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Preferences and Consistency Issues in Group Decision Making

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Fuzzy Sets and Their Extensions: Representation, Aggregation and Models

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 220))

Abstract

A group selection of one alternative from a set of feasible ones should be based on the preferences of individuals in the group. Decision making procedures are usually based on pair comparisons, in the sense that processes are linked to some degree of credibility of preference. The main advantage of pairwise comparison is that of focusing exclusively on two alternatives at a time and on how they are related. However, it generates more information that needed and therefore inconsistent information may be generated. This paper addresses both preference representation and consistency of preferences issues in group decision making.

Different preference representation formats individuals can use to model or present their preferences on a set of alternatives in a group decision making situation are reviewed. The results regarding the relationships between these preference representation formats mean that the fuzzy preference relation “is preferred to” representing the strength of preference of one alternative over another in the scale [0,1] can be used as the base element to integrate these different preference representation formats in group decision making situations.

Due to the complexity of most decision making problems, individuals’ preferences may not satisfy formal properties that fuzzy preference relations are required to verify. Consistency is one of them, and it is associated with the transitivity property. Many properties have been suggested to model transitivity of fuzzy preference relations. As aforementioned, this paper provides an overview of the main results published in this area.

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Authors
  1. Francisco Chiclana
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  2. Enrique Herrera-Viedma
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  3. Sergio Alonso
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  4. Ricardo Alberto
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  5. Marques Pereira
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Editor information

Editors and Affiliations

  1. Department of Automatics and Computation, Universidad Pública de Navarra, Campus Arrosadia s/n, 31006 Pamplona, Spain

    Humberto Bustince

  2. Department of Computer Science and Artificial Intelligence (DECSAI), University of Granada, Periodista Daniel Saucedo Aranda s/n, 18071 Granada, Spain

    Francisco Herrera

  3. Faculty of Mathematics, Universidad Complutense, Plaza de las Ciencias 3, 28040 Madrid, Spain

    Javier Montero

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Chiclana, F., Herrera-Viedma, E., Alonso, S., Alberto, R., Pereira, M. (2008). Preferences and Consistency Issues in Group Decision Making. In: Bustince, H., Herrera, F., Montero, J. (eds) Fuzzy Sets and Their Extensions: Representation, Aggregation and Models. Studies in Fuzziness and Soft Computing, vol 220. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73723-0_12

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  • DOI: https://doi.org/10.1007/978-3-540-73723-0_12

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