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A Consensus Reaching Support System Based on the Concepts of an Ideal and Anti-Ideal Agent and Option

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Fuzzy Technology

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 335))

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Abstract

We present an extension of our previous works on a moderator run consensus reaching process in a small group of autonomous decision makers (agents). Our approach is based on fuzzy preferences meant as the testimonies provided by agents, fuzzy majority represented as linguistic quantifiers in Kacprzyk’s sense, some fuzzy majority based soft measure of the consensus, proposed by Kacprzyk and Fedrizzi, that is the degree to which: “most of agents agree with their preferences to the most of options”, and Kacprzyk and Zadrożny’s ideas of a decision support system for consensus reaching, and the use of additional information expressed as linguistic summaries equated with linguistically quantified propositions. Emphasis is on the running of a consensus reaching process by a moderator. To help the moderator run the process in an effective and efficient way, we apply some additional higher-level information, notably in the form of linguistic data summaries as proposed by Kacprzyk and Zadrożny. Here, we extend our approach with a new concept of an ideal and anti-ideal agent and option, though we will concentrate of the case of the ideal and anti-ideal agent as it is more intuitively appealing than that of the ideal and anti-ideal option. The, we use a TOPSIS method based approach that was first outlined in our context by Gołuńska, Kacprzyk and Zadrożny and which boils down to the determination of a solution with the longest distance from the anti-ideal solution and the shortest distance to the ideal one. The improvement of obtaining a higher degree of consensus within the group of agents by using the enhanced moderated consensus reaching support system is illustrated with a numerical example.

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Acknowledgments

This work is partially supported by the Foundation for Polish Science under the “International PhD Projects in Intelligent Computing” financed from the European Union within the Innovative Economy Operational Programme 2007–2013 and European Regional Development Fund, and partially by the National Science Centre under Grant No. UMO–2012/05/B/ST6/03068.

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Authors and Affiliations

  1. Polish Academy of Sciences, Systems Research Institute, Ul. Newelska 6, 01-447, Warsaw, Poland

    Janusz Kacprzyk & Sławomir Zadrożny

  2. Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, 30-059, Cracow, Poland

    Dominika Gołuńska

Authors
  1. Janusz Kacprzyk
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  2. Dominika Gołuńska
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  3. Sławomir Zadrożny
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Corresponding author

Correspondence to Janusz Kacprzyk .

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Editors and Affiliations

  1. School of Business and Management, Lappeenranta University of Technology, Lappeenranta, Finland

    Mikael Collan

  2. Universita di Trento, Trento, Italy

    Mario Fedrizzi

  3. Polish Academy of Sciences, Systems Research Institute, Warsaw, Poland

    Janusz Kacprzyk

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Kacprzyk, J., Gołuńska, D., Zadrożny, S. (2016). A Consensus Reaching Support System Based on the Concepts of an Ideal and Anti-Ideal Agent and Option. In: Collan, M., Fedrizzi, M., Kacprzyk, J. (eds) Fuzzy Technology. Studies in Fuzziness and Soft Computing, vol 335. Springer, Cham. https://doi.org/10.1007/978-3-319-26986-3_7

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  • DOI: https://doi.org/10.1007/978-3-319-26986-3_7

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  • Online ISBN: 978-3-319-26986-3

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