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master's thesis
Hijerarhijsko odlučivanje pomoću AHP metode
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. urn:nbn:hr:126:251029
Piljić, Želimir
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics and Computer Science
Applied Mathematics and Optimization Research Group

Institutional repository: Repository of School of Applied Mathematics and Computer Science

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Piljić, Ž. (2019). Hijerarhijsko odlučivanje pomoću AHP metode (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:251029

Piljić, Želimir. "Hijerarhijsko odlučivanje pomoću AHP metode." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:251029

Piljić, Želimir. "Hijerarhijsko odlučivanje pomoću AHP metode." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:251029

Piljić, Ž. (2019). 'Hijerarhijsko odlučivanje pomoću AHP metode', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 16 July 2024, https://urn.nsk.hr/urn:nbn:hr:126:251029

Piljić Ž. Hijerarhijsko odlučivanje pomoću AHP metode [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2019 [cited 2024 July 16] Available at: https://urn.nsk.hr/urn:nbn:hr:126:251029

Ž. Piljić, "Hijerarhijsko odlučivanje pomoću AHP metode", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:126:251029

Metadata
TitleHijerarhijsko odlučivanje pomoću AHP metode
Title (english)Hierarchycal Decision Making Using the AHP Method
AuthorŽelimir Piljić
MentorZoran Tomljanović (mentor)
Committee memberKristian Sabo (predsjednik povjerenstva)
Committee memberZoran Tomljanović (član povjerenstva)
Committee memberSlobodan Jelić (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Applied Mathematics and Computer Science)
(Applied Mathematics and Optimization Research Group)
Osijek
Defense date and country2019-02-01, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Applied Mathematics and Mathematical Modeling
Abstract
Rad se temelji na osnovnim rezultatima Thomasa L. Saatyja iz područja teorije odlučivanja. Predstavljena je potrebna teorijska podloga AHP metode kao i osnovni rezultati i njihovi dokazi koji su potrebni za njenu praktičnu upotrebu. U radu je obrađena, kao jedna od mogućih, metoda svojstvenog vektora. Za praktično rješavanje navedenom metodom uvedena je metoda potencija za numerički izračun svojstvenog vektora i svojstvene vrijednosti. Nakon što su ostvarene sve pretpostavke, u radu je predstavljeno programsko rješenje za rješavanje problema odlučivanja u obliku grafičkog sučelja koristeći AHP metodu za hijerarhiju s tri nivoa. Sinteza rada je primjer odabira kuće od nekoliko ponuđenih u odnosu na kriterije. Na samom kraju rada umetnut je programski kod praktičnog dijela rada.
Abstract (english)
This paper is based on Thomas L. Saaty’s contributions to the decision theory. A necessary theoretical basis for AHP method is introduced, including general results and proofs. This paper presents the principal eigenvalue method as one of the given possibilities. Power method has been introduced for numerical calculating eigenvector and eigenvalue of interest. After all conditions have been fulfilled, in this paper we show software solution using graphical interface for solving decision problems for three-level hierarchy. Paper synthesis is an example of choosing a house among several with respect to the criterions. At last, we included program code for the practical part of the paper in an appendix.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:251029
Study programmeTitle: Mathematics; specializations in: Financial and Statistical Mathematics, Mathematics and Computer Science, Industrial and Applied Mathematics
Course: Mathematics and Computer Science
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-02-11 11:40:13