Abstract
In Social Sciences propositions and descriptions of interpersonal relationships are given by means of linguistic expressions, which cannot be formalized with the classic binary logic. Then a necessary tool are fuzzy sets that give the possibility to measure the degree of belonging of an element to a set described by a linguistic property or the degree of a relation between individuals. Moreover many times there is uncertainty on the result of an aggregation operation and we can have the necessity to consider together many possible results of the interaction of any ordered pair of elements, e.g. individuals. We propose the algebraic hyperoperations as very useful instruments to manage these types of uncertainty. We show as fuzzy relations and hypergroupoids permit to have an efficient representations of many aspects of social phenomena.
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Hošková-Mayerová, Š., Maturo, A. (2017). Fuzzy Sets and Algebraic Hyperoperations to Model Interpersonal Relations. In: Maturo, A., Hošková-Mayerová, Š., Soitu, DT., Kacprzyk, J. (eds) Recent Trends in Social Systems: Quantitative Theories and Quantitative Models. Studies in Systems, Decision and Control, vol 66. Springer, Cham. https://doi.org/10.1007/978-3-319-40585-8_19
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