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    Wyświetlanie 1-8 z 8
    Tytuł:
    Using Inconsistency Reduction Algorithms in Comparison Matrices to Improve the Performance of Generating Random Comparison Matrices with a Given Inconsistency Coefficient Range
    Autorzy:
    Kuraś, Paweł
    Gerka, Alicja
    Powiązania:
    https://bibliotekanauki.pl/articles/2201885.pdf
    Data publikacji:
    2023
    Wydawca:
    Stowarzyszenie Inżynierów i Techników Mechaników Polskich
    Tematy:
    algorithm
    pairwise comparison
    inconsistency ratio
    online tools
    Opis:
    The aim of this paper is to present a new method for generating random pairwise comparison matrices with a given inconsistency ratio (CR) interval using inconsistency reduction algorithms. Pairwise comparison (PC) is a popular technique for multi-criteria decision-making, its purpose is to assign weights to the compared entities, thus ranking them from best to worst. The presented method combines the traditional random generation of comparison matrices supported by inconsistency reduction algorithms: the “Xu and Wei” algorithm and the “Szybowski” algorithm. This paper presents research that shows an increase in performance when generating such matrices relative to the standard random comparison matrix generation procedure using the “Szybowski” algorithm. The other algorithms also improve the process, but to a lesser extent, making the “Szybowski” supporting algorithm the preferred solution for the new process. As a result of the research, a free online tool “PC MATRICES GENERATOR” has also been made available to efficiently generate a large number of comparison matrices with a given CR factor range, any matrix size, and any number of matrices, enabling much more efficient and less time-consuming research in many fields that use comparison matrices, as the analytic hierarchy/network process (AHP/ANP), ELECTREE, PAPRIKA, PROMETHE, VIKOR or the Best-Worst method (BWM).
    Źródło:
    Advances in Science and Technology. Research Journal; 2023, 17, 1; 222-229
    2299-8624
    Pojawia się w:
    Advances in Science and Technology. Research Journal
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    How to support government procurement by a pairwise comparisons model
    Autorzy:
    Koczkodaj, W. W.
    Mackasey, W. O.
    Smolewski, I.
    Tadeusiewicz, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/93060.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Przyrodniczo-Humanistyczny w Siedlcach
    Tematy:
    government procurement
    project proposal assessment
    pairwise comparison
    distance-based inconsistency
    convergence
    knowledge management
    Opis:
    This study demonstrates how a government procurement process could be improved by the pairwise comparisons method. A case study, related to assessment of project proposals is used for demonstration purpose. The project proposals were requested by a Canadian government agency to assess the environmental and public safety hazards of abandoned mines. However, the presented model is applicable (with easy-to-implement modifications) to any other case of government procurement.
    Źródło:
    Studia Informatica : systems and information technology; 2013, 1-2(17); 19-28
    1731-2264
    Pojawia się w:
    Studia Informatica : systems and information technology
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Mapping of Soil Erosion Hotspot Areas Using GIS Based-MCDA Techniques in South Gondar Zone, Amhara Region, Ethiopia
    Autorzy:
    Teshome, Asirat
    Halefom, Afera
    Powiązania:
    https://bibliotekanauki.pl/articles/1076729.pdf
    Data publikacji:
    2019
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Amhara Region
    Causative factors
    GIS
    MCDA
    Pairwise comparison
    Raster calculator
    South Gondar zone
    Susceptibility mapping
    Opis:
    In the highlands of the country in which the study area found was affected by soil erosion and desertification. This problem on the environment includes loss of soil fertility, reduction of the depth of water body (lakes, ponds, reservoirs etc), high water turbidity, flood hazard problems etc. This study focus on mapping of soil erosion prone areas in South Gondar zone (area: 14604 sq km), which comprises of Blue Nile river basin and Tekeze river basins. This study leads where the most effective soil conservation strategies should focus in the area. Based on GIS with the integration of the Multi Criteria Decision Analysis (MCDA), an attempt was made to combine a set of factors (Land use, Soil, Slope, Topographic Wetness Index, Stream Power Index, Elevation, and Curvature) to have a fruitful decision to fulfil to the stated objective. Raster based pairwise comparison method considering seven soil erosion motivating parameters have been done in Arc GIS environments. MCDA is used to quantify the raster based qualitative spatial erosion hotspot area which produced through pairwise comparison. Raster based spatial model tells that out of total watershed area, 39.31 sq km (0.27%), 33.40 sq km (0.23%), 2358.12 sq km (16.15%), 11027.76 sq km (75.51%) and 1145.60 sq km (7.84%) areas are very high, High, Medium, Low and Very low prone to soil erosion respectively. This study will serve as insight to Basins/watershed decision maker and planners to alleviate soil erosion problems and its related hazards.
    Źródło:
    World News of Natural Sciences; 2019, 24; 218-238
    2543-5426
    Pojawia się w:
    World News of Natural Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The limit of inconsistency reduction in pairwise comparisons
    Autorzy:
    Koczkodaj, W. W.
