Abstract
This paper reviews approaches for modelling interactions and dependencies between criteria in multi-criteria decision-making (MCDM) methods. Traditionally, MCDM methods only allow the establishment of linear dependence between criteria, so they only allow for simplified models that are mostly inadequate for modelling real-life problems. Several methods have therefore been developed for modelling the interdependence between criteria and sub-criteria in MCDM. This paper makes a comparison between some popular methods that allow modelling of criteria interdependencies: Analytic Network Process (ANP), Decision Making Trial and Evaluation Laboratory (DEMATEL), Interpretive Structural Modelling (ISM), Fuzzy Measures and the Choquet Integral (CI) and Interpolative Boolean Algebra (IBA). These methods allow the establishment of interactions and comparisons between criteria using supermatrices, diagrams, fuzzy measures, fuzzy integrals and logical functions. This paper presents the MCDM approaches that include in their analysis the interdependencies and relation between criteria/sub-criteria and thus enable more efficient and realistic modelling of decision-making problems.
Keywords
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Ananda, J., Herath, G.: A critical review of multi-criteria decision making methods with special reference to forest management and planning. Ecol. Econ. 69, 2535–2548 (2009)
Angilella, S., Corrente, S., Greco, S., Slowinski, R.: MUSA-INT: multicriteria customer satisfaction analysis with interacting criteria. Omega 42, 189–200 (2014)
Attri, R., Dev, N., Sharma, V.: Interpretative Structural Modelling (ISM) approach: an overview. Res. J. Manage. Sci. 2(2), 3–8 (2013)
Chai, J., Liu, J.N.K., Ngai, E.W.T.: Application of decision-making techniques in supplier selection: a systematic review of literature. Expert Syst. Appl. 40(10), 3872–3885 (2013)
Chen, F.H., Hsu, T.S., Tzeng, G.H.: A balanced scorecard approach to establish a performance evaluation and relationship model for hot spring hotels based on hybrid MCDM model combining DEMATEL and ANP. Int. J. Hosp. Manage. 30, 908–932 (2011)
Choquet, G.: Theory of capacities. Annales de L’Institute Fourier. 5, 131–296 (1954)
Dalalah, D., Hayajneh, M., Batieha, F.: A fuzzy multi-criteria decision making model for supplier selection. Expert Syst. Appl. 38(7), 8384–8391 (2011)
Dragovic, I., Turajlic, N., Radojevic, D., Petrovic, B.: Combining Boolean consistent fuzzy logic and AHP illustrated on the web service selection problem. Int. J. Comput. Intell. Syst. 7(1), 84–93 (2013)
Falatoonitoosi, E., Leman, Z., Sorooshian, S., Salimi, M.: Decision-making trial and evaluation laboratory. Res. J. Appl. Sci. Eng. Technol. 5, 3476–3480 (2013)
Figueira, J.R., Mousseau, V., Roy, B.: ELECTRE methods. In: Figueira, J.R., Greco, S., Ehrgott, M. (eds.) Multiple Criteria Decision Analysis: The State of the Art Survey, pp. 133–162. Springer Science, Business Media Inc., New York (2005)
Fontela, E., Gabus, A.: The DEMATEL observer, DEMATEL 1976 report. Battelle Geneva Research Center, Switzerland Geneva (1976)
George, J.P., Pramod, V.R.: An interpretive structural model (ISM) analysis approach in steel re rolling mills (SRRMs). Int. J. Res. Eng. Technol. 2(4), 161–174 (2014)
Grabisch, M.: A survey of applications of fuzzy measures and integrals. In: 5th International Fuzzy Systems Association Conference, Seoul, Korea (1993)
Grabisch, M.: Fuzzy integral in multicriteria decision making. Fuzzy Sets Syst. 69, 279–298 (1995)
Grabish, M., Roubens, M.: Application of the Choquet integral in multicriteria decision making. In: Grabisch, M., Murofushi, T., Sugeno, M. (eds.) Fuzzy Measures and Integrals - Theory and Applications, pp. 348–374. Physica Verlag, Heidelberg (2000)
Gürbüz, T., Albayrak, Y.E.: An engineering approach to human resources performance evaluation: hybrid MCDM application with interactions. Appl. Soft Comput. 21, 365–375 (2014)
Gürbüz, T., Alptekin, S.E., Alptekin, G.I.: A hybrid MCDM methodology for ERP selection problem with interacting criteria. Decis. Support Syst. 54, 206–214 (2012)
Jacquet-Lagrèze, E., Siskos, Y.: Assessing a set of additive utility functions for multicriteria decision making: the UTA method. Eur. J. Oper. Res. 10, 151–164 (1982)
Keeney, R.L., Raiffa, H.: Decisions with Multiple Objectives: Preferences and Value Tradeoffs. Wiley, New York (1976)
Lee, W.-S., Huang, A.Y., Chang, Y.Y., Cheng, C.M.: Analysis of decision making factors for equity investment by DEMATEL and analytic network process. Expert Syst. Appl. 38(7), 8375–8383 (2011)
Lin, C.L., Tzeng, G.H.: A value-created system of science (technology) park by using DEMETEL. Expert Syst. Appl. 36, 9683–9697 (2009)
