Fuzzy Aggregation of Numerical Preferences
The Handbooks of fuzzy sets seriesPublished 1 January 1998
Michel Grabisch, S. Orlovski, Ronald R. Yager
Citations121
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TL;DR
The problem of aggregating numerical values is addressed in this chapter and the Pareto principle is explained, and the agreement-discordance principle, which is the basis of ELECTRE III and IV, is addressed.
Abstract
The problem of aggregating numerical values is addressed in this chapter. The first part deals with the aggregation of criteria into a single one. Properties which are suitable for this case are presented, together with the most common aggregation operators. A special section is devoted to ordered weighted averaging (OWA) operators, and fuzzy integrals. Then, relation between properties, links between operators, characterization of some operators are presented. An important section is devoted to the behavioral analysis of OWA operators and fuzzy integrals, linking values of parameters with the attitude of the decision maker. The last section of this first part is concerned with the problem of identification of operators in a practical problem, a key issue in every application. The second part is devoted to special aspects in aggregation of preferences, in a multiattribute context. The Pareto principle is explained, and then the agreement-discordance principle, which is the basis of ELECTRE III and IV, is addressed.
Keywords
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