Assessing Different Possibilities for the Reuse of an Open-pit Quarry Using the Choquet Integral

Multiple criteria decision analysis is a valuable and increasingly widely-used tool to support decision-making processes where there is a choice to be made between different options. This approach is particularly useful in the context of sustainability assessment where a complex and interconnected range of environmental, social and economic issues must be taken into consideration and where objectives are often competing. It has been generally agreed that when dealing with sustainability issues, neither an economic reductionism nor an ecological one is possible. Because in general, economic sustainability has an ecological cost, and because ecological sustainability has an economic cost, an integrative framework such as multicriteria evaluation is needed for tackling sustainability issues properly. In this sense, the analysis of the possible interactions among the elements is of particular importance for assessing the sustainability of a certain transformation. Within this context, a very important role is played by the ‘non-additive measurement theory’, that makes use of the Choquet integral. This last represents the generalization of the weighted average method and provides a computational structure for aggregating information, taking into account interactivity between criteria. The present paper proposes a multicriteria approach that is able to support decision makers in the choice of the best solution for the reuse of an abandoned open-pit quarry. Five alternative options have been compared based on different indicators that have been aggregated using the Choquet integral in order to obtain the global sustainability level of each solution and to better highlight the trade-offs between the aspects involved in the decision. Copyright © 2013 John Wiley & Sons, Ltd.

[1]  Chen Lin,et al.  The Choquet Integral Analytic Hierarchy Process for Radwaste Repository Site Selection in Taiwan , 2008, KES-AMSTA.

[2]  Evangelos Triantaphyllou,et al.  Multi-criteria Decision Making Methods: A Comparative Study , 2000 .

[3]  David L. Olson,et al.  Consistency and Accuracy in Decision Aids: Experiments with Four Multiattribute Systems* , 1995 .

[4]  José Rui Figueira,et al.  ELECTRE methods with interaction between criteria: An extension of the concordance index , 2009, Eur. J. Oper. Res..

[5]  Valentina Ferretti A Multicriteria- Spatial Decision Support System (MC-SDSS) development for siting a landfill in the Province of Torino (Italy) , 2011 .

[6]  Mojtaba Golestanifar,et al.  TISS: a decision framework for tailing impoundment site selection , 2010 .

[7]  Benjamin F. Hobbs,et al.  Energy Decisions and the Environment , 2000 .

[8]  Matthias Ehrgott,et al.  Multiple criteria decision analysis: state of the art surveys , 2005 .

[9]  Simon French,et al.  Modern Decision Making: A Guide to Modelling with Decision Support Systems , 1984 .

[10]  Michel Grabisch,et al.  K-order Additive Discrete Fuzzy Measures and Their Representation , 1997, Fuzzy Sets Syst..

[11]  Lawrence W. Lan,et al.  Selection of optimal supplier in supply chain management strategy with analytic network process and choquet integral , 2009, Comput. Ind. Eng..

[12]  Salvatore Greco,et al.  Non-additive robust ordinal regression: A multiple criteria decision model based on the Choquet integral , 2010, Eur. J. Oper. Res..

[13]  Christophe Labreuche,et al.  On the extension of pseudo-Boolean functions for the aggregation of interacting criteria , 2003, Eur. J. Oper. Res..

[14]  G. Choquet Theory of capacities , 1954 .

[15]  Iuan-Yuan Lu,et al.  The evaluation of service quality using generalized Choquet integral , 2006, Inf. Sci..

[16]  Igor Linkov,et al.  Multi-criteria decision analysis in environmental sciences: ten years of applications and trends. , 2011, The Science of the total environment.

[17]  Morteza Osanloo,et al.  An analytical approach with a reliable logic and a ranking policy for post-mining land-use determination , 2010 .

[18]  Patrick Meyer,et al.  Eliciting Preferences on Multiattribute Societies with a Choquet Integral , 2008 .

[19]  Mike Potel A Decade of Applications , 2004, IEEE Computer Graphics and Applications.

[20]  Cengiz Kahraman,et al.  Multi-criteria warehouse location selection using Choquet integral , 2010, Expert Syst. Appl..

