Badania nad właściwościami operacyjnymi metody AHP

• Autorzy: Anna Prusak , Piotr Stefanów
• Języki publikacji: PL

Abstrakty

EN

An ability to generate consistent results is the most critical operational feature of every method. The objective of the present paper was to demonstrate the results of the study conducted within the Ministry of Science and Higher Education Grant NN111345138 (Methodology of multicriteria comparative analysis of elements), regarding the relationship between the level of inconsistency of the AHP results, measured by Consistency Ratio (CR), and number of the compared criteria. Experiment involved analysis of 3-8 characteristics of selected objects (laptop, printer, public transport, mobile phone, flat and food store). The results showed that the analysis of as few as 3 characteristics resulted in a very high fraction of inconsistent opinions (more than 50%). In case of 6,7 and 8 characteristics this fraction exceeded 80%. (original abstract)

Słowa kluczowe

PL

Analityczny proces hierarchiczny; Teoria wspomagania decyzji; Optymalizacja decyzji

EN

Analytic Hierarchy Process (AHP); Theory of decision support; Decision optimization

• Czasopismo: Folia Oeconomica Cracoviensia
• Rocznik: 2011
• Tom: 52
• Strony: 87-104

Twórcy

autor

Anna Prusak

• Uniwersytet Ekonomiczny w Krakowie

autor

Piotr Stefanów

• Krakowska Akademia im. Andrzeja Frycza Modrzewskiego w Krakowie

Bibliografia

• Adamus W. 2006. Wejście Polski do strefy euro w ujęciu korzyści, kosztów, szans i ryzyka, [w:] Nowe wyzwania w zarządzaniu organizacjami (red. W. Adamus), Acta Academiae Modrewianae, Kraków 2006
• Adamus W., Łasak P. 2010. Zastosowanie metody AHP do wyboru umiejscowienia nadzoru nad rynkiem finansowym, Bank i Kredyt, 41(4): 73-100
• Akarte M.M. et al. 2001. Web based casting supplier evaluation using Analytic hierarchy process, Journal of the Operational Research Society, 52(5): 511-522
• Alonso J.A., Lamata M.T. 2005. A Statistical Criterion of Consistency in the Analytic Hierarchy Process, [w:] V. Torra et al. (Eds.), MDAI 2005, pp. 67-76, Springer-Verlag Berlin Heidelberg
• Alonso J.A., Lamata M.T. 2006. Consistency in the analytic hierarchy process: a new approach, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 14(4): 445-459
• Apostolou B., Hassel J.M. 1993. An empirical examination of the sensitivity of the analytic hierarchy process to departures from recommended consistency ratios, Mathematical and Computer Modeling, (4/5): 163-170
• Apostolou B., Hassel J.M. 2002. Note on Consistency Ratio: A Reply, Mathematical and Computer Modeling, (35): 1081-1083
• Arbel A., Orger Y.E. 1990. An application of AHP to bank strategic planning: The merger and acquisitions process, European Journal of Operational Research, 48(1): 27-37
• Badri M. 1999. Combining the AHP and GP for global facility location-allocation problem, International Journal of Production Economics, 62(3): 237-248
• Belton V., Gear T. 1983. On a shortcoming ofSaaty's method of analytic hierarchies, Omega, 11(3): 228-230
• Beynon M.J. 2005. A method of aggregation in DS/AHP for group decision-making with the non-equivalent importance of individuals in the group, Computers and Operations Research, 32: 1881-1896
• Costa J.F., Wanderley A.J.M., Cosenza C.A.N. 2006. A proposition to solve inconsistency problem in decision matrices using genetic algorithms, third International Conference on Production Research - Americas' Region 2006 (ICPR-AM06)
• Ergu D., Kou G., Peng Y., Shi Y. 2001. A Simple Method to Improve the Consistency Ratio of the Pair-wise Comparison Matrix in ANP, European Journal of Operational Research, In press
• Finan J.S., Hurley W.J. 1997. The Analytic Hierarchy Process: Does adjusting a pairwise comparison matrix to improve the consistency ratio help?, Computers and Operations Research, 24(8): 749-755
