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Strategic Analysis of a Regulatory Conflict Using Dempster-Shafer Theory and AHP for Preference Elicitation

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Abstract

Dempster-Shafer Theory (DST) and the Analytic Hierarchy Process (AHP) are integrated in order to elicit preference information from experts regarding decision makers (DMs) involved in a regulatory conflict. More precisely, DST is used for combining expert knowledge regarding preferences of a specific DM(the regulatory body), and AHP is employed for ranking feasible states in the conflict for this same DM. In order to illustrate how this preference elicitation proposal can be conveniently implemented in practice within the Graph Model for Conflict Resolution (GMCR), it is applied to a real construction dispute located in the city of Ipojuca, Brazil. The conflict is modeled with three DMs: support, opposition, and the regulatory body. Results show that the new preference methodology possesses many inherent advantages including high flexibility, the ability to capture uncertainty or even ignorance about preferences, the possibility of combining expert knowledge with respect to missing preferences, and a substantial reduction in the number of pairwise comparisons of states required to express preference information.

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References

  • Anderson DR, Sweeney DJ, Williams TA (1998). An Introduction to Management Science. West, New York, USA.

    Google Scholar 

  • Barzilai J, Cook W, and Golany B (1987). Consistent weights for judgment matrices of the relative importance for alternatives.Operations Research Letters 6:131–134.

    Article  MathSciNet  MATH  Google Scholar 

  • Barzilai J (1997). Deriving weights from pairwise comparison matrices. Journal of Operational Research Society 48(12): 1226–1232.

    Article  MATH  Google Scholar 

  • Barzilai J, Golany B. (1990). Deriving weights from pairwise comparison matrices: The additive case. Operations Research Letters 9 (6): 407–410.

    Article  MATH  Google Scholar 

  • Bashar MA, Kilgour DM, Hipel KW (2012). Fuzzy preferences in the graph model for conflict resolution.IEEE Transactions on Fuzzy Systems 20(4): 760–770.

    Article  Google Scholar 

  • Bashar MA, Kilgour DM, Hipel KW (2014). Fuzzy option prioritization for the graph model for conflict resolution. Fuzzy Sets and Systems 46:34–48.

    Article  MathSciNet  MATH  Google Scholar 

  • Bashar MA, Hipel KW, Kilgour DM, Obeidi A (2015a). Coalition fuzzy stability analysis in the graph model for conflict resolution. Journal of Intelligent Fuzzy Systems 29(2): 593–607.

    Article  MathSciNet  MATH  Google Scholar 

  • Bashar MA, Obeidi A, Kilgour DM, Hipel KW (2015b). Modelling fuzzy and interval fuzzy preferences within a graph model framework. IEEE Transactions on Fuzzy Systems 99: 1–15.

    Google Scholar 

  • Belton V, Gear AE (1983). On a shortcoming of Saaty’s method of analytic hierarchies. Omega 11: 228–230.

    Article  Google Scholar 

  • Beynon M, Curry B, Morgan P (2000). The Dempster-Shafer theory of evidence: An alternative approach to multicriteria decision modelling. Omega 28: 37–50.

    Article  Google Scholar 

  • Beynon M, Cosker D, Marshall D (2001). An expert system for multi-criteria decision making using Dempster Shafer theory. Expert Systems with Applications 20(4): 357–367.

    Article  Google Scholar 

  • Beynon M (2002). DS/AHP method: Amathematical analysis, including an understanding of uncertainty. European Journal of Operational Research 140 (1): 148–164.

    Article  MATH  Google Scholar 

  • Beynon M (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(7): 1881–1896.

    Article  MATH  Google Scholar 

  • Chen K, Kou G, Tarn JM, Song Y. (2015). Bridging the gap between missing and inconsistent values in eliciting preference from pairwise comparison matrices. Annals of Operations Research 235: 155–175.

    Article  MathSciNet  MATH  Google Scholar 

  • Dempster AP (1967a). Upper and lower probabilities induced by a multi-valued mapping.The Annals of Mathematical Statatics 38:325–339.

    Article  MATH  Google Scholar 

  • Dempster AP (1967b). Upper and lower probability inferences based on a sample from a finite univariate population. Biometrika 54: 515–528.

    Article  MathSciNet  Google Scholar 

  • Deng JL (1989). Introduction to grey system theory. Journal of Grey Systems 1(1): 1–24.

    MathSciNet  MATH  Google Scholar 

  • Fang L, Hipel KW, Kilgour DM (1993). Interactive Decision Making: The Graph Model for Conflict Resolution. Wiley and Sons, New York, USA.