[21]  Jacques Duchêne,et al.  Subjective Evaluation of Discomfort in Sitting Positions , 2002, Fuzzy Optim. Decis. Mak..

[22]  Atac Bascetin,et al.  A decision support system using analytical hierarchy process (AHP) for the optimal environmental reclamation of an open-pit mine , 2007 .

[23]  Yi-Chung Hu,et al.  Choquet integral-based hierarchical networks for evaluating customer service perceptions on fast food stores , 2010, Expert Syst. Appl..

[24]  菅野 道夫,et al.  Theory of fuzzy integrals and its applications , 1975 .

[25]  Harun Reşit Yazgan,et al.  Selection of dispatching rules in FMS: ANP model based on BOCR with choquet integral , 2010 .

[26]  G. Brundtland,et al.  Our common future , 1987 .

[27]  T. Saaty,et al.  The Analytic Hierarchy Process , 1985 .

[28]  David Pearce,et al.  Measuring sustainable development: progress on indicators , 1996, Environment and Development Economics.

[29]  Hsu-Hua Lee,et al.  A fuzzy hierarchy integral analytic expert decision process in evaluating foreign investment entry mode selection for Taiwanese bio-tech firms , 2011, Expert Syst. Appl..

[30]  H. Daly,et al.  Natural Capital and Sustainable Development , 1992 .

[31]  Valentina Ferretti,et al.  An analytic network process‐based approach for location problems: the case of a new waste incinerator plant in the Province of Torino (Italy) , 2010 .

[32]  Jeffrey M. Keisler,et al.  The value of assessing weights in multi‐criteria portfolio decision analysis , 2008 .

[33]  S. Heilpern,et al.  Using Choquet integral in economics , 2002 .

[34]  Giuseppe Munda,et al.  Multiple Criteria Decision Analysis and Sustainable Development , 2005 .

[35]  Angus Morrison-Saunders,et al.  SUSTAINABILITY INTEGRATION AND ASSESSMENT , 2006 .

[36]  Salvatore Greco,et al.  Assessing non-additive utility for multicriteria decision aid , 2004, Eur. J. Oper. Res..

[37]  J. March,et al.  Managerial perspectives on risk and risk taking , 1987 .

[38]  Lamia Berrah,et al.  Towards an aggregation performance measurement system model in a supply chain context , 2007, Comput. Ind..

[39]  Michel Grabisch,et al.  A review of methods for capacity identification in Choquet integral based multi-attribute utility theory: Applications of the Kappalab R package , 2008, Eur. J. Oper. Res..

[40]  Antonio Boggia,et al.  Measuring sustainable development using a multi-criteria model: a case study. , 2010, Journal of environmental management.

[41]  Slobodan P. Simonovic,et al.  Aggregation operators for soft decision making in water resources , 2000, Fuzzy Sets Syst..

[42]  Herbert A. Simon,et al.  The new science of management decision , 1960 .

[43]  M. Grabisch,et al.  A representation of preferences by the Choquet integral with respect to a 2-additive capacity , 2011 .

[44]  Ronald R. Yager,et al.  On ordered weighted averaging aggregation operators in multicriteria decisionmaking , 1988, IEEE Trans. Syst. Man Cybern..

[45]  Silvio Giove,et al.  An application of multicriteria decision making to built heritage. The redevelopment of Venice Arsenale , 2010 .

[46]  D. Pearce,et al.  Capital theory and the measurement of sustainable development: an indicator of “weak” sustainability , 1993 .

[47]  Jacek Malczewski,et al.  GIS and Multicriteria Decision Analysis , 1999 .

[48]  M. Grabisch The application of fuzzy integrals in multicriteria decision making , 1996 .

[49]  Bernard Roy,et al.  Aide multicritère à la décision : méthodes et cas , 1993 .

[50]  Jean-Claude Vansnick On the problem of weights in multiple criteria decision making (the noncompensatory approach) , 1986 .

[51]  L. Shapley A Value for n-person Games , 1988 .

[52]  Michel Grabisch,et al.  A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid , 2010, Ann. Oper. Res..