ural'skogo gosudarstvennogo universiteta. Ser.: Ekonomika i menedzhment. - 2020. - T. 14, № 1. - S. 93–115. DOI:https://doi.org/10.14529/em200110.

8. Shageev D.A. Poisk etalona izmereniy v modifikaciyah MAI pervogo pokoleniya dlya metodiki vybora effektivnyh proektov i drugih oblastey nauki // Vestnik Voronezhskogo gosudarstvennogo universiteta inzhenernyh tehnologiy. - 2022. - T. 84, № 1(91). - S. 388–409. DOI:https://doi.org/10.20914/2310-1202-2022-1-388-409.

9. Mufazzal S., Muzakkir S.M. A new multi-criterion decision making (MCDM) method based on proximity indexed value for minimizing rank reversals // Computers & Industrial En-gineering. - 2018. - V. 119. - P. 427–438. DOI:https://doi.org/10.1016/j.cie.2018.03.045.

10. Salem A.A.A., Awasthi A. Investigating rank reversal in reciprocal fuzzy preference relation based on additive con-sistency: Causes and solutions // Computers & Industrial Engineering. - 2018. - V. 115. - P. 573–581. DOI:https://doi.org/10.1016/j.cie.2017.11.027

Login or Create
* Forgot password?