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Soft Computing Applications for Group Decision-making and Consensus Modeling pp 103–111Cite as

Decision-making Process Using Hyperstructures and Fuzzy Structures in Social Sciences

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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 357))

Abstract

Algebraic hyperstructures represent an interesting field of algebra, important both from the theoretical point of view and also for their applications. A hypergroupoid structure can be associated with any social relationship. These hypergroupoids become hypergroups in some particular conditions, among them a condition concerning outer individuals. By analyzing it we can establish in a natural way when social relationships become optimal. The relations among persons are one of the bases of Social Sciences that usually are described by linguistic propositions. If U is a set of individuals (the universe set to consider), usually it is not possible to affirm that for an ordered pair (x, y) of persons belonging to U a relation R given in a linguistic form holds or not, as happens in a binary context. A correct and overall complete modeling of each of these relations is obtained only if we assign to every pair (x, y) ∈ U × U a real number R(x, y) = xRy belonging to interval [0, 1] that is the measure to which the decision maker believes the relation holds.

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Acknowledgements

The work presented in this paper was supported within the project “Development of basic and applied research in the long term developed by the departments of theoretical and applied foundation FMT” (Project code VÝZKUMFVT) supported by the Ministry of Defence the Czech Republic.

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Authors and Affiliations

  1. Faculty of Military Technology, Department of Mathematics and Physics, University of Defence, Brno, Czech Republic

    Sarka Hoskova-Mayerova

  2. Department of Architecture, University of Chieti-Pescara, Viale Pindaro 42, 65127, Pescara, Italy

    Antonio Maturo

Authors
  1. Sarka Hoskova-Mayerova
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  2. Antonio Maturo
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Correspondence to Sarka Hoskova-Mayerova .

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Editors and Affiliations

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

    Mikael Collan

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

    Janusz Kacprzyk

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Hoskova-Mayerova, S., Maturo, A. (2018). Decision-making Process Using Hyperstructures and Fuzzy Structures in Social Sciences. In: Collan, M., Kacprzyk, J. (eds) Soft Computing Applications for Group Decision-making and Consensus Modeling. Studies in Fuzziness and Soft Computing, vol 357. Springer, Cham. https://doi.org/10.1007/978-3-319-60207-3_7

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  • DOI: https://doi.org/10.1007/978-3-319-60207-3_7

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  • Online ISBN: 978-3-319-60207-3

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