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A fuzzy TOPSIS framework for selecting fragile states for support facility

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An Erratum to this article was published on 16 October 2014

Abstract

Aid recipient-countries especially those classified as ‘fragile states’ look to donor agencies and other financial organizations for various forms of support facilities to rebuild institutions and repair infrastructure. As countries within the fragile states bracket increase around the world, competition for such assistances has also become keen. To select countries for the fragile states support facility run by the African and Asian development banks, expert ratings over sets of unquantifiable performance based criteria are used to determine the ultimate deserving countries. In order to ensure transparency and fairness in the face of competition, such multi-criteria ratings demand techniques that do not only model human judgements but take into account the effect of variations in expert ratings as a result of possible influences. This paper proposes a fuzzy TOPSIS framework for selecting fragile states for support facility based on the African Development Bank selection criteria. Using pre-defined linguistic terms parameterized by triangular fuzzy numbers, a numerical example is provided on how the framework can be used by decision makers towards final selection of competing countries for the fragile states support facility. The paper anticipating possible influences of lobbyists, further performs a sensitivity analysis to examine the effect that bias in expert ratings could have on the final selection. The result shows a framework that can be applied in instances of selecting countries and organizations for aid purposes.

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References

  • Abo-Sinna, M.A., Amer, A.H., Ibrahim, A.S.: Extensions of TOPSIS for large scale multi-objective non-linear programming problems with block angular structure. Appl. Math. Model. 32, 292–302 (2008)

    Article  Google Scholar 

  • AfDB Bank Group: Evaluation of the assistance of the african development bank to fragile states. Operations Evaluation Department (2012)

  • AfDB Bank Group: Fragile states facility. http://www.afdb.org/en/topics-and-sectors/initiatives-partnerships/fragile-states-facility/fragile-states-facility-digest/ (2013a). Accessed 03 March 2014

  • AfDB Bank Group: High-Level Panel on Fragile States. http://www.afdb.org/en/topics-and-sectors/initiatives-partnerships/fragile-states-facility/fragile-states-facility-digest (2013b). Accessed 03 March 2014

  • Alexander, N.: The country policy and institutional assessment (CPIA) and allocation of IDA resources: suggestions for improvements to benefit African countries. Washington: The Heinrich Böll Foundation (2010)

  • Amiri, M.K.: Project selection for oil-fields development by using the AHP and fuzzy TOPSIS methods. Expert Syst. Appl. 37, 6218–6224 (2010)

    Article  Google Scholar 

  • Awasthi, A., Chauhan, S.S., Omrani, H.: Application of fuzzy TOPSIS in evaluating sustainable transportation systems. Expert Syst. Appl. 38, 12270–12280 (2011)

    Article  Google Scholar 

  • Cammack, D., McLeod, D., Menocal, A. R., & Christiansen, K.: Donors and the ‘fragile states’ agenda: a survey of current thinking and practice. ODI Report submitted to the Japan International Cooperation Agency (2006)

  • Chamodrakas, I., Martakos, D.: A utility-based fuzzy TOPSIS method for energy efficient network selection in heterogeneous wireless networks. Appl. Soft Comput. 12, 1929–1938 (2012)

    Article  Google Scholar 

  • Chen, T.C., Tsao, C.Y.: The interval-valued fuzzy TOPSIS method and experimental analysis. Fuzzy Sets Syst. 159, 1410–1428 (2008)

    Article  Google Scholar 

  • Chou, C.: The canonical representation of multiplication operation on triangular fuzzy numbers. Comput. Math. Appl. 45(10), 1601–1610 (2003)

    Article  Google Scholar 

  • Chu, T.C., Lin, Y.C.: An interval arithmetic based fuzzy TOPSIS model. Expert Syst. Appl. 36, 10870–10876 (2009)

    Article  Google Scholar 

  • Corpin, E., Manuel, M., McKechnie, A.: Measuring good pooled funds in fragile states. Overseas Development Institute (2009)

  • Deng, H., Yeh, C.H., Willis, R.J.: Inter-company comparison using modified TOPSIS with objective weights. Comput. Oper. Res. 27, 963–973 (2000)

    Article  Google Scholar 

  • Foster, M.: Aid instruments in fragile and post conflict states. Desk review for DFID Nepal, Kathmandu, DFID (2007)

    Google Scholar 

  • George, J. K., Bo, Y.: Fuzzy sets and fuzzy logic. Prentice Hall, New Jersey, 4 (1995)

  • Hwang, C., Yoon, K.: Multiple attribute decision making methods and application. Springer, New York (1981)

    Book  Google Scholar 

  • IDA: ABCs of IDA - Fragile and Conflict-Affected States (FCS). http://www.worldbank.org/ida/ida_abcs_fragile_conflict_affected_states.html (2014). Accessed 03 March 2014

  • Kanaan, S.: Fragile and conflict-affected situations. http://wbi.worldbank.org/wbi/Data/wbi/wbicms/files/drupal-acquia/wbi/fragile_situations_insert_fy12.pdf (2012). Accessed 03 March 2014