    Google Scholar 

  • Fang L, Hipel KW, Kilgour DM, Peng X (2003a). A decision support system for interactive decision making, Part 1: Model Formulation. Transactions on Systems, Man and Cybernetics, C, Applied Reviews 33(1):42–55.

    Article  Google Scholar 

  • Fang L, Hipel KW, Kilgour DM, Peng X (2003b). A decision support system for interactive decision making, Part 2: Model Formulation. IEEE Transactions on Systems, Man and Cybernetics, C, Applied Reviews 33(1):56–66.

    Article  Google Scholar 

  • Fraser NM, Hipel KW (1979). Solving complex conflicts. IEEE Transactions on Systems, Man and Cybernetics 9(12):805–816.

    Article  Google Scholar 

  • Fraser NM, Hipel KW (1984). Conflict Analysis: Models and Resolutions.North-Holland, New York, USA.

    MATH  Google Scholar 

  • Fraser NM, Hipel KW (1988). Decision support systems for conflict analysis.Proceedings of the IMACS/IFOR First International Colloquium on Managerial Decision Support Systems and Knowledge-Based Systems, Manchester, United Kingdom, November 23–25, 1987.

    Google Scholar 

  • Garcia A, Obeidi A, Hipel KW (2016). Two methodological perspectives on the energy east pipeline conflict.Energy Policy 91: 397–409.

    Article  Google Scholar 

  • Gelman A (2006). The boxer, the wrestler, and the coin flip: A paradox of robust Bayesian inference and belief functions. American Statistical 60 (2):146–150.

    Article  MathSciNet  Google Scholar 

  • Harker PT (1987a). Alternative modes of questioning in the analytic hierarchy process. Mathematical Modelling 9 (3–5): 353–360.

    Article  MathSciNet  MATH  Google Scholar 

  • Harker PT (1987b). Incomplete pairwise comparisons in the analytic hierarchy process. Mathematical Modelling 9(11): 837–848.

    Article  MathSciNet  Google Scholar 

  • He S, Kilgour DM, Hipel KW (2017). A general hierarchical graph model for conflict resolution with application to greenhouse gas emission disputes between USA and China. European Journal of Operational Research 257: 919–932.

    Article  MathSciNet  MATH  Google Scholar 

  • Hipel KW, Fraser NM (1980). Metagame analysis of the garrison conflict. Water Resources Research 16(4): 629–637.

    Article  Google Scholar 

  • Hipel KW, Kilgour DM, Bashar MA (2011). Fuzzy preferences in multiple participant decision making. Sci. Iran. Trans 18(3): 627–638.

    Article  MATH  Google Scholar 

  • Hipel KW, Kilgour DM, Fang L, Peng X (1997). The decision support system GMCR in environmental conflict management. Applied Mathematics and Computing 83(2–3): 117–152.

    MATH  Google Scholar 

  • Howard N (1971) Paradoxes of Rationality: Theory of Metagames and Political Behavior. MIT Press, Cambridge, USA.

    Google Scholar 

  • Hua Z, Gong B, Xu X (2007). A DS-AHP approach for multi-attribute decision making problem with incomplete information. Expert Systems with Applications 34(3): 2221–2227.

    Article  Google Scholar 

  • Inohara T, Hipel KW (2008a). Coalition analysis in the graph model for conflict resolution. Systems Engineering 11(4): 343–359.

    Article  Google Scholar 

  • Inohara T, Hipel KW (2008b). Interrelationships among noncooperative and coalition stability concepts. Journal of Systems Science and Systems Engineering17 (1):1–29.

    Article  Google Scholar 

  • Ke Y, Fu B, De M, Hipel KW (2012a). A hierarchical multiple criteria model for eliciting relative preferences in conflict situations, Journal of Systems Science and Systems Engineering 21 (1): 56–76.

    Article  Google Scholar 

  • Ke, Y, Li KW, Hipel KW (2012b). An integrated multiple criteria preference ranking approach to the Canadian West Coast port congestion problem. Expert Systems with Applications 39(10): 9181–9190.

    Article  Google Scholar 

  • Kilgour DM, Hipel KW, Fang L (1987). The graph model for conflicts. Automatica 23(1): 41–55.

    Article  MathSciNet  MATH  Google Scholar 

  • Kilgour DM, Hipel KW, Fang L, Peng X (2001). Coalition analysis in group decision support. Group Decisision and Negotiation 10 (2): 159–175.

    Article  Google Scholar 

  • Krause P, Clark D (1993). Representing Uncertain Knowledge: An Artificial Intelligence Approach. Intellect Books, London UK.

