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Fuzzy Aggregation of Numerical Preferences

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Book cover Fuzzy Sets in Decision Analysis, Operations Research and Statistics

Part of the book series: The Handbooks of Fuzzy Sets Series ((FSHS,volume 1))

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.

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Authors
  1. Michel Grabisch
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  2. Sergei A. Orlovski
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  3. Ronald R. Yager
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Editor information

Editors and Affiliations

  1. Poznań University of Technology, Poland

    Roman Słowiński

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Grabisch, M., Orlovski, S.A., Yager, R.R. (1998). Fuzzy Aggregation of Numerical Preferences. In: Słowiński, R. (eds) Fuzzy Sets in Decision Analysis, Operations Research and Statistics. The Handbooks of Fuzzy Sets Series, vol 1. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5645-9_2

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  • DOI: https://doi.org/10.1007/978-1-4615-5645-9_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7583-8

  • Online ISBN: 978-1-4615-5645-9

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