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Application of the SAW Method in Credit Risk Assessment

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Contemporary Trends and Challenges in Finance

Abstract

Credit risk assessment usually is a complex process, which consists of many successive steps and numerous criteria. Selection of good customers and rejection of potentially bad ones is vital as it directly and significantly affects the quality of bank’s credit portfolio. Also, ordering the decision alternatives is an important part of the whole decision-making analysis which takes place before making a final decision. The importance and complexity of the problem on one hand call for strictly analytical methods, however, on the other, also for a method which enables intuitive decision-making, imprecision and inaccurate linguistic ranks based on experts’ personal experience. The paper presents the utility of Simple Additive Weighting method in case of a credit risk assessment. The presented illustrative example bases on experts’ knowledge and their perception and evaluation of various linguistic, frequently imprecise criteria. Therefore, the order scale is described by trapezoidal oriented fuzzy numbers.

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Notes

  1. 1.

    A review on financial risk assessment (including credit and bankruptcy risks) can be found in Chen et al. (2016).

  2. 2.

    The personal data of experts and any data concerning the Bank as well as any business and decision-making actions involved in the process, are subject to confidentiality.

References

  • Altman E (1968) Financial ratios, discriminant analysis and the prediction of corporate bankruptcy. J Financ 23:589–609

    Article  Google Scholar 

  • Anderson R (2007) The credit scoring toolkit. Oxford Press, Oxford

    Google Scholar 

  • Black F, Cox JC (1976) Valuing corporate securities: some effect of bond indenture provisions. J Financ 31(2):351–367 (Papers and proceedings of the thirty-fourth annual meeting of the American Finance Association Dallas, texas december 28–30, 1975 (May 1976))

    Google Scholar 

  • Bonilla M, Olmeda I, Puertas-An R (2000) Application of genetic algorithms in credit scoring. WASL J

    Google Scholar 

  • Chen SJ, Hwang CL (1992) Fuzzy multiple attribute decision making: methods and applications. Springer Verlag, Berlin. https://doi.org/10.1007/978-3-642-46768-4

  • Chen RR, Hu SY, Pan GG (2006) Default prediction of various structural models. www.defaultrisk.com/pp_score_63.htm

  • Chen N, Ribeiro B, Chen A (2016) Financial credit risk assessment: a recent review. Artif Intell Rev 45(1). https://doi.org/10.1007/s10462-015-9434-x

  • Chou S, Chang Y (2008) A decision support system for supplier selection based on a strategy-aligned fuzzy SMART approach. Expert Syst Appl 34(4):2241–2253

    Article  Google Scholar 

  • Churchman CW, Ackoff RL (1954) An approximate measure of value. J Oper Res Soc Am 2(1)

    Google Scholar 

  • Dadios EP, Solis J (2012) Fuzzy-neuro model for intelligent credit risk management. Intell Inf Manag 4:251–260. https://doi.org/10.4236/iim.2012.425036

    Article  Google Scholar 

  • Davis RH, Edelman DB, Gammerman AJ (1992) Machine learning algorithms for credit-card applications. IMA J Math Appl Bus Ind 4:43–51

    Google Scholar 

  • Dubois D, Prade H (1979) Fuzzy real algebra: some results. Fuzzy Sets Syst 2:327–348. https://doi.org/10.1016/0165-0114(79)90005-8

    Article  Google Scholar 

  • Duffie D, Singleton KJ (1999) Modeling term structures of defaultable bonds. Rev. Financ. Stud. 12(4):687–720

    Google Scholar 

  • Edwards W (1977) How to use multi-attribute utility measurement for social decision making. IEEE Trans Syst Man Cybern 7(5):326–340. https://doi.org/10.1109/TSMC.1977.4309720

    Article  Google Scholar 

  • Geske R (1979) The valuation of compound options. J. Financ. Econ. 7:63–81

    Google Scholar 

  • Gordy MB (2000) A comparative anatomy of credit risk models. J Bank Finance 24:119–149

    Article  Google Scholar 

  • Haykin S (2011) Neural networks and learning machines, 3rd edn. PHI Learning Private Limited, New Dehli-110001

    Google Scholar 

  • Herrera F, Herrera-Viedma E (2000) Linguistic decision analysis: steps for solving decision problems under linguistic information. Fuzzy Sets Syst 115:67–82. https://doi.org/10.1016/S0165-0114(99)00024-X