    Book  MATH  Google Scholar 

  • Kuang H, Bashar MA, Hipel KW, Kilgour DM (2015a). Grey-based preference in a graph model for conflict resolution with multiple decision makers. IEEE Transactions on Systems, Man, and Cybernetics: Systems 45 (9): 1254–1267.

    Article  Google Scholar 

  • Kuang H, Bashar MA, Hipel KW, Kilgour DM (2015b). Strategic analysis of a Brownfield revitalization conflict using the grey-based graph model for conflict resolution. EURO Journal of Decision Process 3 (3): 219–248.

    Article  Google Scholar 

  • Li KW, Hipel KW, Kilgour DM, Fang L (2004). Preference uncertainty in the graph model for conflict resolution. IEEE Transactions on Systems, Man, Cybernetics: A, Syst. Human 34 (4): 507–520.

    Article  Google Scholar 

  • Li KW, Hipel KW, Kilgour DM, Noakes DJ (2005). Integrating uncertain preferences into status Quo analysis with application to an environmental conflict. Group Decision and Negotiation 14(6): 461–479.

    Article  Google Scholar 

  • Nash JF (1950). Equilibrium points in n-person games. Proceedings of the National Academy of Science 36:48–49.

    Article  MathSciNet  MATH  Google Scholar 

  • Nash JF (1951). Noncooperative games. Annals of Mathematics 54 (2):286–295.

    Article  MathSciNet  MATH  Google Scholar 

  • Pearl J (1990). Reasoning with belief functions: An analysis of compatibility. International Journal of Approximate Reasoning 4: 363–389.

    Article  MathSciNet  MATH  Google Scholar 

  • Rego LC, Santos AM (2015).Probabilistic preferences in the graph model for conflict resolution. IEEE Transactions on Systems, Man and Cybernetics: Systems 45: 595–608.

    Article  Google Scholar 

  • Rego LC, Vieira GIA (2016). Symmetric sequential stability in the graph model for conflict resolution with multiple decision makers. Group Decisions and Negotiation. DOI:https://doi.org/10.1007/s10726-016-9520-8.

    Google Scholar 

  • Rogova G (1994). Combining the results of several neural network classifiers. Neural Networks 7(5):777–781.

    Article  Google Scholar 

  • Roy B (1978). ELECTRE III: un alghoritme de methode de classements fonde sur une representation floue des préférences en presence de critères multiplex. Cahieres de CERO 20(1): 3–24.

    MATH  Google Scholar 

  • Saaty TL (1980). The Analytic Hierarchy Process. McGraw Hill, New York, USA.

    MATH  Google Scholar 

  • Saaty TL (1982). Decision Making for Leaders: The Analytical Hierarchy Process for Decisions in a Complex World, Lifetime Learning Publications, Belmont (CA), USA.

    Google Scholar 

  • Saaty TL (1996). Decision Making with Dependence and Feedback: The Analytic Network Process. RWS Publications, Pittsburgh, USA.

    Google Scholar 

  • Shafer G (1976). A Mathematical Theory of Evidence. Princeton University Press, Princeton, USA.

    MATH  Google Scholar 

  • Silva LGO, De Almeida-Filho AT (2016). A multicriteria approach for analysis of conflicts in evidence theory. Information Sciences: 346–347.

    Google Scholar 

  • Silva MM, Kilgour DM, Hipel KW, Costa APCS (2017a). Probabilistic composition of preferences in the graph model, with application to the new Recife project. Journal of Legal Affairs and Dispute Resolution. DOI: https://doi.org/10.1061/(ASCE)LA.1943-4170.0000235.

    Google Scholar 

  • Silva MM, Kilgour DM, Hipel KW, Costa APCS (2017b). Urban planning in Recife, Brazil: Evidence from a conflict analysis on the ‘New Recife’ Project. Journal of Urban Planning and Development. DOI: https://doi.org/10.1061/(ASCE)UP.1943-5444.0000391.

    Google Scholar 

  • Smets P, Kennes R. (1994). The transferable belief model. Artificial Intelligence 66(2): 191–234.

    Article  MathSciNet  MATH  Google Scholar 

  • Triantaphyllou E (2001). Two new cases of rank reversals when the AHP and some of its additive variants are used that do not occur with the multiplicative AHP. Multicriteria Decision Analysis 10: 11–25.

    Article  MATH  Google Scholar 

  • VonNeumann J, Morgenstern O (1944). Theory Of Games And Economic Behavior. Princeton University Press, Princeton, USA.