Mandić, K., Delibašić, B., Radojević, D.: Supplier selection using Interpolative Boolean algebra and TOPSIS method. In: Group Decision and Negotiation Conference 2014, Proceedings of the Joint International Conference of the INFORMS GDN Section and the EURO Working Group on DSS, Toulouse University, France, pp. 134–142 (2014)
Meade, L., Sakris, J.: Analyzing organizational project alternatives for the agile manufacturing process: an analytical network approach. Int. J. Prod. Res. 37(2), 241–261 (1999)
Mehregan, M.R., Hashemi, S.H., Karimi, A., Merikhi, B.: Analysis of interactions among sustainability supplier selection criteria using ISM and fuzzy DEMATEL. Int. J. Appl. Decis. Sci. 7(3), 270–294 (2014)
Murofushi, T., Soneda, S.: Techniques for reading fuzzy measures (III): interaction index. In: 9th Fuzzy System Symposium, Sapporo, Japan, pp. 693–696 (1993)
Nguyen, H.T., Dawal, S.Z.M., Nukman, Y., Aoyama, H.: A hybrid approach for fuzzy multi-criteria decision making in machine tool selection with consideration of the interactions of attributes. Expert Syst. Appl. 41, 3078–3090 (2014)
Radojevic, D.: Interpolative realization of Boolean algebra as consistent frame for gradation and/or fuzziness. In: Nikravesh, M., Kacprzyk, J., Zadeh, L.A. (eds.) Forging New Frontiers: Fuzzy Pioneers II. STUDFUZZ, vol. 218, pp. 295–318. Springer, Heidelberg (2008)
Radojevic, D.: Interpolative realization of Boolean algebra. In: Proceedings of the NEUREL 2006, The 8th Neural Network Applications in Electrical Engineering, pp. 201–206 (2006)
Radojevic, D.: Logical measure of continual logical function. In: 8th International Conference IPMU – Information Processing and Management of Uncertainty in Knowledge-based Systems, Madrid, pp. 574–578 (2000)
Saaty, T.L.: Decision making in Complex Environments, The Analytical Hierarchy Process for Decision Making with Dependence and Dependence and Feedback. RWS Publications, USA (1996)
Saaty, T.L.: The Analytic Hierarchy Process. McGraw-Hill, New York (1980)
Sage, A.P.: Interpretive Structural Modeling: Methodology for Large Scale Systems. McGraw-Hill, New York (1977)
Slowinski, R., Greco, S., Matarazzo, B.: Rough sets in decision making. In: Meyers, R.A. (ed.) Encyclopedia of Complexity and Systems Science, pp. 7753–7786. Springer, New York (2009)
Sugeno, M., Murofushi, T.: Pseudo-additive measures and integrals. J. Math. Anal. Appl. 122, 197–222 (1987)
Sugeno, M.: Fuzzy measures and fuzzy integrals – a survey. In: Gupta, M., Saridis, G., Gaines, B. (eds.) Fuzzy Automata and Decision Processes, pp. 89–102. North-Holland, Amsterdam (1977)
Sugeno, M.: Theory of fuzzy integrals and its applications. Ph.D. thesis, Tokyo Institute of Technology (1974)
Sumrit, D., Anuntavoranich, P.: Using DEMATEL method to analyzes the casual relations on technology innovation capability evaluation factors in thai technology-based firms. Int. Trans. J. Eng. Manage. Appl. Sci. Technol. 4(2), 81–103 (2013)
Tadić, S., Zečević, S., Krstić, M.: A novel hybrid MCDM model based on fuzzy DEMATEL, fuzzy ANP and fuzzy VIKOR for city logistics concept selection. Expert Syst. Appl. 41, 8112–8128 (2014)
Toloie-Eshlaghy, A., Homayonfar, M.: MCDM methodologies and applications: a literature review from 1999 to 2009. Res. J. Int. Stud. 21, 86–137 (2011)
Umm-e-Habiba, Asghar, S.: A survey on multi-criteria decision making approaches. In: International Conference on Emerging Technologies, ICET, pp. 321–325 (2009)
Velasquez, M., Hester, T.P.: An analysis of multi-criteria decision making methods. Int. J. Oper. Res. 10(2), 56–66 (2013)
Warfield, J.W.: Developing interconnected matrices in structural modelling. IEEE Trans. Syst. Men Cybern. 4(1), 51–81 (1974)
Yang, Y.P., Shieh, H.M., Leu, J.D., Tzeng, G.H.: A novel hybrid MCDM model combined with DEMATEL and ANP with applications. Int. J. Oper. Res. 5(3), 160–168 (2008)
Zadeh, A.L.: Fuzzy sets. Inf. Control 8(3), 338–353 (1965)
Zhou, Q., Huang, W., Zhang, Y.: Identifying critical success factors in emergency management using a fuzzy dematel method. Saf. Sci. 49, 243–252 (2011)
Zopounidis, C., Doumpos, M.: Multicriteria classification and sorting methods: a literature review. Eur. J. Oper. Res. 138, 229–246 (2002)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Mandic, K., Bobar, V., Delibašić, B. (2015). Modeling Interactions Among Criteria in MCDM Methods: A Review. In: Delibašić, B., et al. Decision Support Systems V – Big Data Analytics for Decision Making. ICDSST 2015. Lecture Notes in Business Information Processing, vol 216. Springer, Cham. https://doi.org/10.1007/978-3-319-18533-0_9
Download citation
DOI: https://doi.org/10.1007/978-3-319-18533-0_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-18532-3
Online ISBN: 978-3-319-18533-0
eBook Packages: Computer ScienceComputer Science (R0)