    Article  Google Scholar 

  • Herrera F, Alonso S, Chiclana F, Herrera-Viedma E (2009) Computing with words in decision making: foundations, trends and prospects. Fuzzy Optim Decis Mak 8:337–364. https://doi.org/10.1007/s10700-009-9065

    Article  Google Scholar 

  • Hull JC, Nelken I, White A (2004) Merton’s model, credit risk, and volatility skews. J Credit Risk 1(1):3–28

    Article  Google Scholar 

  • Hwang CL, Yoon K (1981) Multiple attribute decision making: methods and applications. Springer-Verlag, Berlin. https://doi.org/10.1007/978-3-642-48318-9

    Article  Google Scholar 

  • Jarrow RA, Turnbull SM (1995) Pricing derivatives on financial securities subject to credit risk. J. Financ. 50(1):53–85

    Google Scholar 

  • Kabari LG, Nwachukwu EO (2013) Credit risk evaluating system using decision tree—neuro based model. Int J Eng Res & Technol (IJERT) 2(6)

    Google Scholar 

  • Kanapickiene R, Spicas R (2019) Credit risk assessment model for small and micro-enterprises: the case of Lithuania. Risks 7(2):67

    Article  Google Scholar 

  • Karels G, Prakash A (1987) Multivariate normality and forecasting of business bankruptcy. J Bus Financ Account 14(4):573–593

    Article  Google Scholar 

  • Kosiński W (2006) On fuzzy number calculus. Int J Appl Math Comput Sci 16(1):51–57

    Google Scholar 

  • Kosiński W, Prokopowicz P, Ślęzak D (2002) Drawback of fuzzy arithmetics—new intuitions and propositions. In: Cholewa T, Moczulski W (eds) Methods of artificial intelligence Burczyński. Gliwice, Poland, pp 231–237

    Google Scholar 

  • Lando D (1998) On Cox processes and credit risky securities. Rev. Deriv. Res. 2(2–3):99–120

    Google Scholar 

  • Lopez JA, Saidenberg MR (2000) Evaluating credit risk models. J Bank Finance 24:151–165

    Article  Google Scholar 

  • Łukasiewicz J (1922/23) Interpretacja liczbowa teorii zdań, Ruch Filozoficzny (trans: ‘A numerical interpretation of the theory of propositions’). In: Borkowski L (eds) Jan Łukasiewicz—selected works. North-Holland, Amsterdam, Polish Scientific Publishers, Warszawa, Poland, vol 7, pp 92–93 (1970)

    Google Scholar 

  • Madan DB, Unal H (1998) Pricing the risk of default. Rev. Deriv. Res. 2(2):121–160

    Google Scholar 

  • Mardani A, Jusoh A, Zavadskas EK (2015) Fuzzy multiple criteria decision-making techniques and applications—two decades review from 1994 to 2014. Expert Syst Appl 42:4126–4148. https://doi.org/10.1016/j.eswa.2015.01.003

    Article  Google Scholar 

  • Martınez L, Ruan D, Herrera F (2010) Computing with words in decision support systems: an overview on models and applications. Int J Comput Intell Syst 3(4):382–395. https://doi.org/10.1080/18756891.2010.9727709https://doi.org/10.2991/ijcis.2010.3.4.1

  • Mays E (ed) (2001) Handbook of credit scoring. Glenlake Publishing, Chicago

    Google Scholar 

  • Merton R (1974) On the pricing of corporate debt: the risk structure of interest rates. J Financ 29:449–470

    Google Scholar 

  • Pacelli V, Azzollini M (2011) An artificial neural network approach for credit risk management. J Intell Learn Syst Appl 103–112. https://doi.org/10.4236/jilsa.2011.32012

  • Piasecki K (2018) Revision of the Kosiński’s theory of ordered fuzzy numbers. Axioms 7(1). https://doi.org/10.3390/axioms7010016

  • Piasecki K (2019) Relation “greater than or equal to” between ordered fuzzy numbers. Appl Syst Innov 2(3):26. https://doi.org/10.3390/asi2030026

  • Piasecki K, Roszkowska E (2018) On application of ordered fuzzy numbers in ranking linguistically evaluated negotiation offers. Adv Fuzzy Syst 1:1–12. https://doi.org/10.1155/2018/1569860

    Article  Google Scholar 

  • Piasecki K, Roszkowska E, Łyczkowska-Hanćkowiak A (2019a). Simple additive weighting method equipped with fuzzy ranking off evaluated alternatives. Symmetry 11(4). https://doi.org/10.3390/sym11040482

