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A Fuzzified Multicriteria Approach for Water Resource Management Based on the French School of Multicriteria
1  Department of Civil Engineering, Democritus University of Thrace, Kimmeria Campus, 67100 Xanthi, Greece
Academic Editor: ATHANASIOS LOUKAS

Abstract:

Instead of the simplified “optimization procedure,” multicriteria analysis, which also incorporates optimization theory, is an integrated tool that encompasses all aspects of decision-making. The field of water resources management is particularly well suited for applying multicriteria problems due to the various dimensions of water systems. This work emphasizes comparing alternatives and aggregating several criteria with different natures and metrics. Furthermore, the lack of knowledge or ill-defined information and the qualitative responses of experts necessitate the use of fuzziness. Hence, this article examines the use of hybrid multicriteria methods for the final ranking of alternatives. Fuzziness is employed to express data uncertainty, uncertainty during binary comparisons, and the final aggregation of criteria. It is worth noting that fuzziness is used not only to quantify uncertain information but also to justify the decision-making scheme. Even if the best multicriteria method "is a very elusive goal and this quest may never be answered," the “French school” of multicriteria could incorporate many concepts of fuzziness due to its sophisticated background. Therefore, two hybrid fuzzy outranking methods oriented towards water resource management are proposed, based on the ELECTRE and PROMETHEE methods, and useful comparisons are made. A challenge is to ensure a commensurate solution in the final decision and to avoid full compensation among the criteria by using the non-discordance principle. Additionally, ideas on how this principle can be transferred to the modified PROMETHEE method are presented.

Keywords: French school of multicriteria,multicriteria analysis, ELCETRE, PROMETHEE, fuzzy numbers, fuzzy sets and logic, water resources management

 
 
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