• Forman E., Peniwati K. 1998. Aggregating individual judgments and priorities with the Analytic Hierarchy Process, European Journal of Operational Research, 108: 165-169
• Holder R.D. 1990. Some Comments on the Analytic Hierarchy Process, The Journal of the Operational Research Society, 41(11): 1073-1076
• Chin K.S., Chiu S., Tummala V.M.R. 1999. An evaluation of success factors using AHP to implement ISO 14001 based EMS, International Journal of Quality & Reliability Management, 16(4): 341-361
• Chu P., Liu J.K.-H. 2002. P. Chu and Note on consistency ratio, Mathematical and Computer Modeling, 35: 1077-1080
• Lai V., Wong B.K., Cheung W. 2002. Group decision making in a multiple criteria environment: A case using the AHP in the software selection, European Journal of Operational Research, 137(1): 134-144
• Miller D. 1956. The Magical Number Seven, Plus or Minus Two: Some Limits on Our Capacity for Processing Information, The Psychological Review, 63: 81-97
• Perez J., Jimeno J.L., Mokotoff E. 2001. Another potential strong shortcoming of AHP (http://ideas. repec.org/p/alc/alcddt/8-02.html)
• Saaty T. 1994. Fundamentals of Decision Making and Priority Theory with the Analytic Hierarchy Process, Pitssburgh, PA: RWS Publications
• Saaty T.L. 1996. Decision Making for Leaders: The Analytical Hierarchy Process for Decisions in a Complex World, The Analytical Hierarchy Process Series, 2: 71-74
• Saaty T. 2001. The seven pillars of the analytic hierarchy process, (www.creativedecisions.net)
• Saaty T., Ozdemir M. 2003. Why the magic number seven plus or minus two, Mathematical and Computer Modeling, 38: 233-244
• Saaty T.L. 2008. Relative Measurement and Its Generalization in Decision Making Why Pairwise Comparisons are Central in Mathematics for the Measurement of Intangible Factors The Analytic Hierarchy/Network Process, RACSAM Rev. R. Acad. Cien. Serie A. Mat., 102(2): 251-318
• Saaty T.L., Vargas L.G. 1982. The Logic of Priorities, Kluwer Nijhoff Publishing, Massachusetts
• Singpurwalla N., Forman, E., Zalkind D. 1999. Promoting shared health care decision making using the analytic hierarchy process, Socio-Economic Planning Sciences, 33(4): 277-299
• Solms S. 2009. Homogeneity and choice aggregation in the analytic hierarchy process, ISAHP, Pittsburgh, Pennsylvania, USA, 29 July-1 August 2009
• Stefanow P., Prusak A. 2011. Badanie wiarygodności i skuteczności skali porównań Saaty'ego w metodzie AHP i ANP, Przedsiębiorcze aspekty organizacji i biznesu, pod red. A. Chodyńskiego
• Szczypińska A., Piotrowski E.W. 2009. Inconsistency of the judgment matrix in the AHP method and the decision maker's knowledge, Physica A, 388: 907-915
• Tung S.L., Tang S.L. 1998. A comparison of the Saaty's AHP and modified AHP for right and left eigenvector inconsistency, European Journal of Operational Research, 106: 123 128
• Vaidya O.S., Kumar S. 2006. Invited Review Analytic hierarchy process: An overview of applications, European Journal of Operational Research, 169: 1-29
• Watson S.R., Freeling A.N.S. 1982. Assessing Attribute Weights, Omega, 10: 582-583
• Weathers D., Sharmab S., Niedricha R.W. 2005. The impact of the number of scale points, dispositional factors, and the status quo decision heuristic on scale reliability and response accuracy, Journal of Business Research, 58: 1516-1524
• Webber S.A., Apostolou B., Hassel J.M. 1996. The sensitivity of the analytic hierarchy process to alternative scale and cue presentations, European Journal of Operational Research, 96: 351-362
• Weber M. 1997. Remarks on the paper "On the Measurement of Preferences in the Analytic Hierarchy Process", Journal of Multicriteria Decision Analysis, 6: 320-321