Multiple-Criteria Decision Analysis Using Topsis Method For Interval Data In Research Into The Level Of Information Society Development

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When making choices and decisions, very seldom does the situation arise that a decision-maker very seldom bases their assessment of the options available on only one criterion. Frequently, many aspects of the available solutions are considered – both in terms of potential benefits and costs. In order to support decision makers, the Multiple-Criteria Decision Analysis (MCDA) is used for selecting the solution which is the best in several respects.

There are many methods of multi-criteria decision-analysis such as AHP, ELECTRE, PROMETHEE, VIKOR or TOPSIS. In the article a modification of the last of these methods is used. With the use of TOPSIS method with interval arithmetic the analysis of the level of information society (IS) development in the European Union countries between 2005 to 2010 is performed and its results are presented.

Aczel, A.D. (2000). Statystyka w zarządzaniu. Warszawa: Wydawnictwo Naukowe PWN.

Brans, J.P. (1982). L’ingénierie de la décision: élaboration d’instruments d’aide à la décision. La méthode PROMETHEE. Laval: Presses de l’Université Laval.

Chen, M.F. & Tzeng, G.H. (2004). Combining gray relation and TOPSIS concepts for selecting an expatriate host country. Mathematical and Computer Modelling, 40, 1473–1490. DOI: 10.1016/j.mcm.2005.01.006.

Chen, S.J. & Hwang, C.L. (1992). Fuzzy Multiple Attribute Decision Making: Methods and Applications. Berlin: Springer-Verlag.

Griffiths, D. (2012). Head First. Statystyka. Gliwice: Helion.

Hwang, C.L. & Yoon, K. (1981). Multiple Attribute Decision Making: Methods and Applications. New York: Springer-Verlag.

Jahanshahloo, G.R., Hosseinzadeh, L.F. & Izadikhah, M. (2006). An algorithmic method to extend TOPSIS for decision-making problems with interval data. Applied Mathematics and Computation, 175, 1375–1384. DOI: 10.1016/j.amc.2005.08.048.

Jahanshahloo, G.R., Hosseinzadeh, L.F. & Izadikhah, M. (2006). Extension of the TOPSIS method for decision-making problems with fuzzy data. Applied Mathematics and Computation, 181, 1544–1551. DOI: 10.1016/j.amc.2006.02.057.

Janic, M. (2003). Multicriteria evaluation of high-speed rail, transrapid maglev, and air passenger transport in Europe. Transportation Planning and Technology, 26 (6), 491–512. DOI: 10.1080/0308106032000167373.

Kukuła, K. (2000). Metoda unitaryzacji zerowanej. Warszawa: Wydawnictwo Naukowe PWN.

Kwong, C.K. & Tam, S.M. (2002). Case-based reasoning approach to concurrent design of low power transformers. Journal of Materials Processing Technology, 128, 136–141. DOI:10.1016/S0924-0136(02)00440-5.

Lai, Y.J., Liu, T.Y. & Hwang C.L. (1994). TOPSIS for MODM. European Journal of Operational Research, 76, 486–500. DOI: 10.1016/0377-2217(94)90282-8.

Łatuszyńska, A. (2012). Key Indicators in Evaluation of the Level of Information Society Development. Studies & Proceedings of Polish Association for Knowledge Management, 60, 108–121.

Milani, A.S., Shanian, A. & Madoliat, R. (2005). The effect of normalization norms in multiple attribute decision making models: A case study in gear material selection. Structural Multidisciplinary Optimization, 29, 312–318. DOI: 10.1007/s00158-004-0473-1.

Nowak, E. (1990). Metody taksonomiczne w klasyfikacji obiektów społeczno-gospodarczych. Warszawa: Państwowe Wydawnictwo Ekonomiczne.

Olson, D. L. (2004). Comparison of weights in TOPSIS models. Mathematical and Computer Modelling, 40 (7–8), 721–727. DOI: 10.1016/j.mcm.2004.10.003.

Opricovic, S. (1998). Multicriteria Optimization of Civil Engineering Systems. Belgrade: Faculty of Civil Engineering.

Opricovic, S. & Tzeng, G. (2004). Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS. European Journal of Operational Research, 156, 445–455. DOI: 10.1016/S0377-2217(03)00020-1.

Roy, B. (1968). Classement et choix en présence de points de vue multiples (la méthode ELECTRE). La Revue d’Informatique et de Recherche Opérationelle (RIRO), 8, 57–75.

Saaty, T.L. (1980). The Analytic Hierarchy Process. New York: McGraw Hill.

Shih, H.S., Shyur, H.J. & Lee E.S. (2007). An extension of TOPSIS for group decision making. Mathematical and Computer Modelling, 45 (7–8), 801–813. DOI: 10.1016/j.mcm. 2006.03.023.

Srdjevic, B., Medeiros, Y.D.P. & Faria, A.S. (2004). An objective multi-criteria evaluation of water management scenarios. Water Resources Management, 18, 35–54. DOI: 10.1023/B: WARM.0000015348.88832.52.

Tikhonenko, A. (2011). Przedziałowe rozszerzenie metody TOPSIS, XII Studencka Konferencja Informatyczna, 15 June 2011. Częstochowa: Politechnika Częstochowska.

Tsaur, S.H., Chang, T.Y. & Yen C.H. (2002). The evaluation of airline service quality by fuzzy MCDM. Tourism Management, 23, 107–115. DOI: 10.1016/S0261-5177(01)00050-4.

Yang, T. & Chou, P. (2005). Solving a multiresponse simulation–optimization problem with discrete variables using a multi-attribute decision-making method. Mathematics and Computers in Simulation, 68, 9–21. DOI: 10.1016/j.matcom.2004.09.004.

Yoon, K. & Hwang C.L. (1985). Manufacturing plant location analysis by multiple attribute decision making: Part I—single-plant strategy. International Journal of Production Research, 23, 345–359. DOI: 10.1080/00207548508904712.

Zeliaś, A. (2000). Metody statystyczne. Warszawa: Polskie Wydawnictwo Ekonomiczne.

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