  • Kannan, D., Jabbour, A.B., Jabbour, C.J.C.: Selecting Green suppliers based on GSCM practices: using fuzzy TOPSIS applied to a Brazilian Electronics Company. Eur J Oper Res 233, 432–447 (2014)

  • Kararach, G., Kedir, A., Léautier, F., Murinde, V. : Is there a case for reforming the Country Policy and Institutional Assessment (CPIA) as an Aid Allocation Tool?. AfDB African Capacity Development 3(4) (2012)

  • Li, D.F.: Compromise ratio method for fuzzy multi-attribute group decision making. Appl. Soft Comput. 7, 807–817 (2007)

    Article  Google Scholar 

  • Lima Junior, F.R., Osiro, L., Carpinetti, L.C.R.: A comparison between Fuzzy AHP and Fuzzy TOPSIS methods to supplier selection. Appl. Soft Comput. 21, 194–209 (2014)

    Article  Google Scholar 

  • Lo, C., Chen, D., Tsai, C., Chao, K.: Service selection based on Fuzzy TOPSIS method. In: Proceedings of 24th International Conference on Advanced Information Networking and Applications Workshops, Perth, WA, IEEE, pp. 367–372 (2010)

  • Marbini, A., Tavana, M., Hajipour, V., Kangi, F., Kazemi, A.: An extended compromise ratio method for fuzzy group multi-attribute decision making with SWOT analysis. Appl. Soft Comput. 13, 3459–3472 (2013)

    Article  Google Scholar 

  • Moore, M.: How well does the World Bank serve Fragile and Conflict-Affected States. http://www.fragilestates.org/2014/02/05/well-world-bank-serve-fragile-conflict-affected-states/ (2014). Accessed 03 March 2014

  • OECD: Fragile states. Resource flows and trends in a shifting world. http://www.oecd.org/dac/incaf/FragileStates2013.pdf (2013). Accessed 03 March 2014

  • Rodrik, D.: Industrial Policy for the 21st century. CEPR Discussion Paper 4767, London (2004)

  • Shih, H.S., Shyur, H.J., Lee, E.S.: An extension of TOPSIS for group decision making. Math. Comput. Model. 45, 801–813 (2007)

    Article  Google Scholar 

  • Sivanandam, S. N., Sumathi, S., Deepa, S. N.: Introduction to Fuzzy Logic Using MATLAB. Springer, Berlin 1 (2007)

  • Stewart, F., Brown, G.: Fragile States. University of Oxford. Centre for research on inequality, human security and ethnicity (CRISE) (2009)

  • Sun, C.C., Lin, G.T.R.: Using fuzzy TOPSIS method for evaluating the competitive advantages of shopping websites. Expert Syst. Appl. 36, 11764–11771 (2009)

    Article  Google Scholar 

  • The World Bank: Fragile and conflict-affected countries. http://wbi.worldbank.org/wbi/about/topics/fragile-states (2012). Accessed 03 March 2014

  • Tian, J., Yu, D., Yu, B., Ma, S.: A fuzzy TOPSIS model via chi-square test for information source selection. Knowl. Based Syst. 37, 515–527 (2013)

    Article  Google Scholar 

  • Torres, M.M., Anderson, M.: Fragile states: defining difficult environments for poverty reduction. Poverty Reduction in Difficult Environments Team Policy Division, UK Department for International Development (2004)

  • Wang, T., Chang, T.: Application of TOPSIS in evaluating initial training aircraft under a fuzzy environment. Expert Syst. Appl. 33, 870–880 (2007)

    Article  Google Scholar 

  • Yu, X., Guo, S., Guo, J., Huang, X.: Rank B2C e-commerce websites in e-alliance based on AHP and fuzzy TOPSIS. Expert Syst. Appl. 38, 3550–3557 (2011)

    Article  Google Scholar 

  • Zadeh, L.A.: Fuzzy sets. Inf. Control 8(3), 338–353 (1965)

    Article  Google Scholar 

  • Zanakis, S.H., Solomon, A., Wishart, N., Dublish, S.: Multi-attribute decision making: a simulation comparison of select methods. Eur. J. Oper. Res. 107, 507–529 (1998)

    Article  Google Scholar 

  • Kaufmann, A., Gupta, M.M.: Introduction to fuzzy arithmetic: theory and applications. Van Nostrand Reinhold Company, New York (1991)

    Google Scholar 

Download references

Acknowledgments

This work was supported by Internal Grant Agency of Tomas Bata University IGA/FAI/2014/037 and IGA/FaME/2014/007.

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Correspondence to Eric Afful-Dadzie.

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Afful-Dadzie, E., Nabareseh, S., Afful-Dadzie, A. et al. A fuzzy TOPSIS framework for selecting fragile states for support facility. Qual Quant 49, 1835–1855 (2015). https://doi.org/10.1007/s11135-014-0062-3

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