Fuzzy Sets and Algebraic Hyperoperations to Model Interpersonal Relations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F16%3A00532939" target="_blank" >RIV/60162694:G43__/16:00532939 - isvavai.cz</a>
Result on the web
<a href="http://www.springer.com/us/book/9783319405834" target="_blank" >http://www.springer.com/us/book/9783319405834</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-319-40585-8_19" target="_blank" >10.1007/978-3-319-40585-8_19</a>

Result language
angličtina
Original language name
Fuzzy Sets and Algebraic Hyperoperations to Model Interpersonal Relations
Original language description
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.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Book/collection name
Recent Trends in Social Systems: Quantitative Theories and Quantitative Models
ISBN
978-3-319-40583-4
Number of pages of the result
11
Pages from-to
211-221
Number of pages of the book
426
Publisher name
Springer
Place of publication
Switzerland
UT code for WoS chapter
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