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A practical approach for estimating weights of interacting criteria from profile sets

Published on Aug 1, 2015in Fuzzy Sets and Systems 2.91
· DOI :10.1016/j.fss.2015.01.011
Hazel V. Rowley10
Estimated H-index: 10
(UNSW: University of New South Wales),
Arne Geschke17
Estimated H-index: 17
(USYD: University of Sydney),
Manfred Lenzen65
Estimated H-index: 65
(USYD: University of Sydney)
Cite
Abstract
Aggregating multi-criteria data is an important problem with many applications. Commonly-used additive aggregation methods, such as the weighted arithmetic mean, cannot account for the criteria interactions encountered in many practical multi-criteria decision problems. The Choquet integral is a suitable aggregation operator in the presence of interacting criteria. It replaces the weight vector with a fuzzy measure that models the importance of each subset or coalition of criteria, rather than just the importance of individual criteria. However, estimating the fuzzy measures in practice has been problematic. Conventional approaches are cognitively challenging for decision makers, while more recent approaches suffer from prohibitive data requirements. In this paper, we present a formulation for the weights of the Choquet integral that uses principal component analysis to account for criteria interaction. This novel unsupervised approach to estimating the required fuzzy measures overcomes the limitations of other methods. The approach is applied to two case studies in environmental and sustainability analysis, and the results are compared with those of the weighted arithmetic mean. The first case is a triple bottom line analysis of 135 Australian industry sectors evaluated against 11 criteria, while the second case is an environmental life cycle assessment of 8 alternative biosolids management options evaluated against 5 criteria. These examples demonstrate the ability of the proposed approach to account for criteria interaction in these and other decision contexts.
  • References (33)
  • Citations (7)
Cite
References33
Newest
Published on Apr 1, 2013
Gilberto Arenas-Díaz1
Estimated H-index: 1
,
Édgar René Ramírez-Lamus1
Estimated H-index: 1
Published on Feb 1, 2010in European Journal of Operational Research 3.81
Silvia Angilella10
Estimated H-index: 10
(University of Catania),
Salvatore Greco52
Estimated H-index: 52
(University of Catania),
Benedetto Matarazzo34
Estimated H-index: 34
(University of Catania)
Within the multicriteria aggregation-disaggregation framework, ordinal regression aims at inducing the parameters of a decision model, for example those of a utility function, which have to represent some holistic preference comparisons of a Decision Maker (DM). Usually, among the many utility functions representing the DM's preference information, only one utility function is selected. Since such a choice is arbitrary to some extent, recently robust ordinal regression has been proposed with the...
Published on Apr 15, 2009in Environmental Science & Technology 7.15
Greg M. Peters25
Estimated H-index: 25
,
Hazel V. Rowley10
Estimated H-index: 10
To fill a gap in the information available to nonmetropolitan policy makers, eight scenarios combining processing technologies and end-uses for biosolids products associated with a 40 000 equivalent-person town were modeled using environmental life cycle assessment (LCA). An uncertainty analysis examined several key assumptions. The results showed that the reuse of biosolids products can be environmentally beneficial but transportation distances can change the preferences between technologies, a...
Published on Sep 1, 2008
Michel Grabisch39
Estimated H-index: 39
(Sorbonne),
Jean-Luc Marichal27
Estimated H-index: 27
(University of Luxembourg)
+ 1 AuthorsEndre Pap31
Estimated H-index: 31
(University of Novi Sad)
There is given a short overview of the monograph rdquoAggregation Functionsrdquo (M. Grabisch, J. L. Marichal, R. Mesiar, E. Pap), Cambridge University Press (in press).
Published on Feb 1, 2008in Journal of intelligent systems
Ivan Kojadinovic21
Estimated H-index: 21
(École polytechnique de l'université de Nantes)
In the framework of aggregation by the discrete Choquet integral, the unsupervized method for the identification of the underlying capacity initially put forward in Kojadinovic, Eur J Oper Res 2004; 155:741–751 is presented and improvements are proposed. The suggested approach consists in replacing the subjective notion of importance of a subset of attributes by that of information content of a subset of attributes, which can be estimated from the set of profiles by means of an entropy measure. ...
Published on Jan 1, 2007in Journal of Cleaner Production 6.39
Sven Lundie18
Estimated H-index: 18
(UNSW: University of New South Wales),
M.A.J. Huijbregts48
Estimated H-index: 48
+ 2 AuthorsAndrew J. Feitz19
Estimated H-index: 19
(UNSW: University of New South Wales)
Abstract The fate, exposure and effects model USES-LCA 2.0 has been adapted to calculate characterisation factors for toxic chemicals emitted under Australian conditions. Normalisation data for Australian ecotoxicity and human toxicity have been calculated using the emission data from the National Pollutant Inventory (2002/2003) and pesticide use information. National freshwater ecotoxicity and terrestrial ecotoxicity impacts are dominated by pesticide use. Total marine ecotoxicity is dominated ...
Published on Jan 1, 2007in Climate Policy 4.80
Manfred Lenzen65
Estimated H-index: 65
(USYD: University of Sydney),
Roberto Schaeffer30
Estimated H-index: 30
(UFRJ: Federal University of Rio de Janeiro),
Ryuji Matsuhashi10
Estimated H-index: 10
(UTokyo: University of Tokyo)
Even though sustainable development has been broadly debated, the clean development mechanism (CDM) still lacks sophisticated multi-criteria decision methods for identifying, selecting and assessing CDM project activities from this perspective. Bearing in mind the huge number of CDM projects that are beginning to accumulate as the carbon market gains momentum, and the importance for non-Annex I Parties to keep focused on the sustainability objective, this article aims at developing a tool for pr...
Salvatore Greco52
Estimated H-index: 52
,
Matthias Ehrgott35
Estimated H-index: 35
,
José Rui Figueira29
Estimated H-index: 29
In two volumes, this new edition presents the state of the art in Multiple Criteria Decision Analysis (MCDA). Reflecting the explosive growth in the field seen during the last several years, the editors not only present surveys of the foundations of MCDA, but look as well at many new areas and new applications. Individual chapter authors are among the most prestigious names in MCDA research, and combined their chapters bring the field completely up to date. Part I of the book considers the histo...
Published on Jan 1, 2005
Barney Foran15
Estimated H-index: 15
,
Manfred Lenzen65
Estimated H-index: 65
,
Christopher Dey22
Estimated H-index: 22
Cited By7
Newest
Published in Canadian Journal of Civil Engineering 0.74
Khwaja Mateen Mazher (PolyU: Hong Kong Polytechnic University), Albert P.C. Chan40
Estimated H-index: 40
(PolyU: Hong Kong Polytechnic University)
+ -3 AuthorsRobert Osei-Kyei8
Estimated H-index: 8
(USYD: University of Sydney)
Published on Jun 1, 2019in Progress in Planning 3.88
Fazia Ali-Toudert2
Estimated H-index: 2
(Technical University of Dortmund),
Limei Ji1
Estimated H-index: 1
(Technical University of Dortmund)
+ 1 AuthorsSina Czempik (Technical University of Dortmund)
Abstract This paper reports on the newly developed multi-criteria urban sustainability system CAMSUD (version 1.0) including the theoretical and analytical process underlying its development. CAMSUD stands for Comprehensive Assessment Method for Sustainable Urban Development. First, an extensive comparative analysis of five well-known urban rating systems is reported: CASBEE-UD, LEED-ND, BREEAM Communities, DGNB-NSQ and Green Star Communities. These rating systems are selected based on their wid...
Published on Mar 1, 2019in Computers and Electronics in Agriculture 3.17
Sabastine U. Ugbaje2
Estimated H-index: 2
(USYD: University of Sydney),
Inakwu Odeh33
Estimated H-index: 33
(USYD: University of Sydney),
Thomas Bishop19
Estimated H-index: 19
(USYD: University of Sydney)
Abstract Crop production in West Africa is largely under rainfed conditions, making the system vulnerable to the impacts of climate change. However, the impact of future climate on the geographic range of many crops in West Africa is still uncertain. This is exacerbated by considerable uncertainty in projecting future West African climate by global circulation models (GCMs). In this paper, the current land suitability for rainfed maize ( Zea mays L.) production in West Africa and how it would ch...