    Szybowski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/330335.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    pairwise comparison
    inconsistency reduction
    convergence limit
    decision making
    porównanie parami
    redukcja niezgodności
    granica konwergencji
    podejmowanie decyzji
    Opis:
    This study provides a proof that the limit of a distance-based inconsistency reduction process is a matrix induced by the vector of geometric means of rows when a distance-based inconsistent pairwise comparisons matrix is transformed into a consistent PC matrix by stepwise inconsistency reduction in triads. The distance-based inconsistency indicator was defined by Koczkodaj (1993) for pairwise comparisons. Its convergence was analyzed in 1996 (regretfully, with an incomplete proof) and finally completed in 2010. However, there was no interpretation provided for the limit of convergence despite its considerable importance. This study also demonstrates that the vector of geometric means and the right principal eigenvector are linearly independent for the pairwise comparisons matrix size greater than three, although both vectors are identical (when normalized) for a consistent PC matrix of any size.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2016, 26, 3; 721-729
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Remarks on the impact of the adopted scale on the priority estimation quality
    Autorzy:
    Starczewski, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/122601.pdf
    Data publikacji:
    2017
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    Analytic Hierarchy Process
    AHP
    priority scale
    pairwise comparison
    Analityczny Proces Hierarchiczny (AHP)
    proces decyzyjny
    porównanie parami
    Opis:
    The Analytic Hierarchy Process (AHP) is the method that supports people’s decisions in the multi-criteria decision making problems. In this method the decision process is based on pairwise comparing of every two possible alternatives. The decision maker (DM) compares alternatives by choosing an appropriate “linguistic phrase” or a number from a proper set. This set of “linguistic phrases” and/or the numbers connected with them are referred to as the priority scale. There are several different scales that are described in literature and used in AHP practice. In dependence of the scale chosen by the DM, the final decisions might differ. In the AHP it is assumed that DMs make mistakes over comparing pairs of alternatives, but it was also observed that the assumed scale increases these errors as well. In our paper, we investigate the impact of the adopted scale to the number and magnitude of errors in the final decision. Our results show that the choice of the scale has a big impact on the final decision, so it is crucial part of AHP. It turns out that scales with bigger resource of options result in better evaluations of priority vectors.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 3; 105-116
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Remarks about geometric scale in the analytic hierarchy process
    Autorzy:
    Starczewski, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/123031.pdf
    Data publikacji:
    2018
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    analytic hierarchy process
    pairwise comparison
    scale
    inconsistency indices
    Analityczny Proces Hierarchiczny (AHP)
    AHP
    porównanie parami
    skala
    wskaźnik niespójności
    skala geometryczna
    priorytetyzacja
    Opis:
    The Analytic Hierarchy Process (AHP) is perhaps the most popular approach to decision-making problems of prioritization. The basis of the AHP is pairwise comparison, which is used to compare alternatives. This comparisons are provided by decision makers usually as linguistic expressions which are next converted to numbers from a fixed set called a scale. The influence of the scale on the quality of prioritization was investigated in a number of papers. One of the most important types of judgment scale is the Geometric Scale. Its elements depend on specific parameters. In this paper, the impact of the choice of this scale’s parameters on errors in priority vectors and on values of the inconsistency indices is studied via Monte Carlo simulations.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 3; 71-82
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Wielokryterialne wspomaganie decyzji. Przegląd metod i zastosowań
    Multicriteria decision support. Review of methods and applictions
    Autorzy:
    Trzaskalik, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/322004.pdf
    Data publikacji:
    2014
    Wydawca:
    Politechnika Śląska. Wydawnictwo Politechniki Śląskiej
    Tematy:
    multicriteria discrete method
    utility function
    pairwise comparison
    outranking relation
    reference points
    dyskretna metoda wielokryterialna
    funkcja użyteczności
    porównanie parami
    relacja przewyższania
    punkty referencyjne
    Opis:
    The universality of the decision situations and the importance of many of them contributed to the development of multicriteria decision support methods. These are mainly the two-stage methods – the analytical and synthesis stage are distinguished. Among the presented methods there are AHP, ANP, ELECTRE, PROMETHEE, verbal methods, TOPSIS, BIPOLAR, and interactive methods in terms of risk. The aim of the paper is to present the most frequently used multicriteria discrete methods and the examples of their applications.
    Powszechność sytuacji, w których podejmujemy decyzje, oraz wielka waga wielu z nich przyczyniły się do rozwoju wielokryterialnych metod wspomagania decyzji. Są to głównie metody dwuetapowe – wyróżniamy etap analityczny i etap syntezy. Wśród przedstawionych metod znajdują się m.in. metody AHP, ANP, ELECTRE, PROMETHEE, metody werbalne, TOPSIS, BIPOLAR oraz metody interaktywne w warunkach ryzyka. Celem artykułu jest prezentacja najczęściej wykorzystywanych wielokryterialnych metod dyskretnych oraz możliwości ich zastosowań.
    Źródło:
    Zeszyty Naukowe. Organizacja i Zarządzanie / Politechnika Śląska; 2014, 74; 239-263
    1641-3466
    Pojawia się w:
    Zeszyty Naukowe. Organizacja i Zarządzanie / Politechnika Śląska
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Relationship between priority ratios disturbances and priority estimation errors
    Autorzy:
    Starczewski, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/122827.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    incomplete pairwise comparison matrix
    priority vector
    inconsistency
    randomly generated matrix
    decision maker's judgments
    analytic hierarchy process (AHP)
    niespójność macierzy
    współczynnik spójności
    losowo generowana macierz
    proces hierarchii analitycznej
    Opis:
    This article is devoted to some problems connected with multicriteria decision analysis. We consider the relationship between the pairwise comparison matrix (PCM) and a priority vector (PV) obtained on the basis of this matrix. The PCM elements are the decision makers’ judgments about priority ratios i.e. the ratios of weights contained in the PV. It is known, that in the case of consistent matrix, we can obtain the exact value of related PV. However, the real-world practice shows that the decision maker does not create a perfectly consistent PCM, and thus usually in such a matrix the judgment’s errors occur. In our paper we use Monte Carlo simulation to study the relationship between various possible distributions of these errors and the distributions of the errors in estimates of the true PV. In these simulation we apply some initial families distribution and some different parameters. We obtain interesting results which show very slight influence families distribution on final PV errors. Our paper show that much bigger influence on simulation result have adopted parameters than selection distribution family.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 3; 143-154
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-8 z 8

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