A new fuzzy multicriteria decision making method and its application in diversion of water

Taking account of uncertainty in multicriteria decision making problems is crucial due to the fact that depending on how it is done, ranking of alternatives can be completely different. This paper utilizes linguistic values to evaluate the performance of qualitative criteria and proposes using appropriate shapes of fuzzy numbers to evaluate the performance of quantitative criteria for each problem with respect to its particular conditions. In addition, a process to determine the weights of criteria using fuzzy numbers, which considers their competition to gain greater weights and their influence on each other is described. A new fuzzy methodology is proposed to solve such a problem that utilizes parametric form of fuzzy numbers. The case study of diversion of water into Lake Urmia watershed, which is defined using triangular, trapezoidal, and bell-shape fuzzy numbers demonstrates the utility of the proposed method.

[1]  Chuntian Cheng,et al.  Three-person multi-objective conflict decision in reservoir flood control , 2002, Eur. J. Oper. Res..

[2]  Chun-tian Cheng,et al.  FUZZY ITERATION METHODOLOGY FOR RESERVOIR FLOOD CONTROL OPERATION 1 , 2001 .

[3]  J. Malczewski,et al.  Ordered weighted averaging with fuzzy quantifiers: GIS-based multicriteria evaluation for land-use suitability analysis , 2006 .

[4]  D. Dubois,et al.  Fundamentals of fuzzy sets , 2000 .

[5]  Slobodan P. Simonovic,et al.  A new methodology for water resources multicriteria decision making under uncertainty , 2008 .

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

[7]  Guangtao Fu,et al.  A fuzzy optimization method for multicriteria decision making: An application to reservoir flood control operation , 2008, Expert Syst. Appl..

[8]  Jean Pierre Brans,et al.  HOW TO SELECT AND HOW TO RANK PROJECTS: THE PROMETHEE METHOD , 1986 .

[9]  Saeid Abbasbandy,et al.  Ranking of fuzzy numbers by sign distance , 2006, Inf. Sci..

[10]  Taslima Akter,et al.  Aggregation of fuzzy views of a large number of stakeholders for multi-objective flood management decision-making. , 2005, Journal of environmental management.

[11]  Richard Bellman,et al.  Decision-making in fuzzy environment , 2012 .

[12]  Ferenc Szidarovszky,et al.  Multi-attribute decision making: dominance with respect to an importance order of the attributes , 1993 .

[13]  Stefan Hajkowicz,et al.  A Review of Multiple Criteria Analysis for Water Resource Planning and Management , 2007 .

[14]  David Butler,et al.  Spatial ordered weighted averaging: incorporating spatially variable attitude towards risk in spatial multi-criteria decision-making , 2006, Environ. Model. Softw..

[15]  Miguel A. Mariño,et al.  Case Study: Application of Multicriteria Decision Making to Urban Water Supply , 2005 .

[16]  Slobodan P. Simonovic,et al.  A fuzzy compromise approach to water resource systems planning under uncertainty , 2000, Fuzzy Sets Syst..

[17]  Holger R. Maier,et al.  Reliability-Based Approach to Multicriteria Decision Analysis for Water Resources , 2004 .

[18]  Lucien Duckstein,et al.  Ranking water resource projects and evaluating criteria by multicriterion Q-analysis: an Austrian case study , 1997 .

[19]  Slobodan P. Simonovic,et al.  Participatory floodplain management in the Red River Basin, Canada , 2006, Annu. Rev. Control..