Published on Dec 1, 2018in Knowledge Based Systems 5.10
Xiaoyang Yao (China Jiliang University), Jianping LiXiaolei19
Estimated H-index: 19
(CAS: Chinese Academy of Sciences)
+ 1 AuthorsDengsheng Wu10
Estimated H-index: 10
(CAS: Chinese Academy of Sciences)
Abstract A perfect combination of fact-based and value-based judgments is what multiple criteria decision-making (MCDM) issues pursue. Tolerability constraints, an important part of value-based judgments, are easily observable and have drawn attention in theory. However, their practical applications in the MCDM process are still in their infancy. This paper aims to fill the gap between theory and application. A framework for tolerability constraints in the context of non-independent criteria is ...
Published on May 1, 2018in IEEE Transactions on Engineering Management 1.87
Leonardo Tomazeli Duarte10
Estimated H-index: 10
(State University of Campinas)
In multicriteria decision aiding (MCDA), the Choquet integral has been used as an aggregation operator to deal with the case of interacting decision criteria. In this context, a practical problem that arises is related to the identification of the parameters associated with the Choquet integral, which are known as the Choquet capacities. In this paper, we address the problem of capacity identification by means of unsupervised learning, which, in MCDA, refers to the situations in which only the d...
Published on May 1, 2018in Neurocomputing 4.07
André G.C. Pacheco4
Estimated H-index: 4
(UFES: Universidade Federal do Espírito Santo),
Renato A. Krohling3
Estimated H-index: 3
(UFES: Universidade Federal do Espírito Santo)
Abstract Data classification appears in many real-world problems, e.g., recognition of image patterns, differentiation among species of plants, classifying between benign and malignant tumors, among others. Many of these problems present data patterns, which are difficult to be identified, thus requiring more advanced techniques to be solved. Over the last few years, various classification algorithms have been developed to address these problems, but there is no classifier able to be the best ch...
Published on Jan 1, 2018in European Journal of Operational Research 3.81
Jianping LiXiaolei19
Estimated H-index: 19
(CAS: Chinese Academy of Sciences),
Xiaoyang Yao2
Estimated H-index: 2
(CAS: Chinese Academy of Sciences)
+ 1 AuthorsDengsheng Wu10
Estimated H-index: 10
(CAS: Chinese Academy of Sciences)
We consider multiple criteria decision aiding (MCDA) in the case of interactions between criteria. In dealing with interactions between criteria, fuzzy measures and integrals have demonstrated great advantages. Nevertheless, the determination of fuzzy measures has proven difficult because the capacities of not only single criterion but also all subsets of criteria need to be identified. Due to the value judgment essence of MCDA, the attitudes of the decision maker (DM) are typically modeled to i...
Published on Oct 1, 2017in Information Sciences 5.52
Rodolfo Lourenzutti6
Estimated H-index: 6
(UFES: Universidade Federal do Espírito Santo),
Renato A. Krohling21
Estimated H-index: 21
,
Marek Reformat22
Estimated H-index: 22
(U of A: University of Alberta)
Decision making problems are becoming increasingly complicated. Consequently, the developed methods to support decision makers are more and more general. Group decision-making is a very common scenario. When a team of decision makers is faced with a problem, it is natural to assume that due to diversity of their backgrounds and experience they may require different ways of providing their evaluations and opinions. A very common, and quite unreasonable, assumption made by decision-making methods ...
Published on Sep 1, 2016in Ecological Economics 4.28
Fabio Monsalve5
Estimated H-index: 5
(UCLM: University of Castilla–La Mancha),
Jorge Enrique Zafrilla8
Estimated H-index: 8
(UCLM: University of Castilla–La Mancha),
María-Ángeles Cadarso8
Estimated H-index: 8
(UCLM: University of Castilla–La Mancha)
The new European Agricultural Fund for Rural Development (EAFRD) was purposely established to “contribute to the promotion of sustainable rural development throughout the EU community”. This paper addresses the sustainability of the EAFRD from a triple bottom line perspective in a multiregional input-output model. This framework allows us to study both the trade relations within the EU target regions and also the relations of the EU with some other regions in the world. Additionally, the model a...