    Google Scholar 

  • Xu H, Hipel KW, Kilgour DM, Fang L (2018). Conflict Resolution Using the Graph Model: Strategic Interactions in Competition and Cooperation. Springer.

    Book  MATH  Google Scholar 

  • Yu J, Hipel KW, Kilgour DM, Zhao M (2016). Option prioritization for unknown preference.Journal of Systems Science and Systems Engineering 25 (1): 39–61.

    Article  Google Scholar 

  • Zadeh LA (1965). Fuzzy sets. Information and Control 8: 338–353.

    Article  MathSciNet  MATH  Google Scholar 

  • Zadeh LA (1986). A simple view of the Dempster-Shafer Theory of Evidence and its implication for the rule of combination. AI Magazine 7(2): 85–90.

    Google Scholar 

  • Zeng DZ, Fang L, Hipel KW, Kilgour DM (2006). Generalized metarationalities in the graph model for conflict resolution.Discrete Applied Mathematics 154(16):2430–2443.

    Article  MathSciNet  MATH  Google Scholar 

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Acknowledgments

The authors are grateful to the anonymous reviewers who supplied helpful suggestions that improved the quality of their paper. They would also like to thank the Conflict Analysis Group at the University of Waterloo in Canada for the use of their facilities and for providing the license for the GMCR+ software, version 0.4. Moreover, they also want to acknowledge the Brazilian National Research Council (CNPq) – (scholarship process number 305792 / 2017-2) for its financial support. Finally, a special thanks for the civil engineers Héctor Diaz and Simone Machado Santos, and Maria do Carmo Mendonca Silva for providing information about the conflict.

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Correspondence to Maisa M. Silva.

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Maisa Mendonca Silva is an assistant professor at Universidade Federal de Pernambuco, where she teaches operational research topics. She holds a PhD in management engineering from the same university. Her special research interests are: game theory, optimization methods, fuzzy theory, conflict analysis and multicriteria decision aid. Her research is published in journals such as International Journal of Information Management, International Journal of Production Economics and Mathematical Problems in Engineering. Dr. Silva is a researcher on productivity from Brazilian National Council for Scientific and Technological Development (CNPq).

Keith W. Hipel is a university professor of systems design engineering at the University of Waterloo, Past President of the Academy of Science (Royal Society of Canada (RSC)), Senior Fellow at the Centre for International Governance Innovation, and Fellow of the Balsillie School of International Affairs. Dr. Hipel received his BASc in civil engineering (1970), MASc in systems design (1972), and the PhD in civil engineering (1975) from Waterloo. His interdisciplinary research interests are the development and application of conflict resolution, multiple objective decision making and time series analysis techniques. Dr. Hipel is Foreign Member of the United States National Academy of Engineering (NAE) and holds fellow designations with IEEE, RSC and five other professional organizations. He is recipient of the JSPS Eminent Scientist Award (Japan), Sir John William Dawson Medal (RSC), Norbert Wiener Award (IEEE), Jiangsu Friendship Medal, and three honorary doctorate degrees.

Marc Kilgour is professor of mathematics at Wilfrid Laurier University, Waterloo, Ontario, Canada and adjunct professor of systems design engineering at the University of Waterloo. He holds BASc, MSc, and PhD degrees in engineering physics, applied mathematics, and mathematics from the University of Toronto. His publications can be broadly described as the mathematical analysis of decision problems. More specifically, he has contributed innovative applications of game theory and related techniques to international relations, arms control, environmental management, negotiation, arbitration, voting, fair division, and coalition formation, and has pioneered the application of decision support systems to strategic conflict. Active in 12 professional societies, he has held many editorial responsibilities including co-editing the Springer Handbook of Group Decision and Negotiation. He was President of the Peace Science Society in 2012–2013, and President of the INFORMS Section on Group Decision and Negotiation in 2015–2017.

Ana Paula Cabral Seixas Costa is an associate professor and Head of Management Engineering Department at the Universidade Federal de Pernambuco. Her research areas include information systems, group decision and negotiation, conflict analysis and neuroIS. Her research has appeared in journals such as International Journal of Information Management, International Journal of Information Technology and Decision Making and European Journal and Operation Research. Dr. Costa is also member of the editorial board of IJDSST journal and researcher on Productivity from Brazilian National Council for Scientific and Development (CNPq).

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Silva, M.M., Hipel, K.W., Kilgour, D.M. et al. Strategic Analysis of a Regulatory Conflict Using Dempster-Shafer Theory and AHP for Preference Elicitation. J. Syst. Sci. Syst. Eng. 28, 415–433 (2019). https://doi.org/10.1007/s11518-019-5420-1

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