  • Piasecki K, Roszkowska E, Łyczkowska-Hanćkowiak A (2019b). Impact of the orientation of the ordered fuzzy assessment on the simple additive weighted method. Symmetry 11(9). https://doi.org/10.3390/sym11091104

  • Piasecki K, Łyczkowska-Hanćkowiak A, Wójcicka-Wojtowicz A (2019c) The relation “greater than or equal to” for trapezoidal ordered fuzzy numbers. In: 37th international conference on mathematical methods in economics 2019, Conference Proceedings, Houda M, Remeš R (eds) University of South Bohemia in České Budějovice, Faculty of Economics, České Budějovice, Czech Republic, pp 61–66

    Google Scholar 

  • Prokopowicz P (2016) The directed inference for the Kosinski’s fuzzy number model. In: Abraham A, Wegrzyn-Wolska K, Hassanien A, Snasel V, Alimi A (eds) Proceedings of the second international afro-european conference for industrial advancement AECIA 2015. Advances in intelligent systems and computing, vol 427. Springer, Cham https://doi.org/10.1007/978-3-319-29504-6_46

  • Prokopowicz P, Pedrycz W (2015) The directed compatibility between ordered fuzzy numbers—a base tool for a direction sensitive fuzzy information processing. Artif Intell Soft Comput 119(9):249–259. https://doi.org/10.1007/978-3-319-19324-3_23

    Article  Google Scholar 

  • Prokopowicz P, Czerniak J, Mikołajewski D, Apiecionek Ł, Slezak D (2017) Theory and applications of ordered fuzzy number. Tribute to Professor Witold Kosiński; Stud Fuzziness Soft Comput 356 (Springer, Berlin, Germany)

    Google Scholar 

  • Roszkowska E, Kacprzak D (2016) The fuzzy SAW and fuzzy TOPSIS procedures based on ordered fuzzy numbers. Inf Sci 369:564–584. https://doi.org/10.1016/j.ins.2016.07.044

    Article  Google Scholar 

  • Samuel OW, Asogbon MG (2016) Comparative analysis of neural network and fuzzy logic techniques in credit risk evaluation. Int J Intell Inf Technol 12(1)

    Google Scholar 

  • Saunders A, Allen L (2010) Credit risk management. In and out of the financial crisis: new approaches to value at risk and other paradigms, 3 edn. Wiley

    Google Scholar 

  • Wallis LP (2001) Credit scoring. Business credit magazine

    Google Scholar 

  • Wang G, Ma J (2012) A hybrid ensemble approach for enterprise credit risk assessment based on support vector machine. Expert Syst Appl 39(5):5325–5331

    Article  Google Scholar 

  • West D (2000) Neural network credit scoring models. Comput Oper Res 27:1131–1152

    Google Scholar 

  • Wójcicka-Wójtowicz A, Piasecki K (2019) A scale of credit risk evaluations assessed by ordered fuzzy numbers. SSRN E-J, Dx. https://doi.org/10.2139/ssrn.3459822

    Article  Google Scholar 

  • Yao YY (2004) Granular computing. Comput Sci 31:1–5

    Google Scholar 

  • Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–353. https://doi.org/10.1016/S0019-9958(65)90241-X

    Article  Google Scholar 

  • Zadeh LA (1975a) The concept of a linguistic variable and its application to approximate reasoning. Part I. Information linguistic variable. Expert Syst Appl 36(2):3483–3488

    Google Scholar 

  • Zadeh LA (1975b) The concept of a linguistic variable and its application to approximate reasoning. Part II. Inf Sci 8(4):301–357. https://doi.org/10.1016/0020-0255(75)90046-8

    Article  Google Scholar 

  • Zadeh LA (1975c) The concept of a linguistic variable and its application to approximate reasoning. Part III. Inf Sci 9(1):43–80. https://doi.org/10.1016/0020-0255(75)90017-1

    Article  Google Scholar 

  • Zadeh LA (1997) Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic. Fuzzy Sets Syst 90:111–127. https://doi.org/10.1016/S0165-0114(97)00077-8

    Article  Google Scholar 

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Correspondence to Aleksandra Wójcicka-Wójtowicz .

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Wójcicka-Wójtowicz, A., Łyczkowska-Hanćkowiak, A., Piasecki, K. (2020). Application of the SAW Method in Credit Risk Assessment. In: Jajuga, K., Locarek-Junge, H., Orlowski, L., Staehr, K. (eds) Contemporary Trends and Challenges in Finance. Springer Proceedings in Business and Economics. Springer, Cham. https://doi.org/10.1007/978-3-030-43078-8_16

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