The Fuzzy WOD Model with Application to Biogas Plant Location

The decision of choosing a facility location among possible alternatives can be understood as a multi-criteria problem where the solution depends on the available knowledge and the means of exploiting it. In this sense, knowledge can take various forms, where the imprecise nature of information can be expressed by degrees of intensity in which the alternatives satisfy the given criteria. Hence, such degrees can be gradually expressed either by unique values or by intervals, in order to fully represent the characteristics of each alternative. This paper examines the selection of biogas plant location based on a decision support model capable of handling and exploiting both interval and non-interval forms of knowledge. Such model is built on a fuzzy approach to weighted overlap dominance, where an interactive procedure is developed allowing the individuals to explore and put into perspective how their different attitudes affect the final ranking of alternatives.

[1]  Nasrin Asgari,et al.  Multiple criteria facility location problems: A survey , 2010 .

[2]  J. A. Goguen,et al.  The logic of inexact concepts , 1969, Synthese.

[3]  Ivor Grattan-Guinness,et al.  Fuzzy Membership Mapped onto Intervals and Many-Valued Quantities , 1976, Math. Log. Q..

[4]  B. Roy THE OUTRANKING APPROACH AND THE FOUNDATIONS OF ELECTRE METHODS , 1991 .

[5]  Javier Montero,et al.  On the Semantics of Bipolarity and Fuzziness , 2011, Eurofuse.

[6]  Ting-Yu Chen,et al.  The interval-valued fuzzy TOPSIS method and experimental analysis , 2008, Fuzzy Sets Syst..

[7]  Reza Baradaran Kazemzadeh,et al.  PROMETHEE: A comprehensive literature review on methodologies and applications , 2010, Eur. J. Oper. Res..

[8]  Francisco Herrera,et al.  Computing with Words in Decision support Systems: An overview on Models and Applications , 2010, Int. J. Comput. Intell. Syst..

[9]  Berthold Schweizer,et al.  Probabilistic Metric Spaces , 2011 .

[10]  Jens Leth Hougaard,et al.  Weighted Overlap Dominance ― A procedure for interactive selection on multidimensional interval data , 2011 .

[11]  Francisco Herrera,et al.  Construction of Interval-Valued Fuzzy Preference Relations Using Ignorance Functions: Interval-Valued Non Dominance Criterion , 2011, Eurofuse.

[12]  Humberto Bustince,et al.  On the relevance of some families of fuzzy sets , 2007, Fuzzy Sets Syst..

[13]  G. Higgs Integrating multi-criteria techniques with geographical information systems in waste facility location to enhance public participation , 2006, Waste management & research : the journal of the International Solid Wastes and Public Cleansing Association, ISWA.

[14]  Alexis Tsoukiàs,et al.  Bipolar preference modeling and aggregation in decision support , 2008 .

[15]  Alexis Tsoukiàs,et al.  Representing preferences using intervals , 2011, Artif. Intell..

[16]  Da Ruan,et al.  Fuzzy group decision-making for facility location selection , 2003, Inf. Sci..

[17]  M. Sayadi,et al.  Extension of VIKOR method for decision making problem with interval numbers , 2009 .

[18]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .