Applications of ordered weighted averaging (OWA) operators in environmental problems

Carlos Llopis-Albert, Daniel Palacios-Marques


This paper presents an application of a prioritized weighted aggregation operator based on ordered weighted averaging (OWA) to deal with stakeholders' constructive participation in water resources projects. They have different degree of acceptance or preference regarding the measures and policies to be carried out, which lead to different environmental and socio-economic outcomes, and hence, to different levels of stakeholders’ satisfaction. The methodology establishes a prioritization relationship upon the stakeholders, which preferences are aggregated by means of weights depending on the satisfaction of the higher priority policy maker. The methodology establishes a prioritization relationship upon the stakeholders, which preferences are aggregated by means of weights depending on the satisfaction of the higher priority policy maker. The methodology has been successfully applied to a Public Participation Project (PPP) in watershed management, thus obtaining efficient environmental measures in conflict resolution problems under actors’ preference uncertainties.


OWA operators; stakeholders; decision-making; water resources management

Full Text:



Berbegal-Mirabent, J., Llopis-Albert, C. (2016). Applications of fuzzy logic for determining the driving forces in collaborative research contracts. Journal of Business Research 69(4), 1446–1451.

CHS (2016). Segura river basin authority.

CHJ (2016). Júcar river basin authority.

EC (2000). Directive 2000/60/EC of the European Parliament and of the Council of October 23 2000 Establishing a Framework for Community Action in the Field of Water Policy. Official Journal of the European Communities, L327/1eL327/72. 22.12.2000

Llopis-Albert, C., Merigó, J.M., Xu, Y., (2016). A coupled stochastic inverse/sharp interface seawater intrusion approach for coastal aquifers under groundwater parameter uncertainty. Journal of Hydrology, 540, 774–783.

Llopis-Albert, C., Palacios-Marqués, D., Merigó, J.M., (2016a). Decision-making under uncertainty in environmental projects using mathematical simulation modeling. Environmental Earth Sciences.

Llopis-Albert, C., Palacios-Marqués, D., (2016). Applied Mathematical Problems in Engineering. Multidisciplinary Journal for Education, Social and Technological Sciences 3(2), 1-14.

Llopis-Albert, C., Palacios-Marqués, D., Soto-Acosta, P. (2015). Decision-making and stakeholders' constructive participation in environmental projects. Journal of Business Research 68, 1641–1644.

Llopis-Albert, C., Pulido-Velazquez, D. (2015). Using MODFLOW code to approach transient hydraulic head with a sharp-interface solution. Hydrological Processes, 29(8), 2052–2064.

Llopis-Albert, C., Merigó, J.M, Palacios-Marqués, D. (2015). Structure Adaptation in Stochastic Inverse Methods for Integrating Information. Water Resources Management 29(1), 95-107. doi:

Llopis-Albert, C., Pulido-Velazquez, D. (2014). Discussion about the validity of sharpinterface models to deal with seawater intrusion in coastal aquifers. Hydrological Processes 28(10), 3642–3654.

Llopis-Albert, C., Palacios-Marqués, D., Merigó, José .M. (2014). A coupled stochastic inverse-management framework for dealing with nonpoint agriculture pollution under groundwater parameter uncertainty. Journal of Hydrology 511, 10–16.

Llopis-Albert, C. and Capilla, J.E. (2010). Stochastic simulation of non-Gaussian 3D conductivity fields in a fractured medium with multiple statistical populations: a case study. Journal of Hydrologic Engineering, 15(7), 554-566.

Llopis-Albert, C. and Capilla, J.E. (2010a). Stochastic inverse modeling of hydraulic conductivity fields taking into account independent stochastic structures: A 3D case study. Journal of Hydrology, 391, 277–288.

Molina, J.L., Pulido-Velázquez, M., Llopis-Albert, C., Peña-Haro, S., (2012). Stochastic hydro-economic model for groundwater quality management using Bayesian networks. Water Science & Technology, 67(3), 579-586.

O'Hagan, M. (1988). Aggregating Template Rule Antecedents in Real-time Expert Systems with Fuzzy Set Logic. In, Proceedings of 22nd annual IEEE Asilomar Conference on Signals, Systems and Computers, IEEE and Maple Press, Pacific Grove, 681-689.

Peña-Haro, S., Llopis-Albert, C., Pulido-Velazquez, M. (2010) Fertilizer standards for controlling groundwater nitrate pollution from agriculture: El Salobral-Los Llanos case study, Spain. Journal of Hydrology 392(3): 174–187.

Peña-Haro, S., Pulido-Velazquez, M., Llopis-Albert, C. (2011). Stochastic hydroeconomic modeling for optimal management of agricultural groundwater nitrate pollution under hydraulic conductivity uncertainty. Environmental Modelling & Software 26 (8), 999-1008.

Pulido-Velazquez, D.; Llopis-Albert, C.; Peña-Haro, S.; Pulido-Velazquez, M. (2011). Efficient conceptual model for simulating the effect of aquifer heterogeneity on natural groundwater discharge to rivers. Advances in Water Resources 34(11), 1377-1389.

Verma, R., Sharma, B. (2016). Prioritized information fusion method for triangular fuzzy information and its application to multiple attribute decision making. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 24, 265-290.

Wang, H.M., Xu, Y.J., Merigó, J.M., (2014). Prioritized aggregation for nonhomogeneous group decision making in water resource management. Economic Computation and Economic Cybernetics Studies and Research, 48(1), 247-258.

Xu, Z.S., (2005). An Overview of Methods for Determining OWA Weights. International Journal of Intelligent Systems, 20, 843-865.

Xu, Y., Llopis-Albert, C., González, J. (2014). An application of Structural Equation Modeling for Continuous Improvement. Computer Science and Information Systems 11(2), 797–808.

Yager, R.R. (1988). On ordered weighted averaging aggregation operators in multicriteria decision making, IEEE Transactions on Systems, Man and Cybernetics B 18 (1988) 183-190.

Yager, R.R. (2004). Modeling Prioritized Multicriteria Decision Making. IEEE Transactions on Systems, Man, and Cybernetics -Part B: Cybernetics; 34, 2396-2404.

Yager, R.R. (2008). Prioritized Aggregation Operators. International Journal of Approximate Reasoning, 48, 263-274.

Yager, R.R. (2009). Prioritized OWA Aggregation. Fuzzy Optimization and Decision Making, 8, 245-262.

Yager, R.R., Kacprzyk, J., Beliakov, G. (2011). Recent developments on the ordered weighted averaging operators: Theory and practice, Springer-Verlag, Berlin.

Zadeh, L.A. (1983). A Computational Approach to Fuzzy Quantifiers in Natural Languages. Computers & Mathematics with Applications, 9, 149-184.

Abstract Views

Metrics Loading ...

Metrics powered by PLOS ALM


Cited-By (articles included in Crossref)

This journal is a Crossref Cited-by Linking member. This list shows the references that citing the article automatically, if there are. For more information about the system please visit Crossref site

1. Waste Segregation FMEA Model Integrating Intuitionistic Fuzzy Set and the PAPRIKA Method
María Carmen Carnero
Mathematics  vol: 8  issue: 8  first page: 1375  year: 2020  
doi: 10.3390/math8081375

This journal is distributed under a Creative Commons Attribution-NonCommercial-NonDerivatives 4.0 Internacional License.

Universitat Politècnica de València

e-ISSN: 2341-2593