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oai:riuma.uma.es:10630/288052026-02-03T11:04:30Zcom_10630_2254col_10630_37953

Approaching the square of opposition in terms of the f-indexes of inclusion and contradiction Madrid-Labrador, Nicolás Miguel Ojeda-Aciego, Manuel Matemáticas aplicadas We continue our research line on the analysis of the properties of the f-indexes of inclusion and contradiction; in this paper, specifically, we show that both notions can be related by means of the, conveniently reformulated, Aristotelian square of opposition. We firstly show that the extreme cases of the f-indexes of inclusion and contradiction coincide with the vertexes of the Aristotelian square of opposition in the crisp case; then, we allocate the rest of f-indexes in the diagonals of the extreme cases and we prove that the Contradiction, Contrariety, Subcontrariety, Subalternation and Superalternation relations also hold between the f-indexes of inclusion and contradiction. 2024-01-17T09:52:14Z 2024-01-17T09:52:14Z 2024-01-17T09:52:14Z 2023-10-31 journal article Nicolás Madrid, Manuel Ojeda-Aciego, Approaching the square of opposition in terms of the f-indexes of inclusion and contradiction, Fuzzy Sets and Systems, Volume 476, 2024, 108769, ISSN 0165-0114, https://doi.org/10.1016/j.fss.2023.108769 https://hdl.handle.net/10630/28805 10.1016/j.fss.2023.108769 eng http://creativecommons.org/licenses/by-nc/4.0/ open access Attribution-NonCommercial 4.0 Internacional Elsevier